# Maths Mate Term 3 Sheet 6 Problem 23

PREDICT:

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

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

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.

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.

Click on the link below to hear me read this out loud!

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.

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 was 22, 23, 24 and 25.

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.

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.

31, 32 and 33

# Maths Mate Term 3 Sheet 2 Problem 22

PREDICT:

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

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.

166 and 167.

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.

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.

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.

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.

SPEED=23554

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.

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.

A=1      B=2     C=4

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.

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.