# Maths Mate Term 3 Sheet 6 Problem 23

PREDICT:

I predict that this problem will be about using the 4 operations.

READ:

I think of a number add 15 and then divide by 4. If the result is 5, what was the original number?

CLARIFY:

I had nothing to clarify in this question.

MY TOOL:

The tool I used to work this problem out was ‘Work Backwards’.

THE BIG QUESTION:

I think of a number add 15 and then divide by 4. If the result is 5, what was the original number?

SUMMARY:

All I had to do with this problem was work backwards by using the inverse operations. See, I multiplied 5 by 4 and then subtracted 15 to get 5. And (5+15) = 5

4

MY ANSWER:

My answer was 5.

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Maths Mate Term 3 Sheet 6 Problem 23

# Maths Mate Term 3 Sheet 5 Problem 23

PREDICT:

I predict that this problem is going to be about BODMAS.

READ:

I think of a number, divide it by 2 and then add 12. If the result is 20, what was the original number?

CLARIFY:

I had nothing to clarify in this question.

MY TOOL:

The tool I used to  work this problem out was ‘Write a Sum or Number Sentence’.

THE BIG QUESTION:

I divide a number by 2 and then add 12. If the result is 20, what was the original number?

SUMMARY:

First I subtracted 12 off 20, then I had 8 left. After that I doubled 8 which gave me 16, and 16 divided by 2 =8. Then I added 12 to 8 and gave me 20. I also learnt that all you have to do is work backwards by making the operations the opposites to themselves.

MY ANSWER:

My answer was 16.

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Maths Mate Term 3 Sheet 5 Problem 23

# Maths Mate Term 3 Sheet 4 Problem 22

PREDICT:

I predict that this problem is going to be about addition and estimation.

READ:

The sum of four consecutive whole numbers is 94. What are the four numbers?

?, ?, ? and ?

CLARIFY:

There was nothing I needed to clarify in this question.

MY TOOL:

The tool I used to work out this problem was ‘Have I Seen A Similar Problem?’.

THE BIG QUESTION:

What are the four numbers that add up to 94?

SUMMARY:

I found this problem pretty easy and did not need any help with working it out. If you want to check out my thinking on a similar problem visit this post here.

MY ANSWER:

My answer was 22, 23, 24 and 25.

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Maths Mate Term 3 Sheet 4 Problem 22

# Maths Mate Term 3 Sheet 3 Problem 22

PREDICT:

I predict this question is going to be about counting, addition and estimation.

READ:

The sum of three consecutive numbers is 96. What are the 3 numbers?

?, ? and ?

CLARIFY:

I had nothing to clarify in this question.

MY TOOL:

The tool I used to work out this problem was ‘Have I Seen A Similar Problem?’.

THE BIG QUESTION:

What are the 3 consecutive numbers that add together to form 96.

SUMMARY:

In this problem I used the tool ‘Have I Seen A Similar Problem?’ because I have used an efficient and successful strategy with a similar problem and used that again in this problem. This is why I believe I am right.

MY ANSWER:

31, 32 and 33

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# Maths Mate Term 3 Sheet 2 Problem 22

PREDICT:

I predict that this problem is going to be about estimation.

READ:

Carl looked at the page numbers on the open book in front of him. The left and right page numbers added to 333. What were the numbers?

? and ?

CLARIFY:

I had nothing to clarify in this problem.

MY TOOL/S:

The tools I used to work out this problem were ‘Have I Seen A Similar Problem?’ and ‘Guess, Check and Improve’.

THE BIG QUESTION:

What are the two consecutive numbers that add up to 333?

SUMMARY:

I found this problem quite easy and used ‘Have I Seen A Similar Problem?’ as my tool because I have seen other problems like this and have used a strategy that was successful and efficient. Go check out my other post which explains my thinking Here.

MY ANSWER:

166 and 167.

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Maths Mate Term 3 Sheet 2 Problem 22

# Maths Mate Term 3 Sheet 1 Problem 22

PREDICT:

I predict that this problem is going to involve estimation.

READ:

The sum of two consecutive whole numbers is 97. What are the two numbers?

CLARIFY:

I had nothing to clarify in this problem.

MY TOOL:

The tool I used to work this problem out was ‘Guess, Check and Improve’.

THE BIG QUESTION:

What are the two consecutive numbers that add up to 97?

SUMMARY:

This problem was very simple and I did not have any trouble with working it out. I used estimation to estimate how much each number would have to be worth to reach 97. But before that I gathered the information that I already knew which was that 45 + 45 = 90. Then I just added 3 on to one of the numbers and 4 on to the other so I had 48 and 49.

MY ANSWER:

48+49=97

Maths Mate Term 3 Sheet 1 Problem 22

# Pie Graph-Favourite Sports Brands

In class we have been exploring different graphs in maths. In groups of three we have now been asked to create a pie graph with a percentage and tally. Our survey was on favourite sports brands.

1.

 Percent and Tally
 Adidas IIIII 20% Nike IIIII    IIIII    IIIII 60% Asics IIIII 20%

2.

Degrees and Percentage working out

 Adidas Nike Asics Total 5/25 x 360°= 5/25 x 360/1= 1800/25= 72° 15/25 x 360°= 5/25 x 360/1= 5400/25= 216° 5/25 x 360°= 5/25 x 360/1= 1800/25= 72° 360° 5/25= 20/100= 20% 15/25= 60/100= 60% 5/25= 20/100= 20% 100 %

3.

# Maths Mate Term 2 Sheet 8 Problem 24

PREDICT:
I predict that this problem will be about substituting numbers for letters.

READ:

Each letter represents a different digit from 0-9. If E=5, what number does SPEED stand for?

SPEED

+    SPEED

KILLS

SPEED=?

CLARIFY:

There was nothing that I needed to clarify in this question.

MY TOOL:

The tool I used to work out this problem  was ‘Write a Sum or Number Sentence’.

THE BIG QUESTION:

With the information provided, what does SPEED mean?

SUMMARY:

This question was pretty easy for me because I already knew a strategy of how to work it out. I also used the information that the problem provided me and made sure that E=5.

MY ANSWER:

My answer was:

SPEED=23554

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Maths Mate Term 2 Sheet 8 Problem 24

# Maths Mate Term 2 Sheet 7 Problem 24

PREDICT:

I predict that this problem will be about addition and substituting numbers for letters.

READ:
The letter’s A, B and C stand for different digits from 1 to 9. If A<B<C, what digit does each letter represent?

ABC

BCA

+CAB

777

A=? B=? C=?

CLARIFY:

There was nothing that I needed to clarify in this question.

MY TOOL:

The tool I used to work out this problem was ‘Have I Seen A Similar Problem?’

THE BIG QUESTION:

What digit does each letter represent in the equation using the information provided?

SUMMARY:

I found this problem quite simple because I have seen it before and have developed a successful strategy to work it out.

MY ANSWER:

My answer was:

A=1      B=2     C=4

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Maths Mate Term 2 Sheet 7 Problem 24

# Maths Mate Term 2 Sheet 6 Problem 24

PREDICT:

I predict that this problem is going to be about substituting numbers for letters.

READ:

Each letter represents a different digit from 1-9. If R=8 what number does FOUR stand for?

T W O

+ T W O

F O U R

FOUR=?

CLARIFY:

I had nothing to clarify in this question.

MY TOOL:

The tool I used to work out this problem was ‘Have I Seen A Similar Problem?’.

THE BIG QUESTION:

What does FOUR stand for?

SUMMARY:

This question was very similar to last week’s #24 question so I found it quite easy. Although it took me a while to work with all of the numbers, I eventually finished the job.

MY ANSWER:

My answer was:

FOUR=1468

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Maths Mate Term 2 Sheet 6 Problem 24