Mathematical Thinking Quiz

THIS IS A QUIZ - IT IS NOT A TEST

It is to help you find and understand correct answers - not to mark you down for incorrect answers!

Please think before answering each question, then skip any you don't understand.

On completing the quiz, you will receive an email (If you have supplied a valid email address),

that will help find a solution and more information about each question.

When you have completed the quiz, please return to the wiki at:

Mathematical Thinking: https://flipster.tv/doku.php?id=2018:mathematics:introduction:home

If you have any questions leave a comment, ask classmates or a teacher.

Have fun :)

Email address *

P1.1 *

Your first name

Your answer

P1.2 *

Your last name

Your answer

P1.3 *

Your school name

Belrose PS

Other:

P1.4 *

Which of the following describes you best:

Student

Parent

Teacher

Other:

P1.5 *

Which year or class / year group?

Choose

Kindergarten

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Secondary

Tertiary

None of above

How do/did you feel about the way you ar/were taught maths as a student at school?

Q1.1 *

As a student, how ENJOYABLE is/was the maths you are/were taught at school? (1=boring 5 =fabulous),

Boring

1

2

3

4

5

Fabulous

Q1.2 *

On a scale of 1 (lousy) to 5 (awesome), how GOOD do you think YOU ARE at Maths?

Lousy

1

2

3

4

5

Awesome

Q1.3 *

Students who are ALREADY GOOD AT MATHS WILL DO BEST in this maths project?

Disagree

1

2

3

4

5

Agree

Q1.4 *

Students who are ALREADY POOR AT MATHS WILL DO POORLY in this maths project too:

Disagree

1

2

3

4

5

Agree

Q1.5 *

Students who already think MATHS IS BORING WILL BE JUST AS BORED with this maths project too:

Disagree

1

2

3

4

5

Agree

Q1.6 *

What type of student(s) would benefit most/least from this Mathematical Thinking project :

Your answer

Q2.1 *

Stephen has two pairs of jeans (1 Red and 1 Blue) and two shirts (1 Yellow and 1 White). How many different outfits can he wear if he can only wear one shirt and one pair of pants each day?

1 outfit

2 outfits

3 outfits

4 outfits

5 outfits

6 outfits

the question doesn't make sense

Other:

Q2.2 *

Convince others that you have found all possible outfits by explaining how you found your answer.

Your answer

Q2.3 *

How confident are you on a scale of 1 to 5 that your answer is correct (1=confused and 5=certain)

Confused

1

2

3

4

5

Certain

Q3.1 *

There are 3 students in a race. Fast students are given time penalties after each race so that they finish later races in a different position. How many times must the race be run so that each student finishes first, second and third in a race?

Choose

3 races

4 races

5 races

6 races

7 races

8 races

9 races

10 races

11 races

12 races

13 races

14 races

15 races

16 races

17 races

18 races

19 races

20 races

More than 20

The question doesn't make sense

Not enough information

Q3.2 *

How confident are you on a scale of 1 to 5 that your answer is correct (1=confused and 5=certain)

Confused

1

2

3

4

5

Certain

Q3.3 *

Try to convince others that you have found the number of races by explaining how you found your answer.

Your answer

Heads (H) & Tails (T) when flipping a $1 coin 4 times

Q4.1

When flipped, an Australian $1 coin shoul land Heads (H) half the time and Tails (T) half the time. If you flip this coin 4 times, which of the runs (sequences) of Heads 'H' and Tails 'T' (shown below) do you think is most likely?

H H H H

H H H T

H H T T

H T H T

T H T H

They are all equally likely

The question doesn't make sense

Not enough information

Q4.2 *

How confident are you on a scale of 1 to 5 that your answer is correct (1=confused and 5=certain)

Confused

1

2

3

4

5

Certain

Q4.3 *

Try to convince others by explaining how you found your answer.

Your answer

CHALLENGE:

Find the smallest number of moves it takes to move all of the disks from TOWER 1 to TOWER 3.

Find the smallest number of moves it takes to move all of the disks from TOWER 1 to TOWER 3.

RULES:

1. You may only move one disk at a time.

2. You may place a disk onto an empty tower.

3. You may place a smaller disk on top of a larger disk.

4. You can NOT place a bigger disk on top of a smaller disk.

Follow the rules and move 2 disks from Tower 1 to Tower 3

Q4.4

Following the rules, how many moves would it take to move the 2 disks from TOWER 1 to TOWER 3 (see Figure 4.4)

2

3

4

5

6

7

8

9

Moves:

CHALLENGE:

Find the smallest number of moves it takes to move all of the disks from TOWER 1 to TOWER 3.

Find the smallest number of moves it takes to move all of the disks from TOWER 1 to TOWER 3.

RULES:

1. You may only move one disk at a time.

2. You may place a disk onto an empty tower.

3. You may place a smaller disk on top of a larger disk.

4. You can NOT place a bigger disk on top of a smaller disk.

Follow the rules and move 3 disks from Tower 1 to Tower 3

Q4.5

Following the rules, how many moves would it take to move the 3 disks from TOWER 1 to TOWER 3 (see Figure 4.5)

3

4

5

6

7

8

9

10

Moves:

Q4.6 *

How confident are you on a scale of 1 to 5 that your answer is correct (1=confused and 5=certain)

Confused

1

2

3

4

5

Certain

Q4.7 *

Tick each correct statement below:

I think multiplying ALWAYS makes a number bigger

If you multiply any number by zero the product (the answer) is ALWAYS zero

Multiplying by a fraction ALWAYS makes a smaller number

Multiplying by a negative number ALWAYS makes a smaller number

This question does not make sense

All of these statements are wrong

Required

Q5.1

Do you think these same activities are suitable and could hold the interest of students from stage 1 through university?

NO

YES

Other:

Q5.2

Where do you think you have learned most about the answers to questions in this quiz:

Parents

Friends

Teachers

Books

Internet

Other:

Q6.0

Have you changed your mind or learned anything new whilst completing this quiz ('What I used to think versus what I think now').

Your answer

Q6.1

This is the last question in the quiz. Do you have any comments about how this quiz could be improved?

Your answer