Maths Mate Term 4 Sheet 8 Problem Solving

Predict: I predict that this question is going to be about geometry.

Read: A square has a perimeter of 60cm. A rectangle has the shape of two of these squares placed side by side. What is the perimeter of the rectangle?

Clarifications: None

BIG Question: What is the perimeter of the rectangle

Solution: To find the length of each side, we have to divide 60 by 4 which equals 15. Now if we put to squares side by side, a long side of the recatngle would equal 30cm because we just have to plus 15 to 15. A short side of the rectangle would still equal 15. So 30 plus 15 equals 45. So if we double 45, we get our answer, 90cm.

Maths Mate Term 3 Sheet 8 Problem Solving

Predict: I predict that this question is going to be about working backwards to find a given value.

Read: I think of a number,multiply it by4 and the  divide by 3. If the result is 12, what was the original number?

Clarifications: None

BIG Question: What was the original number?

Solution: We have to work backwards in this problem. Firstly, we have to times 12 by 3 which equals 36. Then we divide by 4 to get our answer, 9.

Maths Mate Term 3 Sheet 7 Problem Solving

Predict: I predict that this question is going to be about working backwards to find a given value.

Read: I think of a number,multiply it by 3 and the  divide by 2. If the result is 18, what was the original number?

Clarifications: None

BIG Question: What was the original number?

Solution. We have to work backwards in this problem. Firstly, we have to times 18 by 2 which equals 36. Then we divide by 3 to get our answer, 12.

Maths Mate Term 3 Sheet 6 Problem Solving

Predict: I predict that this question is going to be about working backwards to find a given value.

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

Clarifications: None

BIG Question: What was the original number?

Solution. We have to work backwards in this problem. Firstly, we have to times 5 by 4 which equals 20. Then we subtract 15 to get our answer, 5.

Maths Mate Term 3 Sheet 6 Problem Solving

Predict: I predict that this question is going to be about working backwards to find a given value.

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

Clarifications: None

BIG Question: What was the original number?

Solution. We have to work backwards in this problem. Firstly, we have to times 5 by 4 which equals 20. Then we subtract 15 to get our answer, 5.

Maths Mate Term 3 Sheet 5 Problem Solving

Predict: I predict that this question is going to be about working backwards to find a given value.

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

Clarifications: None

BIG Question: What was the original number?

Solution. We have to work backwards in this problem. Firstly, we have to minus 12 so that the answer is 8. Then we times 8 by 2 to get our answer, 16. To be sure, you can check if it makes sense.

Maths Mate Term 3 Sheet 4 problem Solving

Predict: I predict that this question is going to be about adding up numbers to get to a certain value.

Read: Four consecutive numbers add up to 94. What are the four numbers?

Clarifications: None

BIG question: What are the four consecutive numbers?

Solution: Use trial and error to eventually find out the numbers are 22, 23, 24 and 25.

Maths Mate Term 3 Sheet 3

Predict: I predict that this sum is going to be about finding the values of a certain amount of values to get to a specific number.

Read: The sum of three whole consecutive numbers is 96. What are the three numbers?

Clarifications: None

BIG question: What are the three numbers?

Solution: The number we have to get to is 96 which is in the nineties. So we need three numbers that add up to ninety which is 30. Now that we have gotten to 90, we need three consecutive numbers adding up to six being 1,2 and 3. So we add the three sums to get our answer:

30 + 1 = 31

30 + 2 = 32

30 + 3 = 33

So those are our three consecutive numbers adding up to 96: 31, 32 and 33.

Maths Mate Term 3 Sheet 2 Problem Solving

Predict: I predict that this question is about finding the value of two numbers that add up to a certain value.

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?

Clarifications: None

BIG question: What are the numbers?

Solution: Our two consecutive numbers have to add up to a number in the three – hundreds. Two equal numbers that add up to 300 is 150. Now we need to work with our remaining 33. 33 is in the 30s. So two equal numbers that add up to 30 is 15. Now we need to work with our three. We need two consecutive numbers that add up to 3. Those numbers are 1 and two. Now we have to add two sets of numbers:

1st set – 150 + 15 + 1

2nd set – 150 + 15 + 2
If we  add these together, we end up with our two consecutive numbers, 166 and 167.

Maths Mate Term 3 Sheet 1 Problem Solving

Predict: I predict that this question will be about adding numbers to get a certain value.

Read: The sum of two consecutive whole numbers add up to 97. What are two numbers?

Clarifications: None

BIG Question: What are the two numbers?

Solution: 97 is the number we want to get to. It is in the nineties, so we need two equal numbers that add up to ninety. 45 +45 = 90. Now we need two consecutive numbers that add up to seven. 3 + 4 = 7. So we add three to one 45 and 4 to the other, so the two consecutive numbers that we end up with is 48 and 49, so that is your answer.