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

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.

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 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.

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 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.

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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.

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

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.

FOUR=1468 Maths Mate Term 2 Sheet 6 Problem 24

Maths Mate Term 2 Sheet 5 Problem 23

PREDICT:

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

Bobby’s car uses 9 litres of fuel per 100km. How many litres of fuel are required to travel from Kogan to Tingura?

Kogan-64km-Canaga-122km-Durong South-154km-Wondai-60km-Tingura

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:

How many litres of fuel are required to travel from Kogan to Tingura using the information provided?

SUMMARY:

This question was quite easy for me but it took quite a while to work out because of the amount of numbers there are in the diagram and their value.

You need 36 litres of fuel to travel from Kogan to Tingura. Maths Mate Term 2 Sheet 5 Problem 23

Maths Mate Term 2 Sheet 4 Problem 22

PREDICT:

I predict that this problem will be about addition.

Five ballpoint pens cost as much as two fountain pens. How much are six fountain pens if one ballpoint pen costs \$1.00?

CLARIFY:

I had nothing to clarify in this question.

MY TOOL:

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

THE BIG QUESTION:

How much are six fountain pens if one ballpoint pen costs \$1.00 using the information provided?

SUMMARY:

This problem was pretty easy because I have seen similar problems before and used the same procedure in this one. 