10QQ

6 December 2025

10QQ

Icons from TheNounProject.com

GarethBell.com

1. Made by Gareth Bell, 2025 for my Year 11 classes as a quick easy starter, covering the numeracy Corequisite material.
2. Starts out easy to get them engaged, finishes hard, for the advanced ones.
3. Five repeating sets of questions (a,b,c,d,e in bottom corner), Drawn from the coreq exams 2024 and 2023. - The main goals of these slides are to have a daily starter to settle students, that prepares for numeracy coreq. Questions here are generally easier than the coreq.
4. Date top right auto updates in ppt. �I asked my students to write the date in the top right of their book each day, just like I did.
5. To jump to a slide, run the powerpoint (e.g. f5), then type the slide number in (e.g. 47), and then press enter. I write down in my diary what slide we’re up to.
6. CQ stands for Challenge Question
7. Images either drawn in shapes, Excel (took me a while), photos I took, or from the nounproject.com so not breaking copywrite.
8. Many of the challenge questions from past Auckland Mathex Year 10 questions.
9. I am unable to sell this. Feel free to gift me a donut or something if you find it saves you hours of work. It took me days and days to make. �Gareth Bell – Winter 2025

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Page 2

6 December 2025

10QQ

8. What time �was John �the furthest �from home?��
9. Which town is furthest from Bulls?�����
10. What is the chance of �getting a 3 on a six sided die?

CQ) Which fraction is closest to pi?� ²²/₇ ³⁵⁵/₁₁₃ ³⁸/₁₃

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1. 4 × 7
2. 5²
3. 8.7 – 2.4
4. Area?
5. What is 23,700m in km?
6. How many times longer is a 24km drive than a 4km drive?
7. Which town is due East of Bulls?

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= 28

= 25

= 6.3

= 12m²

= 23.7km

= 6 times

= Drury

= ¹/₆

a

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Page 3

6 December 2025

8. How many lunches were eaten by the class who ate the most?�
9. Predict �how �many �students �in 2026����
10. My cat eats half a cup a day, there are 6 cups in a kg, and 10kg in a bag. �How long does a bag last?

CQ)I ate 30% of my M&Ms and have �35 left. How many did I start with?

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1. 27 ÷ 3
2. √9
3. 1.2 + 0.12
4. Round 3 hours 34 min�to the nearest hour
5. How many lines of �reflection does this �symbol have?
6. Cat food is �$67.95 for 10kg �at Bunnings. �How much per kg?
7. What is 20% of 10kg?

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= 9

= 3 (or -3)

= 1.32

= 4 hours

= 2

= 1100 - 1150

= 120 days

b

Number of Lunches eaten by �each class

= $6.795�or $6.80

= 2kg

= 50

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Page 4

6 December 2025

1. 7 × 3
2. 2 × 2²
3. 0.5 × 7m
4. 2 litres of milk to ml
5. How much milk in a tray of 12 bottles which are 2 litres?
6. Order these amounts of fat in milk from smallest to largest:���
7. What fraction of the above weights are under 2g?

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8. Where is the cluster in the dot plot?�
9. Draw the top view �(birds eye view) �of this child’s toy�
10. If two people each use 300ml of milk a day. How much will they need in a week?

CQ)Milk shakes are 300ml. I have 400ml of bananas, a litre of milk, 300ml of ice cream, and 100g of frozen berries. How many milkshakes do I make?

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= 21

= 2³ or 8

= 3.5m

= 2000ml

= 4.2litres or 4200ml

= 1800 ÷ 300

= 6 milkshakes

c

Number of Lunches eaten by �each class

= ⁴/₅

= 24 litres

Side View

Front View

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Page 5

6 December 2025

1. 32 ÷ 4
2. √25
3. 1.23 – 0.25
4. 12m to cm
5. What fraction of kittens are black?��
6. What is the minimum number of kittens moved, so you don’t have the same colour twice in a row?
7. How heavy is the new born kitten?

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8. In which year were there about 700 students?�
9. Convert 0.57 to a fraction
10. If kittens have 5 claws on their front legs, and 4 on their back, how many claws do two kittens have?

CQ)I have a prime number of cats in my car. There are more than 10 eyes, fewer than 40 paws and exactly 168 whiskers in my clowder. How many whiskers do cats have?

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= 8

= 5

= 0.98

= 1,200cm

=⁵⁷/₁₀₀

7 cats | 168 ÷ 7 = 24 | Cats have 24 whiskers

d

= ⁴/₇

100g

95g

105g

= 97g

= 2

= 2022

= 36 claws

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Page 6

6 December 2025

1. 9 × 6
2. 9²
3. 0.6 + (2 × 1.2)
4. How long did Rubio Brain play for?�����
5. How many $2000 laptops could you buy for this $30,000 giant ruby?
6. Estimate the angle at �the bottom of this Ruby:
7. Which is more likely, tossing a coin and getting a heads, or tossing a die and getting a 2 or 3?

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8. How much did the price go up from 2010 to 2020?��
9. Guestimate the Ruby price in 2030:�
10. Elizabeth wants a new phone worth $800. She has saved $250 and earns $50 per week babysitting. How long until she can afford it?

CQ)My right angle triangle has sides 3cm, 4cm, 5cm. Yours has �two smaller sides of 1cm. �How much bigger is mine?

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= 54

= 81

= 3

$90,000 - $100,000

Mine: 6cm^{2 �}Yours: 0.5cm² 5.5cm²

e

= 15

= coin (even chance)

= 90°

= $45,000�(80,000 – 35,000)

= 11 Weeks

= 45 minutes

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Page 7

6 December 2025

8. When was Ferdinand 5km from home?
9. How far is Clive from Bulls?����
10. A farm has 200 bulls. They want to increase capacity by 15%. How �many more bulls do they need?

CQ) List the 6 numbers on my special 6-sided die, if opposite sides add to 15 and the 6 numbers are consecutive?

1. 42 ÷ 6
2. √100
3. 0.5 × (3 + 1)
4. Area of this field?
5. What is 8,700mm in m?
6. If 5 bulls eat 15 bails of hay, how many bails per bull?
7. Which compass direction is Drury to Bulls?

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10m

23m

= 7

= 10

= 2

= 230m²

= 8.7m

= 3 Bails

= 30

a

= North

= 5,6,7,8,9,10

= 201km

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Page 8

6 December 2025

8. How many cousins do I have who are under 12?�
9. Estimate �how �many �students �halfway �between �2024 and �2025:�
10. My three friends and I split a $4.80 tub of M&Ms between us. �How much each?

CQ) The tub weighed 250 grams when full, and 170 grams when half empty. �How much when empty?

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1. 6 × 6
2. 6²
3. (3)¹ + 1
4. 2 minutes 9 seconds �to the nearest minute.
5. How many lines of �reflection does this �symbol have?
6. Cloud 9 is $120 for my party �of 8. How much each? �
7. We got a 10% discount.�What is $120 minus 10%?

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= 36

= 36

= 4

= 2 minutes

= 4

= 900 - 950

= 90 grams

b

Age of my cousins

= $15

= $108

= 4 cousins

= $1.20

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Page 9

6 December 2025

1. 32 ÷ 4
2. √9 × 3
3. 9 + 9 - 9 ÷ 9
4. 1500g to kg
5. Elloise makes a triple batch of cupcakes. Usually there is 125g of butter. How much in her recipe?
6. Order these cupcakes from biggest to smallest:��
7. What fraction of the cupcakes are 0.2kg or heavier?

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8. What is the most cupcakes Elloise balanced?
9. Draw the top view �(birds eye view) �of this Cupcake �tower:�
10. Elloise has 27 cupcakes, and I eat a third. How many left?

CQ) A number added to 2024, and a different number subtracted from 2024 both give prime numbers which differ by 10. Name them:�

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= 8

= 9

= 17

= 1.5kg

= 18 cupcakes

= 2017 and 2027 (2019 divides by 3, �2023 divides by 7, 2029 is prime)

c

Number of Cupcakes balanced�on forehead

= ²/₅

=375g

Side View

Front View

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Page 10

6 December 2025

1. 7 + 8
2. 2 + 2²
3. 7 × 1.1
4. 20cm to mm
5. What fraction of vapes have harmful nicotine?���
6. What is the minimum number of Vapes moved, to order them lowest mg/ml to highest?
7. How heavy is the vape?�

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8. How many vapers in 2023?��
9. Convert 23% to a fraction
10. If a 2ml vape contains 20mg/ml, and an addict consumes at least 5mg per day, at most how long would it last?

CQ)For what value of r is the area of a circle equal to the circumference?

= 15

= 6

= 7.7

= 200mm

=²³/₁₀₀

π × r² = 2 × π × r

r² = 2 × r

d

= ⁴/₄

19g

18g

20g

= 19.6g

= 2

= ~12%

= 8 days

20mg/ml

40mg/ml

r = 2

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Page 11

6 December 2025

1. 9 ÷ 3
2. 1.5 × 2
3. 1² × 0.1
4. How long is morning tea?�����
5. How many $6 double burgers �can you buy for $50?
6. Estimate what angle of �this burger has been eaten:
7. The Jones have had three sons, and want a girl. If they have another baby, what are the chances it is a boy?

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8. At which hour were the most burgers sold?�
9. How many more burgers sold at 6pm compared to 7pm:
10. A car travels at an average speed of 60 km/h. How long will it take to travel 300 km to get to BurgerTown?

CQ)Burger patties are baked at 410° F for 25 minutes. How hot is this in °C when F = C × (9÷5) + 32?

= 3

= 3

= 0.1

= 5 (15 – 10)

= 210° C

e

= 8

= 50% Even Chance

= 135°

= 6pm

= 5 hours

= 15 min

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Page 12

6 December 2025

1. 6 + 6 + 6
2. 2 × 3²
3. 3.5 + 4.60
4. Area rugby field:
5. What is 2.02m in mm?
6. If 8 players eat 20 oranges total, how many do 4 eat?
7. Which direction is Drury to Gore?

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8. Which hour did Keira think about Rugby 10 times?��
9. Who played the least matches?���
10. A stadium has 3000 tickets presold, and 20% more turn up on the day. How many total?

CQ) What is 5000m² in cm²?

50m

100m

= 18

= 18

= 8.10

= 5000m²

= 2020mm

= 10 oranges

= 3600

a

= South West

= 50,000,000cm²

= 2pm & 6pm

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Page 13

6 December 2025

8. Tony won the Nugget eating comp. How many did he eat?�
9. Estimate �how �many �students �in 2019:��
10. I dip my nuggets in a mix of 2 spoons of tomato to 1 spoon of mayo. How much tomato if I use 7 spoons of mayo?

CQ) In the sequence 0,0,1,1,2 (add previous two numbers) what is the highest number under 100?

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1. 28 ÷ 2
2. √16 × 2
3. 10.000 × 1.4
4. Round 15 hours 9 minutes �to the nearest hour.
5. How many lines of �reflection does this �symbol have?
6. 1000g of frozen Chicken Nuggets contain 40 nuggets. How heavy are they each?
7. The bag says 15% of the �1000g is protein. How �many grams of protein?

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= 14

= 8

= 14

= 15 hours

= 1

= 450

= 89 (3,5,8,13,21,34,55)

b

Most Nuggets Eaten

= 25g

= 150g

= 14

= 14 spoons

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Page 14

6 December 2025

1. 11 - 8
2. 2 + 2 ÷ 2
3. 3(3 + 3)
4. 2Kw to w
5. A can of Cherry Cow energy drink has 77mg of caffeine. How much in 2 cans?
6. Order the caffeine in these drinks lowest first (g per cup/can)���
7. What fraction of drinks are above the recommended 100mg per day?

8. How many people had 3 drinks?�
9. Draw the top view �(birds eye view) �of these drinks:�
10. Tom drinks a bottle of Prim each day of the week that starts with S or T. How many does he drink in a fortnight?

CQ) A square on graph paper, has an area of 196, and is centred on (0,0). Where are its corners?

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= 3

= 3

= 18

= 2000w

= 8 bottles

= (7,7), (7,-7), (-7,-7), (-7, 7)

c

Number of Drinks people had

= ²/₅

=154mg

Side View

Front View

= 1 person

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Page 15

6 December 2025

1. 24 ÷ 3
2. 5 + 5²
3. 0.5 × 0.4
4. 1.83m to cm?
5. What fraction of the pets have ears? ���
6. How many swaps to get the dogs in back row, and non-dogs in front?
7. How heavy is the handbag dog?��

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8. What is the second most common dog breed?�
9. Convert 4% to a decimal
10. Our class has 20 dogs. 2/5 of them are small. How many small dogs are there?

CQ)Dogs age 7 times faster than people. Riley gets a puppy for his 10^th birthday. How long before the dog’s dog age is twice Riley’s human age?

= 8

= 30

= 0.2

= 183cm

= 0.04

= 4 years - Riley: 14, Dog: 28

d

= ⁶/₉

7kg

6kg

8kg

= 6.4kg

= 2

= Huntaway

= 8 dogs

Registered Dog Breeds

I am a fox

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Page 16

6 December 2025

1. 7 - 13
2. 13 × 3
3. (2²)²
4. How long will 100m take?�����
5. How many $200 gazebos �can you buy for $10,000?
6. Estimate what angle above �horizon this Javelin is thrown at:
7. The school has four even houses. Describe the chance of Blue house winning with a word?

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8. How much did Taylor improve Sun to Thu?�
9. If Sat was 172cm, how high might Taylor Jump one day later?
10. The average Blue student earned 13 points. If there are 200 Blue students, how many points?

CQ) A third of my year are in Green, a quarter are in Red, a fifth in Yellow and the rest are in blue. What is the least number that could be in blue?

= -6

= 39

= 16

= 174cm

Smallest common factor = 60. �So 20 Green, 15 Red, 12 Yellow. �

e

= 50

= Unlikely (25%)

= 20° to 25°

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= 11cm

= 35 min

Best Height Taylor Jumped

= 2600

13 in Blue.

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Page 17

6 December 2025

8. Was Patrick born in Ireland?��
9. Who is celebrated 17 March?���
10. A teacher has 48 shamrock cookies for 8 St Patrick’s day prize winners. How many each?

CQ) What is the volume of a cube with surface area of 24cm²?

1. 12 ÷ 4
2. √25 - 5
3. 100(2 + 4)
4. Area of Flag?
5. What is 20cm in m?
6. If the 30:20 flag was scaled up to 120cm wide, how tall?
7. I start in Drury and go E then E. Where am I?

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20cm

30cm

= 3

= 0

= 600

= 600cm²

= 0.2m

= 80cm

= 6 cookies

a

= Fairlie

=8cm³ (sides: 2cm)

No�(Roman Britain)

St Patrick’s distance from Ireland

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Page 18

6 December 2025

8. What is the most common number of pie ingredients?
9. How much steam on the fifth pie?���
10. Piper is 80kg. He eats 10 pies and grows 1kg each week. How heavy will he be after a year?

CQ) The first Pythagorean triple is 3, 4, and 5. A similar triangle is 6, 8, 10. Another has a side of 48. What are it’s other sides?

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1. 50 × 2
2. 9² + 19
3. 0.5 + 1 × 0.5
4. Round 3 minutes 14 to the nearest minute.
5. How many lines of �reflection does this �pie have?
6. Mr Bell can bake 12 pies �an hour. How many in 10 minutes?
7. Big Bell family pies have 10% protein. How much �protein in a 314g pie?

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= 100

= 100

= 1

= 3 minutes

= 1

16

36 & 60, or 64 & 80

b

Ingredients in a pie

= 2 pies

= 31.4g

= 5

= 132kg

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Page 19

6 December 2025

1. 10 ÷ 4
2. √9.0
3. 4 + (3 × 2)¹
4. 1.2kg to grams
5. Unicorns create 4 rainbows per day. How many rainbows in a week?
6. Order these chances of spotting �a unicorn ascendingly:����
7. What fraction of unicorns on this page are black?

8. How many days had only six unicorn sightings?�
9. Draw the top view �(birds eye view) �of this round alicorn:�
10. I have two pet unicorns of mysterious gender. What is the probability I have a male and a female, and they can breed?

CQ) What is the value of �the 5 in 0.123456789?

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= 2.5

= 3

= 10

= 1200g

= 0.00005

c

Sightings on a Unicorn Safari

= ²/₄ or ½

= 28

Side View

Front View

= 1 day

= ²/₄

Number of Sightings

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Page 20

6 December 2025

1. 15 × 3
2. 8² - 4
3. 0.99 + 0.02
4. 30cm to m?
5. What fraction of the phones are Avocado? ���
6. What is the minimum number of swaps to get the phones in groups?
7. How many hours a day does the median NZ Teen spend on a phone?

8. How many youth said phones stopped them studying?�
9. Convert 35% to a decimal
10. A quarter of 300,000 NZ 15 year olds use a phone for more than 6 hours a day. How many people is this?

CQ) Which of these is not a Pythagorean Triple?�A) 3, 4, 5 B) 21, 20, 29 �C) 15, 8, 17 D) 37, 36, 11

= 45

= 60

= 1.01

= 0.3m

= 0.35

d

= ³/₆ or ¹/₂

2

1

3

3 hours �10 minutes

= 1

= 35%

= 75,000

Harmful affects of phones �for youth

MY

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Page 21

6 December 2025

1. 16.0 ÷ 2
2. √16.0
3. 3 + 3 ÷ 3
4. How many minutes of Jumps?�����
5. How many $25 Volleyballs�can you buy for $500?
6. Estimate what angle �this guide rope is at:
7. Two schools play volleyball. What is the chance (in words) that the one on the left wins?

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8. How much did the ball change in height from �0 to 2 sec?�
9. Guess how high the ball will be 1 second before the graph? �
10. A store has a 20% discount on all items. If a shirt originally costs $35, what is the sale price?

CQ) Today is the 23rd August 2023, how many more days to Christmas Day?

= 8.0

= 4

= 4

= 1.5m to 2m (in hand)

= 124 days

e

= 20

= Equally likely / Even Chance

= 45°

= 2m

= 11 min

Height of volleyball during serve in metres

= $28

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Page 22

6 December 2025

8. How old was Ryker in Season 3?��
9. Who likes skiing for a hobby?����
10. A tower elevator can take two dogs at a time and takes 5 seconds return. How long to get 7 dogs up?

CQ) Dogs have no fingers, so count like this: 1=0001, 2=0010, 3=0011, 4=0100… what is number is 7?

1. 30 × 5
2. 7²
3. 0.30 + 0.30
4. Area of Marco’s fire engine trailer (1m tall, 3m wide)?
5. What is 3m in mm?
6. Zoomer’s boat has a width to length ratio of 2:5. If it is 0.6m wide, how long is it?
7. Which direction �to go from �Sumi’s Farm to �The Bay?

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= 150

= 49

= 3m²

= 3000mm

= 1.5m

= 20 sec ��(four trips)

a

=0111

10

Sumi’s Farm

The Bay

= South West

1m

3m

= 0.60

Age

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Page 23

6 December 2025

8. What is the most common placing for our school?
9. How many paddles in the fifth pic?���
10. Waka Ama tickets are $10 for adults and $5 for kids. How much for 6 adults and 3 kids?

CQ) A piece of wood is 30cm long. It is cut into four pieces so that each piece is twice as long as the previous piece. How long are they?

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1. 24 ÷ 8
2. √81
3. 1 + 1 × 1 - 1
4. Round 100 minutes to the nearest hour.
5. How many lines of �reflection does this �Waka have?
6. Two “W6” waka weigh 300kg. how heavy is 1?
7. A Waka Ama team finish in 125 seconds in the Heat, and took 8% less time in the final. How fast was the final?

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= 3

= 9

= 1

= 2 hours

= 2

= 6

= 16cm, 8cm, 4cm, 2cm

b

Placings in Waka Ama Races

= 150kg

= 115 sec

= 3rd

= $75

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Page 24

6 December 2025

1. 7 × 6
2. 1³
3. 2(0.1 + 0.2)
4. 600ml to litres
5. A 6-inch sandwich has 4 olives. How many olives on 5 sandwiches?
6. Order these sauces’ saturated �fat from least to most:����
7. What fraction of sauces are saturated fat free?

8. What is the most common number of sauces had?
9. Draw the side �view of this �6-inch sandwich:�
10. If I have one sauce on Monday, two on Tuesday, three on Wednesday… How many on Saturday?

CQ) How much greater is the sum of the first 5 Square numbers than the sum of the first 5 Triangle numbers?�Here are the third �square and triangle �numbers:

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= 42

= 1

= 0.6

= 0.6L

= 55-35�= 20

c

Number of Sauces Mr Bell had

= ¹/₃ or ²/₆

= 20

Side

Front View

= 4 sauces

= 6 sauces

Top View

ALL ELEVEN SAUCES����� IS TOO MANY SAUCES

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Page 25

6 December 2025

1. 8 ÷ 2 ÷ 2
2. √49
3. 0.3 + 0.81
4. 12m to cm?
5. What fraction of apples have a leaf? ���
6. How many leaves should be removed, so half have no leaves?
7. Describe in words the arrow on this probability scale?

8. What is the third most popular place to grow apples?
9. 26% of apples are grown in Tasman, what is this as a decimal?
10. Which is cheaper per kg, 2kg of apples at $7.00, or 1.5kg at $4.50?

CQ) This grid has an area of �4 squares. How many �dots in a similar grid �of 100 squares?�

= 2

= 7

= 1.11

= 1200cm

= 0.26

d

= ⁸/₁₂ or ²/₃

Impossible

Certain

= Even Chance

= 2

= Otago

Where apples are grown

= (height + 1)²

= 121 dots

= ($3 per kg)

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Page 26

6 December 2025

1. 12 × 5
2. 6²
3. 0.1 + (3 × 0.2)
4. Luca starts high school at 13. What age will he finish his apprenticeship?������
5. The Trades Cert costs $8,000 for �40 weeks. How much per week?
6. Estimate the angle
7. A hammer is defenestrated from a second story. What’s the chance it lands upright (as a word)?

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8. How much more does he earn in his 40s than his 20s? ��
9. Estimate income in his 50s?
10. Which is cheaper, 5 brackets for $3, or 20 brackets for $10?

CQ) A family consist of 2 children, aged 5 and 7, and 2 adults. The total of the ages of all 4 people is 84. What was the sum of their ages 8 years ago?

= 60

= 36

= 0.7

= $100,000 - $120,000

= 84 -5 -7 -8 -8

= 56

e

= $200

= Unlikely

= 15-20°

= $25,000

= 21

Average Income over life

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Page 27

6 December 2025

8. At what time in the workout did heart rate peak?�
9. Which is the heaviest organ? ����
10. What is the average brain weight from the above table?

CQ) Find the area of the playing card considering rounded corners with 1cm radius?

1. 5 ÷ 2
2. √64
3. 0.1(8)
4. Area of playing card?
5. What is 54cm in m?
6. The heart drawing is 5:4 (wide:tall). If enlarged to 10cm tall, how wide will it be?
7. What are the four �directions on a compass �rose starting at the top �and going clockwise?

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9cm

= 2.5

= 8

= 0.8

= 54cm²

= 0.54m

= 12.5cm

= 0.6kg

a

= NESW

=53.14cm^{2� (50 + pi)}

=2:30

Heartrate during workout

6cm

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Page 28

6 December 2025

8. What is the most common number of useful drops from chickens?
9. How many blocks in the 4^th picture?���
10. Chickens spawn a baby for every two adults. If I have get 5 baby chickens how many adults did I have?

CQ) Dan tries to lists all letters of the alphabet which are prime numbers: �b, c, e, k, s, w. Which letters has he missed?

1. 1 × 1 × 1
2. 4² - 14
3. 2×(1.0 + 0.5)
4. Round 31 seconds to the nearest minute.
5. Sketch this chicken �rotated across a �vertical line of symmetry?
6. One in every 20 spawns are jockeys. How many jockeys in 120 spawns?
7. I lose 50% of my Zombie attacks. How many losses �in 46 attacks?

= 1

= 2

= 3

= 1 minute

= 20

= G M Q (2,3,5,7,11,13,17,19,23)

b

Number of useful drops from chickens

= 6 Jockeys

= 23

= 0

= 10

1

4

10

10QQ

Page 29

6 December 2025

1. 18 ÷ 3
2. √36
3. (2 + 2)²
4. 2.0g to milligrams
5. At Gallipoli, there were 4 battalions each of about 1000 men. �How many men total?
6. Order these Gallipoli fatalities, highest first (in thousands):����
7. What fraction of the table are Anzacs? (Aus and NZ)

8. How many squads lost more than 1 man?�
9. Gallipoli Soldiers ate �a lot of canned beef. �Draw the front view �of this can:�
10. NZ sent 3 soldiers for every 10 Aus sent. If Aus sent 50,000, how many NZers went?

CQ) The average of 5 numbers is 75. What number needs to be added if the average is to become 76?

= 6

= 6

= 16

= 2000mg

= 81 (76*6 – 75*5)

c

Fatalities in each squad

= ²/₅

= 4000

Side View

Front View

= 4 squads

= 15,000

Number of fatalities per squad

Top

10QQ

Page 30

6 December 2025

1. 7 × 3
2. 5² - 23
3. 1.1 × (3 - 2)
4. 3.2km to m?
5. What fraction of �the 60 petals are �orange?�
6. What is the minimum number of swaps to get all orange on one flower?
7. How pungent is this flower on the “smellometer”?

8. Which flower was second most popular?��
9. Convert 0.05 to a percentage
10. If a bee pollinates 5,000 flowers a day, and lives for 40 days, how many flowers is this?

CQ) A rectangle has a perimeter of 32cm. All the values of the sides are prime numbers. What are the possible lengths and widths?

= 21

= 2

= 1.1

= 5%

d

= ¹²/₆₀ or ¹/₅

= 12

= 7

= Bellflower

= 200,000

Flowers sold at school fair

= 3200m

= 9 and 7, or 13 and 3

10QQ

Page 31

6 December 2025

1. 25 ÷ 5
2. √4
3. 3 + 3 × 3
4. How much longer �was Tina �than �Tyler?������
5. A 132,000 score is earned by how many 100 point blocks?
6. What angle has this �arrowblock been rotated?
7. There are 7 random blocks. �What is the chance (in words) �that the next one is the square?

​

8. At what point did the score rise above 10,000?�
9. Guess the score after 3 minutes �(180 seconds)?
10. If you get 50 points for each block placed, how many blocks to get 600 points?

CQ) If two standard dice are thrown and the results multiplied, what is the probability of getting a prime number.

= 5

= 2

= 12

= 30,000 – 35,000

= ⁶/₃₆ or ¹/₆

e

= 1,320

= Unlikely

= 180°

= 125-130 sec

Techtricks score over time�(seconds)

= 12

= 14 sec

1×2, 2×1, 1×3, �3×1, 1×5, 5×1

10QQ

Page 32

6 December 2025

8. How many months did Daisy make no milk?��
9. How many cows are mostly black?����
10. I can milk 2 cows a minute.�How long to milk 32 cows?

CQ) Which three of these fractions get you closest to 1?

1. 8 × 2
2. (2 + 2)²
3. 14.5 + 1.5
4. Area of triangle?
5. What is 2 litres in millilitres?
6. I use 1 cup of milk for every 3 cups my sister does (1:3). �If we have 2 litres of milk, �how much do I use?
7. Which Compass�direction (NSEW) �is bearing 090°?

​

= 16

= 16

= 16m²

= 2000ml

= 0.5L

= 16 min

=³/₅ + ³/₂₀ + ⁴/₁₅

^{= 61}/₆₀

a

= 2 months

= East

4m

8m

= 16

Litres of milk

000°

180°

090°

270°

Daisy’s Average Daily Milk

= 2

10QQ

Page 33

6 December 2025

8. On how many days did I count people at the beach?
9. How many beach umbrellas next?��
10. Usually there are at least 3 people at the beach, but on sunny days there are two more, and then on weekends it doubles. How many on a sunny Saturday?

CQ) Mt Everest is ~9km tall. The radius of earth is 6380km. How far is it to the horizon from the top of Mt Everest? �

​

​

1. 16 ÷ 8 ÷ 2
2. √1
3. 0.45 + 0.5 + 0.05
4. Round 1000 minutes to �the nearest day.
5. How many lines of �rotation does this �Paua shell have?
6. I burn in 12 minutes at UV index 10. How many minutes to burn at a lower UV index of 5?
7. I pour 60% of my 10 litre bucket of water on a sandcastle. What is this in litres?

= 1

= 1

= 1

= 17 hours

= 1 day

= 2

= 7

c (Everest Radius) = 6389, a = 6380

b = √(6389² – 6380²)

= 339km

b

Number of people at the beach

= 24 min

= 6 litres

= 12

= 10

c

a

b

10QQ

Page 34

6 December 2025

1. 13.5 × 2
2. 3³
3. 3(0.3 + 0.6)
4. 1.2kg to g
5. How long does it take to watch 6 videos which are 30 seconds each on youcue.com?
6. Which video was viewed second most (in billions):����
7. What percentage of these videos have more than a billion views?

8. What is the most videos Mr Bust made in a month?
9. Draw the top�view of this �logo :�
10. If I watch about two hours of youcue a day, how much in a week?

CQ) A cube is made of 125 small 1cm cubes, and then dipped in paint. How many small cubes have at least 2 sides painted?�

= 27

= 27

= 2.7

= 1200g

2 sides of paint = 36 cubes

3 sides of paint = 8 cubes

Total = 44 cubes

c

Number of new videos per month

= 100% = ⁵/₅

= 3 min

Side

Front View

= 7 videos

= 14 hours

Top View

10QQ

Page 35

6 December 2025

1. 35 ÷ 5
2. √36
3. 0.6 + .06
4. 12cm to m?
5. What fraction of the kids are happy with beetroot?���
6. How many kids should be added so they stand in a 5x5 square?
7. This arrow is the chance a kid likes Beetroot, describe it in words ?

8. Which region makes about a quarter of the beetroot?
9. 2/3 of beetroot come from Hawkes Bay, what is this as a decimal?
10. Which is cheaper for beetroot:� 3kg for $10, or 5kg for $15?�

CQ) If area of octagon = 2(1 + √2) a² �(a = length of a side), then what is the area of an Octagon of side 4cm?�

= 7

= 6

= 0.66

= 0.12m

= 0.667

d

= ³/₈

Impossible

Certain

= Unlikely

= 17

= Tasman

Where Beetroot are Grown

= 2 × (2.414) × 16

= 77.25cm²

= ($3 per kg)

10QQ

Page 36

6 December 2025

1. 3 × 5
2. 4²
3. 3 + 2 × 7
4. Danni is going to Dunedin. �What time do they arrive? ������
5. The first flight is 619km how �many metres is this?
6. What angle is Baldwin St?
7. I stand at the bottom of �Baldwin St, What’s the chance �I fall up hill? (as a word)

​

​

​

​

8. How many more people at Castle than Baldwin St? �
9. How many people total?
10. Which is cheaper: a family pass for four people to Cadbury Factory for $24 or ‘The Special’ two for $10?

CQ) Baldwin St goes up 1m for every 2.86m across. If it is straight, and the diagonal is 350m, what is the change in elevation?

= 30°

= 15

= 16

= 17

= 30

= √(2.86² + 1²) …÷ 350

= 116m

e

= 619,000

= Impossible

= 2

= 6:18pm

Tourists at each Attraction

10QQ

Page 37

6 December 2025

1. 24 ÷ 3
2. √81
3. 2(6 - 1)
4. Area of the front of �this cinder block?
5. What is 18kg in g?
6. How many times heavier is an 900kg Rhino compared to a �18kg cinder block? �
7. Is it North-East, �or East-North?

​

​

8. How much did Mr Bell slow down from the first to second minute?
9. How many �Cinder blocks �on a trailer? ��
10. How much does it cost for Mr Bell to build a small castle with 50 Cinder blocks?

CQ) If 2! = 2 × 1, Evaluate 6! ÷ (5! × 3!)

20cm

= 8

= 9

= 10

= 800cm²

= 18,000g

900 ÷ 18 = 50

= $300

a

= NE

120 ÷ (120) = 1

= 3

Loading Cinder blocks on a trailer

40cm

N

?

Bricks moved

Time (min)

120 ÷ 6 = 20

10QQ

Page 38

6 December 2025

1. 2 × 3 × 4
2. 5¹ - 1⁵
3. 2×(3.0 - 3)
4. Round 1.3 seconds to the nearest minute.
5. Has this pumpkin been rotated, reflected or translated(moved)?
6. If three pumpkins have 600 seeds. How many seeds per pumpkin?
7. I lose 25% of my 600 seeds to birds. How many �seeds lost?

8. How many pumpkins did I weigh?�
9. A farmer grows 3 pumpkins the first year, uses those seeds and has 8 the second year, then 15, then 24. How many Pumpkins in the fifth year?�
10. Pumpkin Pie requires 3 eggs. If I triple the recipe, how many eggs?

CQ) If Coco finds 44.44% of pumpkins are ugly, what is the minimum number they surveyed?

= 24

= 4

= 0

= 0 minutes

= 35

= 9 (4 / 9 = 44.44%)

b

Pumpkin Weight (kg)

= 200 seeds

= 150

= 12

= 9

Rotated

10QQ

Page 39

6 December 2025

1. 0.2 ÷ 0.2
2. √100
3. 8(7 + 7)
4. 45mg to grams
5. I sleep 8 hours a night for two weeks. How much sleep? �
6. Order these caffeine drinks smallest first (in mg):����
7. What fraction of days of the week start with “T”?

8. How many nights did I get at least 8 hours?�
9. Draw the Side view �of this pillow:��
10. If I slept six and a quarter hours, and need eight and a half, how many hours short am I?

CQ) How many months have a prime number of days in 2024?

= 1

= 10

= 112

= 0.045g

= 8 (leap year)

c

Hours sleep each night

= ²/₇

= 112 hours

Front View

Side View

= 6 nights

= 2 ¼ hours

Top

10QQ

Page 40

6 December 2025

1. 9 × 8
2. 9² - 9
3. 7(2 + 0)
4. 400m to km
5. What fraction of the �players are defenders �(orange)?
6. This formation is called 433. �(ignore the goalie) How many player moves to get to 541?
7. Where on the number line would be the chance of a random player being a defender?

8. How many goals did Smeltz score? ��
9. Killen scored 16 goals in 48 games. What is this as a percentage?
10. If Chris Wood scored 40 goals in 80 games, how many goals would he probably score in his next 6 games?

CQ) If a=1 and b=4 and c=9 etc, �what is the value of M?

a) 144 b) 169 c) 196 d) 225 e) 256?

= 72

= 72

= 14

= 33%

d

= ⁴/₁₁

= B (Unlikely) �

= 2

= 24 (23 – 25 ok)

= 3

All Whites Goals 1975-2025

= 0.4km

13² = 169

10QQ

Page 41

6 December 2025

1. 39 ÷ 3
2. √25
3. 5² - 4 × 3
4. How long did Ruby spend at Uni?��������
5. A Massey Hostel costs $10,000 for 40 weeks. How much per week?
6. What angle has this �mini been rotated?
7. About 94% of nurses �get a job within a month �of graduation. What is this probability as a word?

8. In 2031, how much more money does nursing earn than retailing 2031?
9. Estimate what year nursing will earn $50 per hour?
10. Ruby gets $314 per week of student allowance. Her hostel costs $250 per week. How much is left?

CQ) What is the angle sum of �all six points on this �regular hexagram?

​

= 13

= 5

= 13

= 2035-2036

= 360° (60 × 6)

e

= $250

= Likely

= 90°

= $15

School Leaver Hourly Income

= $64

= 3 years

10QQ

Page 42

6 December 2025

8. At what time did my sail boat start to get towed back to shore? �
9. How many types of straight sail?�����
10. I sail 7km an hour. �How far in 3 hours?

CQ) How many dots on a 10 sided die?�

1. 7 × 7
2. (3 + 4)²
3. 1 + 0.1 × 10
4. Area of orange main sail?
5. What is 20cents in dollars?
6. My sail is 2m tall for every 1m wide. How high is a 3m wide sail?
7. Which Compass�direction (NESW) �is bearing 000°?

​

= 49

= 49

= 0.5 x 3 x 6

= 9m²

= $0.20

= 6m

= 21 km

= 1 + 2 + 3 + 4…

a

= 5pm

= North

6m

3m

= 2

Distance from shore (km)

000°

180°

090°

270°

= 3

= 55

10QQ

Page 43

6 December 2025

8. How many AI plans had only one mistake? �
9. What is the next number?��6, 11, 15, 18, 20
10. AI found on average 2 spelling or mistakes for every 100 words of my report. How many mistakes in a 500-word report?

CQ) I think of a number, double it, and add 8, then half it. If my final sum is 9, what number did I first think of? �

​

​

1. 100 ÷ 20
2. √64
3. 5.05 - 0.5
4. Round 203 minutes to �the nearest hour.
5. How many lines of �rotation does this �emblem have?�
6. An AI server uses 5Kwh in 3 hours. How much in a day?
7. A survey of 20 uni students found 55% had used AI for their studies. How many students is this?

= 5

= 8

= 4.55

= 3 hours 23 min

= 3 hours

= 5

= 21

(x × 2) + 8) ÷ 2 = 9

X = 5

b

Mistakes in AI Generated Plans

= 40Kwh

= 11

= 3

= 10

AI

AI

10QQ

Page 44

6 December 2025

1. 12 × 3
2. 4⁰
3. 5(6 - 7)
4. 0.8litres to ml
5. If I get 1000 subscribers a week, how many after a year?
6. Which are the hardest two industries to get into? ������
7. If 1% is 1/100, �What is 0.19% as a fraction?

8. What is the ‘normal’ amount of time to edit a video?
9. Draw this �loot from �underneath:��
10. I make $2500 a month on YouTube, how much per year?

CQ) My garden pavers are one metre squared. In a line, and the perimeter is 20m, how many pavers do I have?

= 36

= 1

= -5

= 800ml

= 9 pavers

c

Number of hours to make a video

= 19/10,000

= 52,000

Front View

= 4 hours

= $30,000

Underneath View

10QQ

Page 45

6 December 2025

1. 21 ÷ 7
2. √16
3. 4.4 + 0.6
4. 60mm to cm?
5. What percentage �of the vegetables �are carrots? �
6. How many vegetables need to swap so tomatoes are in a row?
7. Describe the chance of getting a Sugar Apple in words? � .

8. How much is a 30ȼ amber carrot worth on day 3?�
9. Day 0 is 5% of Day 2. What is 5% as a fraction? �
10. Moon Mango’s create around 12 mangos every 2 minutes. How many an hour?

CQ) 24cm of wire is used to make a frame of a classic crate, what �is the volume of this crate?

= 3

= 4

= 5

= 6cm

= 5/100 �or 1/20

d

= 75%

Impossible

Certain

= Unlikely (Very)

= 2

= 1500ȼ

Value of Amber Carrot

= 8cm³

(12 × 30) = 360

Day

10QQ

Page 46

6 December 2025

8. How much does his income increase from age 35 to 50? �
9. Estimate income aged 52?
10. Which has more caffeine: �3 coffees, 5 times a week, �or 2 coffees each day?

CQ) What number gives the same answer when I add one and a quarter to it as when I multiply it by one and a quarter?

1. 5 × 0.25
2. 8²
3. 5 + 1.25
4. How much do experienced nurses earn per year in dollars?������
5. How much is $43 multiplied�by 1000?
6. Estimate the angle:
7. What is the probability of an untrained orderly successfully performing surgery?

​

​

​

​

= 1.25

= 64

= 6.25

= $122,000

(1.25 is ¼ of what?)

= 5

e

= $153,000

= Unlikely

= 9-10°

= $15,000

= $43,000

Nurse Income over time

10QQ

Page 47

6 December 2025

8. Is Gary coming home, or leaving home?�
9. How many �creatures �are outside? �
10. How many more creatures are outside than inside?

CQ) What two consecutive primes multiply to 221?

1. 84 ÷ 6
2. √121
3. 2 × 7 + 6
4. Area of the of this �large classroom?
5. 5 litres to millilitres?
6. My floor carpet pattern requires 1 black tile for every 8 grey tiles. If I need 36 tiles, �how many are grey? �
7. Which compass direction �is Picton to Wellington?

​

​

14m

= 14

= 11

= 20

= 84m²

= 5,000ml

⁸/₉ of 36

= 32

= 5

a

= East

= 13 & 17

Gary’s Great Adventure

6m

Distance from home

Day

= 9

10QQ

Page 48

6 December 2025

1. 0.500kg × 2
2. 11²
3. 0.1 × 0.2 + 0.98
4. 2 x 100 seconds to the nearest minute.
5. Has this Licorice been rotated, reflected or translated(moved)?
6. Each All Sort has two black, two orange, and one white layer. How many black layers in 7 All Sorts?
7. What is two fifths black Licorice as a percentage?

8. How many logs did the biggest eater eat?
9. Edge pieces (off cuts) of Licorice are cut off, and sold at a discount. How many off cuts in the next pic?��
10. 500g of off cuts costs $4. �How much per kg?

CQ) I run at 10km/h to the licorice factory, and 15km/h home. �What is my average speed?

= 1kg

= 121

= 1.00

= 3 mins

= 16

If distance is 10km then speed = 20k ÷ 1 ²/₃ hours

= 12km/h

b

Licorice logs eaten

= 14 layers

2 ÷ 5 = 40%

= 6

= $8

Reflected

10QQ

Page 49

6 December 2025

1. 21 ÷ 7
2. √9
3. ½ (9 - 3¹)
4. 300ml to litres
5. I drink four 300ml cups of water. �How much is this total?
6. Which ‘large’ is second largest?���
7. The WHO says there are health benefits from drinking less than 250ml of sugar drinks a day. �What fraction of the drinks is this?

8. How many teens had 4 fizzy drinks a week?
9. Draw the �top view of �this mug:��
10. I drank four 300ml cups of water, and aim to drink 2 litres of water a day. How much more?

CQ) One set of Pythagorean Triples �is 3, 4, 5. (a² + b² = c²) �What triple adds to 30?

= 3

= 3

= 3

= 0.3L

= 5,12,13

c

Sugary Drinks per week

= ⁰/₅

1.2L

or 1200ml

Front View

Side View

= 0

2000 – 1200 �= 800ml

10QQ

Page 50

6 December 2025

1. 15 × 4
2. 5² - 8
3. 10(8 + 17)
4. 16cm to m
5. What fraction of the �phone apps are red?
6. How many minimum swaps to get the red ones in a row?
7. What letter on the number line is the chance that a student hasn’t looked at their phone yet today?

8. How many hours did Riley spend on games and videos last week?
9. What fraction of Riley’s total phone time was on messages?
10. If Riley usually has 25 hours of phone-time in a week, how many hours in a ten week term?

CQ) I have chickens and sheep, with 22 animals altogether. If there are 74 legs, how many sheep are there?

= 60

= 17

= 250

= 8/25

d

= B (Unlikely) �

= 2

= 7

= 250

Weekly Phone Use (hours)

=0.16m

= 15 sheep (60 legs) + 7 chickens (14 legs)

= ⁴/₁₂

10QQ

Page 51

6 December 2025

1. 90 ÷ 3
2. √36
3. 6² - 5²
4. Which disease was worst in 2020?�������
5. Measles (MMR) vaccine costs about $125. How much for 20?
6. What angle has this �syringe been rotated?
7. Over 98% of people with covid survive. What is this as a word?

8. Which day did I cough the most?���
9. Guess how many coughs on Sunday? �
10. 5 Zombies eat 20 brains. How many brains for 20 Zombies?

CQ) What is the sum of �all five internal angles �in a regular pentagon?

​

= 30

= 6

= 11

= 174 to 175

= 540° (180 × 3)

e

= $2500

= Very Likely

= 90°

= Saturday

Coughs per day

= 80 brains

Covid 19

10QQ

Page 52

6 December 2025

8. At what time were 7 parties booked? ��
9. How many Nuggets total?����
10. There are 9 packs of nuggets with 5 in each. How many total?

CQ) A necklace will be symmetrical and have 5 blue and 4 yellow beads. How many different necklaces could you make?

1. 9 × 8
2. (7 - 6)⁵
3. 4 + 0.3 × 2
4. Area of top of burger box?
5. What is 5m to mm?
6. We sell 20 Big Mike burgers, for every 4 Fish burgers. Simplify this ratio:
7. I sit on the beach in Gisborne, and watch the sun rise �over the ocean. Which �Compass direction �(NESW) is this?

​

= 72

= 1

= 64cm²

= 5000mm

= 5:1

= 45

= 6?

a

= 2pm

= East

8cm

8cm

= 4.6

Birthday Parties booked in June

Gisborne

= 9

M

10QQ

Page 53

6 December 2025

8. How many AI plans had only one mistake? �
9. What is the next number?��6, 11, 15, 18, 20
10. AI found on average 2 spelling or mistakes for every 100 words of my report. How many mistakes in a 500-word report?

CQ) I think of a number, double it, and add 8, then half it. If my final sum is 9, what number did I first think of? �

​

​

1. 34÷ 17
2. √49
3. 2 – 2 × 2
4. Round 20 seconds to �the nearest minute.
5. How many lines of �rotation does this �emblem have?�
6. An AI server uses 5Kwh in 3 hours. How much in a day?
7. A survey of 20 uni students found 55% had used AI for their studies. How many students is this?

= 2

= 7

= -2

= 0 min

= 5

= 21

(x × 2) + 8) ÷ 2 = 9

X = 5

b

Mistakes in AI Generated Plans

= 40Kwh

= 11

= 3

= 10

AI

AI

10QQ

Page 54

6 December 2025

10QQ

Page 55

6 December 2025

General Structure

1. Times then divide
2. Square/square root
3. Decimals (BDMAS)
4. Curriculum question (Measurement)
5. Curriculum question�(Number)
6. Curriculum question (Space/Geometry)
7. Curriculum question �(Statistics)

​

​

​

​

​

​

8. Curriculum question �(Tables Patterns graphs)
9. Curriculum question�(Other)�
10. Word Question

CQ)Mathex Challenge question (Year 10 level, Auckland 2024, 2023, 2022)

​

​

c

10QQ

Page 56

6 December 2025

External links

• Mathex 2024, year 10:
• https://drive.google.com/drive/folders/1VOR7tyliM3dfbAOCsxyqJwg9xvWmcHWL
• Mathex 2023, year 10
• 32406 numeracy paper 2024

​

2024 Mathex questions

• The first Pythagorean triple is 3, 4, and 5. A similar right angled triangle is 6, 8, 10. There is another similar triangle with one side 48. What are the other possible sides? 36 & 60, or 64 & 80
• Meave made up a new Fibonacci-type sequence where instead of the last 2 numbers being added to make the next, 3 of the last are added to make the next. If the sequence starts 0, 0, 1, 1, 2, ... which is the largest number less than a hundred that is part of the sequence? 81
• Li took the digits from this year, 2024, keeping them in order and using only plus or minus, made as many different whole number totals as possible (without using leading zeros, e.g. 02). Then he added all the totals up. What was his result?
• A square, ABCD is on graph paper, with A at the origin (0,0). If the area of the square is 49, find all the positions that C could be at. (-7, -7), (-7, 7), (7, 7), (7, -7)
• What is the volume of a cube with surface area of 24cm²? (sides: 2cm, 8cm³)
• In my pencil case there are some coloured pencils. A third of them are green, a quarter of them are red, a fifth of them are yellow and the rest are blue. What is the least number that could be blue? 13
• The first 3 Platonic solids have these number of faces: 4, 6, 8. They are also called regular polyhedrons. Count all the vertices to get the answer to this question. 18 (add a picture)
• It is a known fact that the cartoon people on the Simpsons only have 8 fingers and thumbs. So they use base 8 to do their arithmetic. Find the answer in base 8 to: 140₈ + 376_{8 = 536}
• _{This is the net of a tetrahedron. The side length is 2cm?�What is the surface area? = 4x √3 = 6.93}

58

Mathex 2023

• Put a circle round the correct answer: Which of these is not a Pythagorean Triple?� 3, 4, 5 21, 20, 29 15, 8, 17 37, 36, 11
• The grid shown has an area of 4 square units. There is a similar grid of area 100 square units. How many dots are there in this bigger grid?

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• What is the place value of the 7?

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• A piece of wood is 30cm long. It is cut into four pieces so that each piece is twice as long as the previous piece. How long is the longest piece?
• Today is the 23rd August 2023, how many more days to Christmas Day
• Martians are said to count like this: 1=0001, 2=0010, 3=0011, 4=0100, what is the Martian number 7?
• How much greater is the sum of the first 5 Square numbers than the sum of the first 5 Triangle numbers?
• A family consist of 2 children, aged 5 and 7, and 2 adults. The total of the ages of all 4 people is 84. What was the sum of their ages 8 years ago?
• Beddian Birthday Example: someone born in 1960, will be 60 in 2020. So 2020 is their Beddian Birthday. In what year would someone born in 1985 have their Beddian Birthday?
• Jess lists all the letters of the alphabet which are prime numbers: b, c, e, k, s, w, But she is not correct, which letters has she missed?
• The average of 5 numbers is 75. What number needs to be added if the average is to become 76?
• A rectangle has a perimeter of 32cm. All the sides are whole numbers and all the values of the sides are prime numbers. List the area of all possible rectangles.
• Freddie and Jonnie are playing a game of “Add to one” They need to choose three fractions, from this list, to get as close as they can to one. Find those three fractions.

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• If two standard dice are thrown and the results multiplied, what is the probability of getting a prime number.
• A cube is made of 125 small 1cm cubes, and then dipped in paint. How many small cubes have at least 2 sides painted?
• USE: Area of Octagon = 2(1 + √2) a2 (a = length of a side)�Find the area of this Octagon of side 4cm.
• Evaluate 2023! ÷ (2021! X 3!)
• The height of Mt Everest is 8849m The Earth has a radius of 6380km How far is it to the horizon for someone on the top of Mt Everest. Write you answer to the nearest km.
• Reeta wanted to give all the sweets in a packet to her five children. To Abi she gave half of all the sweets plus a half. To Bea she gave a half of all the remaining sweets plus a half, to Ceeta she gave half of all the remaining sweets plus a half. And to Debbie she gave half of all the remaining sweets plus a half and to Eddie she gave half of all the remaining sweets plus a half. How many sweets were in the packet to begin with? (no sweets were halved during this process).

59

2021 questions (there are no 2022)

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• If a=1 and b=4 and c=9 and so on, what is the value of M?
• a) 144 b) 169 c) 196 d) 225 e) 256
• ANSWER 169
• 10/2 What is the angle sum of all six points on this regular hexagram?
• ANSWER 360
• 10/3 How many dots on a 10-sided dice?
• ANSWER: 55
• 10/4 I think of a number, double it, and add 15. If my final sum is 30, what number did I first think of?
• ANSWER: 7.5
• 10/5 I have some garden pavers which are one metre squared. If I put them in a line, the perimeter is 20m, how many pavers do I have?
• ANSWER: 9
• 10/6 240mm of wire is used to make a frame of a cube, what is the volume of this cube?
• ANSWER: 8000
• 10/7 4 factorial is equal to 24 (4! = 24) Which factorial is equal to 40,320?
• ANSWER: 8!
• 10/8 What number gives the same answer when I add one and a quarter to it as when I multiply it by one and a quarter?
• ANSWER: 5

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• 10/9 Find three consecutive primes that multiply to 2,431
• ANSWER: 11, 13, and 17
• 10/10 Jayden is playing with some dominoes from the set which goes up to double six. He has every domino with at least one 4 on it. How many dominos are in front of Jayden?
• ANSWER 7
• 10/11 My dog Nikki runs at 10km/h up Three Kings Hill, and at 13km/h down Three Kings Hill. What is her average speed?
• ANSWER 11.3
• 10/12 Pythagoras Theorem: a2 + b2 = c2
• One set of Pythagorean Triples is 3, 4, 5. Find the triple that adds to 30.
• ANSWER 5, 12, 13
• 10/13 The codes on the lockers at Mathex School are always one letter of the alphabet and two numbers, such as A23 or H09. Every student has a locker with a code. At the moment, there are 57 lockers still available. How many students are at the Mathex School?
• ANSWER: 2543
• 10/14 In a field are some chickens and some sheep. There are 22 animals altogether. If there are 74 legs, how many sheep are there?
• Answer 15

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• 10/15 The Enterprise group are making necklaces to sell around the school in school colours. Each necklace will be symmetrical and have 5 blue and 4 yellow beads. They are wondering how many different necklaces they could make. How many?
• Answer: 6
• 10/16 A strobogrammatic number is a number that is rotationally symmetric, so that it appears the same when rotated 180 degrees. The last year that was a
• Strobogrammatic number was 1961. What is the previous year and next year that is a Strobogrammatic number?
• Answer: 1881 and 6009
• 10/17 The four rectangles are congruent. The area of the outer square is 100cm2 and the inner square is 64cm2. What is the perimeter of a little rectangle
• answer 20cm

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• 10/18 The first 4 Fermat primes are generated using this formula: P = 2222 + 1. Find the first 3 Fermat primes.
• Answer: 3, 5, and 17

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• 10/19 Sunny is drawing a spiral like shape on grid paper. If Sunny continues to draw the spiral shape such that the line is 840 units long, how many units will the longest straight line be?
• Answer 28

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• 10/20 My three cards in order are 1, 4 and blank. The third card could be any positive single digit integer. What is the sum of all the different multiples of three for this three digit number and add them up.

60

Ai generated word questions

• Sarah wants to buy a new phone that costs $800. She has saved $250 already and earns $50 per week babysitting. How many weeks does she need to work to afford the phone?
• A bakery makes 200 cookies per day. They want to increase production by 15%. How many more cookies do they need to bake each day?
• A rectangular garden is 10 meters long and 5 meters wide. If you want to build a fence around it, and fencing costs $15 per meter, how much will the fence cost?
• Three friends are sharing a pizza that costs $24. If they split the cost evenly, how much does each person pay?
• A car travels at an average speed of 60 km/h. How long will it take to travel 300 km?
• You have a recipe that calls for 2 cups of flour and 1 cup of sugar. You want to make a larger batch using 7 cups of sugar. How many cups of flour do you need?
• A movie theater sells tickets for $12 for adults and $8 for children. If they sell 150 adult tickets and 75 children tickets, how much money do they make in total?
• John invests $500 in a savings account that earns 3% interest per year. How much money will he have in the account after 2 years? (Simple interest)
• A store is offering a 20% discount on all items. If a shirt originally costs $35, what is the sale price?
• A group of 20 students wants to raise $500 for a school trip. If they each sell candy bars for $2 each, how many candy bars does each student need to sell on average?
• A recipe requires 1/2 cup of milk. If you want to triple the recipe, how much milk do you need?
• A map has a scale of 1 cm = 5 km. If two cities are 8 cm apart on the map, how far apart are they in real life?
• You are buying a new computer for $1200. You can either pay in full and get a 10% discount, or pay in installments with a 5% interest fee. Which option is cheaper?
• A train leaves a station at 9:00 AM and travels at a speed of 80 km/h. Another train leaves the same station at 10:00 AM and travels at 100 km/h in the same direction. When will the second train overtake the first train?
• A rectangular swimming pool is 20 meters long and 10 meters wide. If it needs to be filled to a depth of 2 meters, how many cubic meters of water are needed?

61

Possible page themes

Good for teens

• Social media hours
• Affects of social media
• Phone hours
• Sleep importance
• Uni or not
• Chances of getting a career in gaming/ youtubing/ influencing
• Actual pay for jobs
• Income with and without NCEA
• Building a deck
• AI, cheating, plagiarism
• Energy Drinks
• Vaping

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62

Teen interests

• Fast food stores like BK, or McD’s
• A sport, like soccer or cricket
• Dogs,
• Food
• Gaming: Minecraft/Fortnite
• Tetris!
• Youtube, tiktok?
• Modern Celebrities – Mr Beast Logan Paul…

Done

• Ruby,
• Paw patrol
• Unicorns

Box plots

63

64

Last Page �start over?

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6 December 2025

10QQ