AusVELS Patterns & Algebra Test (F-8)
What is your name?
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F1.1:
(ACMNA005) F1.1: What object comes next?
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F1.2:
(ACMNA005) F1.2: What object comes next?
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F1.3:
(ACMNA005) F1.3: What object comes next?
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(ACMNA018) L1.1:
(ACMNA018) L1.1a: What is happening above?
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(ACMNA018) L1.1b: Complete the pattern (e.g.type instead of circling the numbers)
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(ACMNA018) L1.2: Finish the next 5 numbers in this pattern/sequence:
1, 3, 5, 7, __, __, __, __, __
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(ACMNA018) L1.3:
(ACMNA018) L1.3a: What is happening above?
This is a required question
(ACMNA018) L1.3b: Complete the pattern (e.g.type instead of circling the numbers)
This is a required question
(ACMNA018) L1.4:
(ACMNA018) L1.4a: What is happening above?
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(ACMNA018) L1.4b: Complete the pattern (e.g.type instead of circling the numbers)
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(ACMNA018) L1.5: Finish the next 9 numbers in this pattern/sequence:
0, 10, 20, 30, __, __, __, __, __, __, __, __, __
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(ACMNA018) L1.6: What pattern do you notice?
27, 37, 47?
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(ACMNA018) L1.7a: What is happening to the digit in the ones column?
36, 46, 56
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(ACMNA018) L1.7b: Why?
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(ACMNA018) L1.8a: What is happening to the digit in the tens column?
23, 33, 43
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(ACMNA018) L1.8b: Why?
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(ACMNA035) L2.1a: Identify the missing numbers:
28, 30, 32, __, __, 38, __, __, 44 __
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(ACMNA035) L2.1b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.2a: Identify the missing numbers:
35, 40, __, 50, __, __, __, 70, __, __
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(ACMNA035) L2.2b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.3a: Identify the missing numbers:
54, 56, 58, __, __, __, 66, __, __, __
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(ACMNA035) L2.3b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.4a: Identify the missing numbers:
31, 36, 41, 46, __, __, __ , __, 71, __,
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(ACMNA035) L2.4b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.5a: Identify the missing numbers:
4, 8, 12, __, __, __ , 28, __, __, 40
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(ACMNA035) L2.5b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.6a: Identify the missing numbers:
55, 57, 59, __, __, __, __, __, 71__
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(ACMNA035) L2.6b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.7a: Identify the missing numbers:
24, 29, 34, 39, __, __, __, 59, 64, __
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(ACMNA035) L2.7b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.8a: Identify the missing numbers:
64, 68, 72, __, 80, __, __, __, 96, __
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(ACMNA035) L2.8b: Describe what was happening in the pattern ABOVE ↑
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(ACMNA035) L2.9a: What is this counting by?
93, 96, 99
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(ACMNA035) L2.9b: Finish the next five numbers in this pattern:
93, 96, __, __, __, __, __
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(ACMNA035) L2.10: Finish the next five numbers in this pattern:
104, 109, __, __, __, __, __
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(ACMNA036) L2.11: Write this word problem as a number sentence:
Miss Foster has 4 cups. She finds 2 more. How many cups does she have all together?
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(ACMNA036) L2.12: Write this word problem as a number sentence:
Baz is training for a fun run. On Monday he ran 12 km, Thursday 19 km and on the weekend he ran 22 km. How far did he run altogether?
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(ACMNA036) L2.13: Write this word problem as a number sentence:
Max is reading an exciting book that is 126 pages long. If he has read 48 pages, how many does he have left to read?
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(ACMNA036) L2.14: Write this word problem as a number sentence:
A class has 20 pupils. One day ten were away. How many are left in the school?
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(ACMNA036) L2.15: Write this word problem as a number sentence:
A boy takes 23 marbles from a bag containing 48. How many are left?
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(ACMNA036) L2.16: Create your own word problem for this number sentence:
17+19=
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(ACMNA036) L2.17: Create your own word problem for this number sentence:
207-14=
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(Standard) L2.18: Get a calculator from your teacher. Show them a sequence on the calculator that involves constant addition
I can show my teacher a sequence on the calculator that involves constant addition.
I cannot show my teacher a sequence on the calculator that involves constant addition.
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(ACMNA060) L3.1
(ACMNA060) L3.1a: Polly is making a pattern. How many buttons will be in the next/blue box above?
10
12
14
16
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(ACMNA060) L3.1b: Why did you select that answer?
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(ACMNA060) L3.2
(ACMNA060) L3.2a: What is the missing number in the pattern above?
26
30
31
35
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(ACMNA060) L3.2b: Why?
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(ACMNA060) L3.3:
(ACMNA060) L3.3a: How many matchsticks are in the next pattern?
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(ACMNA060) L3.3b: Why?
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(ACMNA060) L3.4: What is happening in the pattern below?
5, 9, 13, 17, 20, 24, 28
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(ACMNA060) L3.5: Create your own pattern involving addition:
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(ACMNA060) L3.6: Create your own pattern involving subtraction:
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(ACMNA081) L4.1a: What is happening in the pattern below?
1, 2, 4, 8, 16
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(ACMNA081) L4.1b: Complete the next three numbers in the pattern below:
1, 2, 4, 8, 16, __, __, __
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(ACMNA081) L4.2a: What is happening in the pattern below?
10, 100, 1000
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(ACMNA081) L4.2b: Complete the next number in the pattern below:
10, 100, 1000, ____
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(ACMNA081) L4.3a: What is happening in the pattern below?
10, 50, 250, 1250
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(ACMNA081) L4.3b: Complete the next number in the pattern below:
10, 50, 250, 1250, ___
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(ACMNA081): L4.4
(ACMNA081) L4.4: How many numbers will be left showing on the grid?
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(ACMNA82) L4.5: Solve the following word problem:
There are 30 paper plates in a pack.You buy 2 packs. How many plates do you have?
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(ACMNA82) L4.6a: Solve the following word problem:
Your teacher had 120 pens at the start of the year. 12 children use 5 pens each. 11 children use 4 pens each.How many pens were used?
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(ACMNA82) L4.6b: Solve the following word problem:
Your teacher had 120 pens at the start of the year. How many pens were not used?
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(ACMNA82) L4.7a: Create a number sentence/equation for the following word problem:
There are 18 bananas on the banana palm. Three people will share them. How many bananas does each person get?
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(ACMNA82) L4.7b: Solve the following word problem:
There are 18 bananas on the banana palm. Three people will share them. How many bananas does each person get?
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(ACMNA82) L4.8a: Create a number sentence/equation for the following word problem:
There are 24 sunflowers. Four sunflowers will be placed in each vase. How many vases will be needed?
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(ACMNA82) L4.8b: Solve the following word problem:
There are 24 sunflowers. Four sunflowers will be placed in each vase. How many vases will be needed?
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(ACMNA82) L4.9: Solve the following word problem:
$28 shared among 4 children.
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(ACMNA82) L4.10: Solve the following word problem:
There were 20 laptops. The IT Coordinator put 4 in each classroom. How many classrooms were there?
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(ACMNA82) L4.11: Solve the following word problem:
Bob buys a pack of 6 kiwi fruit. They cost 90c for the 6 pack. How much does each kiwi fruit cost?
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(ACMNA83) L4.12: Solve the following problem:
7 + 10 = 9 + ?
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(ACMNA83) L4.13: Solve the following problem:
7 + 10 = 21 - ?
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(ACMNA83) L4.14: Solve the following problem:
10 + 5 = 14 + ?
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(ACMNA83) L4.15: Solve the following problem:
29 + 1 = 25 + ?
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(ACMNA83) L4.16: Solve the following problem:
23+ 8 = 34 - ?
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(ACMNA83) L4.17: Solve the following word problem:
When a number is added to 23 the answer is the same as 57 minus 19. What is the number?’
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(L4 Standard) L4.18: Finish the next eight numbers in the sequence:
3, 6, 9, 12, __, __, __, __, __, __, __, __
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(L4 Standard) L4.19: Finish the next eight numbers in the sequence:
4, 8, 12, 16, __, __, __, __, __, __, __, __
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(L4 Standard) L4.20: Finish the next eight numbers in the sequence:
6, 12, 18, 24, __, __, __, __, __, __, __, __
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(L4 Standard) L4.21: Finish the next eight numbers in the sequence:
7, 14, 21, 28, __, __, __, __, __, __, __, __
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(L4 Standard) L4.22: Finish the next eight numbers in the sequence:
8, 16, 24, 32, __, __, __, __, __, __, __, __
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(L4 Standard) L4.23: Finish the next eight numbers in the sequence:
9, 18, 27, 36 __, __, __, __, __, __, __, __
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(L4 Standard) L4.24: Finish the next three fractions in the sequence:
½, 1, __, __, __,
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(L4 Standard) L4.25: Finish the next three fractions in the sequence:
⅓, ⅔, __, __, __
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(L4 Standard) L4.26: Finish the next three fractions in the sequence:
¼, ½, ¾, __, __, __
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(ACMNA107) L5.1: Finish the next two fractions in the sequence:
¾, ½, __,
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(ACMNA107) L5.2: Finish the next two fractions in the sequence:
⅞, ⅝, __, __
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(ACMNA107) L5.3: Finish the next five fractions in the sequence:
⅝, ⅞, __, __, __, __, __
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(ACMNA107) L5.4a: Create your own pattern involving the addition of fractions:
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(ACMNA107) L5.4b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA107) L5.5a: Create your own pattern involving the addition of fractions:
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(ACMNA107) L5.5b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA107) L5.6a: Create your own pattern involving the subtraction of fractions:
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(ACMNA107) L5.6b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA107) L5.7a: Create your own pattern involving the subtraction of fractions:
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(ACMNA107) L5.7b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA107) L5.8: Finish the next nine decimals in the sequence:
0.1, 0.2, 0.3, __, __, __, __, __, __, __, __, __
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(ACMNA107) L5.9: Finish the next nine decimals in the sequence:
0.2, 0.4, 0.6, __, __, __, __, __, __, __, __, __
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(ACMNA107) L5.10: Finish the next five decimals in the sequence:
0.5, 1.0, __, __, __, __, __
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(ACMNA107) L5.11: Finish the next five decimals in the sequence:
3.5, 4.7, 5.9, __, __, __, __, __
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(ACMNA107) L5.12: Finish the next three decimals in the sequence:
5.4, 4.3, __, __, __
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(ACMNA107) L5.12b / (ACMNA133) L6: What is the rule to continue the following decimal pattern?
3,25, 3.0, 2.75, 2.5, 2.25
increase by 0.5
increase by 0.25
decrease by 0.5
decrease by 0.25
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(ACMNA107) L5.13a: Create your own pattern resulting from the addition of decimals
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(ACMNA107) L5.13b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA107) L5.14a: Create your own pattern resulting from the addition of decimals
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(ACMNA107) L5.14b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA107) L5.15a: Create your own pattern resulting from the subtraction of decimals
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(ACMNA107) L5.15b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA107) L5.16a: Create your own pattern resulting from the subtraction of decimals
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(ACMNA107) L5.16b / L6 (ACMNA133): Describe the rule/what was happening in the pattern that you created above:
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(ACMNA121) L5.13: Solve the following:
3 x 2 = 12 ÷ 2
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(ACMNA121) L5.14: Solve the following:
32 ÷ 4 = ? x 1
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(ACMNA121) L5.15: Solve the following:
10 x 3 = 30 ÷ 3
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(ACMNA121) L5.16: Solve the following:
20 – 6 = 7 + ?
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(ACMNA121) L5.16: Solve the following:
1. I think of a number. I multiply it by 2 and my answer is 24. What was my number?
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(ACMNA121) L5.17: Solve the following:
I think of a number. I multiply it by 2 and my answer is 24. What was my number?
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(ACMNA121) L5.18: Solve the following:
I think of a number. I subtract 25 and add 2. I then multiply by 2. My answer is 154, what was my number?
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(ACMNA121) L5.19: Solve the following:
You start to read a book on Thursday. On Friday you read ten more pages than on Thursday to reach page 60. How many pages did you read on Thursday?
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(ACMNA133) L6.1:
(ACMNA133) L6.1a: How many mini-squares would appear in the next (7th) large square?
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(ACMNA133) L6.1b: Describe the rule for the sequence above ↑
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(ACMNA133) L6.2:
(ACMNA133) L6.2: How many dots would appear in the next (7th) triangle?
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(ACMNA133) L6.2b: Describe the rule for the sequence above ↑
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(ACMNA133) L6.3:
(ACMNA133) L6.3a: How many match-sticks would appear in the next (4th) layout?
13
18
19
24
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(ACMNA133) L6.3b: Describe the rule for the sequence above ↑
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(ACMNA133) L6.4:
(ACMNA133) L6.4a: How many sticks would tree five have?
23
31
35
45
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(ACMNA133) L6.4b: Describe the rule for the sequence above ↑
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(ACMNA133) L6.5:
(ACMNA133) L6.5a: How many seats would be in row six?
6
15
18
21
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(ACMNA133) L6.5b: Describe the rule for the sequence above ↑
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(ACMNA133) L6.6:
(ACMNA133) L6.6a: What is the rule for the above sequence?
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(ACMNA133) L6.6b: What is the 10th term in the sequence?
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(ACMNA133) L6.7:
(ACMNA133) L6.7a: What is the rule for the above sequence?
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(ACMNA133) L6.7b: What is the 10th term in the sequence?
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(ACMNA133) L6.8:
(ACMNA133) L6.8a: What is the rule for the above sequence?
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(ACMNA133) L6.8b: What is the 10th term in the sequence?
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(ACMNA134) L6.9: Solve the following:
6(2+4)
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(ACMNA134) L6.10: Solve the following:
3+12÷6
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(ACMNA134) L6.11: Solve the following:
(1+4)÷5
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(ACMNA134) L6.12: Solve the following:
4×3⁴
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(ACMNA134) L6.13: Solve the following:
(15÷3)²
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(ACMNA134) L6.14: Solve the following:
(7−4)×2÷(5−3)
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(ACMNA134) L6.15: Solve the following:
((2+23−7)×2)÷4
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(ACMNA134) L6.16: Solve the following:
8×8+2+5−6
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(ACMNA134) L6.17: Solve the following:
(8−(10−9))÷(8−1)
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(ACMNA134) L6.18: Solve the following:
(6+(−7)−1)×8
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(ACMNA134) L6.19: Solve the following:
(−6)−((−2)−5)²
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(ACMNA134) L6.20: Solve the following:
((−6)÷(−3))×((−30)÷(−3))
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(ACMNA134) L6.21: Create your own number sentence using brackets and order of operations:
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(ACMNA134) L6.22: Create your own number sentence using brackets and order of operations:
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(ACMNA175) L7.1a:
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(ACMNA175) L7.1b:
(ACMNA175) L7.1b: What equation involving variables is pictured above?
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(ACMNA175) L7.2a: Solve the following:
If t - 6 = 8, what is t?
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(ACMNA175) L7.2b: Solve the following:
If t - 6 = 8, what is 3t?
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(ACMNA175) L7.3: Solve the following:
If q=12, what is 4q?
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(ACMNA175) L7.4a: Solve the following:
If n + 3 = 9, what is n?
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(ACMNA175) L7.4b: Solve the following:
If n + 3 = 9, what is n + 5?
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(ACMNA175) L7.5: Solve the following:
If x=4 and y=6 what is 2x+3y?
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(ACMNA176) L7.6a: Create your own algebraic equation and evaluate them by seeing if you can successfully solve them:
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(ACMNA176) L7.6b: Create your own algebraic equation and evaluate them by seeing if you can successfully solve them:
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(ACMNA176) L7.7a: Create a very long equation and then solve it (underneath and line by line) using the order of operations, inserting brackets where necessary)
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(ACMNA176) L7.7b: Create a very long equation and then solve it (underneath and line by line) using the order of operations, inserting brackets where necessary)
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(ACMNA176) L7.8: Read the following algebraic word problem and create a matching algebraic equation:
If your friend scores 14 points in a quarter of a basketball game, how many is he/she likely to score for the whole game?
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(ACMNA176) L7.9: Create your own algebraic word problem and a matching algebraic equation:
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(ACMNA190) L8.0: Read and solve the following:
If 3(4+5) = 3×4 + 3×5 what does 2(3+8)=
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(ACMNA190) L8.1: Read and solve the following:
If 2(a + b) = 2a + 2b what does 3(a − b) =
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(ACMNA190) L8.2: Read and solve the following:
5(x + 2y) =
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(ACMNA190) L8.3: Read and solve the following:
3x(x + y) =
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(ACMNA190) L8.4: Read and solve the following:
−2(a + b) =
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(ACMNA190) L8.5: Read and solve the following:
−3(a − b) =
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(ACMNA190) L8.6: Read the following example:
(ACMNA190) L8.7:
(ACMNA190) L8.7a: Create an algebraic expression to match the area model (above).
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(ACMNA190) L8.8: Apply the distributive law to expand the algebraic expression below using the area model (draw the area model in your book)
7(3y−2)
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(ACMNA190) L8.9: Read the following algebraic expression:
(ACMNA190) L8.9a: Expand the above algebraic expression:
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(ACMNA190) L8.10: Read the following algebraic expression:
(ACMNA190) L8.10a: Expand the above algebraic expression:
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(ACMNA190) L8.11: Expand the brackets and collect like terms:
2(x−6)+5x
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(ACMNA190) L8.12: Expand the brackets and collect like terms:
3(2x+4)+6(x−1)
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(ACMNA191) L8.13: Factorise:
4a+12
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(ACMNA191) L8.14: Factorise:
3x+9
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(ACMNA192) L8.15: Solve:
If x+2=2+x then x+y =
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(ACMNA192) L8.16: Solve:
7x−2x=
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(ACMNA192) L8.17: Read the following:
(ACMNA192) L8.17a: Create your own algebraic expression that involves division
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(ACMNA192) L8.18: Simplify:
2x−y+3x
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(ACMNA192) L8.19: Simplify:
2x−3(y−x)
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(ACMNA192) L8.20: Simplify:
7(z+6)−2(3z+4)
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(ACMNA192) L8.21: Simplify:
x(x−5)+x(x+y)
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