Maths Mate Term 4 Sheet 4 Question 24

Predict: I predict that this question will be about addition and money.

Read: How much is one book according to the diagram?

Book x2 + Paint pallet = $ 45

Book x4 + Paint pallet = $85

Clarify: I had nothing to clarify in this question.

Mathematician’s toolbox: The strategy I used from the mathematician’s toolbox was to test all possibilities.

Big question: The big question is how much does one book cost.

Solve: Firstly, I started at the first diagram. Two books plus one paint pallet is $45. I tried making them $15 each, but then 5 groups of 15 was more than 85. Then I tried making the books $20 and the paint pallet $5. This worked for $45, and it also worked on $85. So the answer was $20.

Summary: This problem was quite easy to solve, but I’m still surprised that a paint pallet was $5. It must have been bad quality.

Maths Mate Term 4 Sheet 3 Question 22

Predict: I predict that this question will be about multiplication.

Read: Fill in the missing number. 8 x [?] = 56

Clarify: I had nothing to clarify in this question.

Mathematician’s Toolbox: The strategy I used was prior knowledge.

Big question: The big question is what times 8 is 56.

Solve: Firstly, I though, and because I have some trouble with the times tables near 50. I had some thinking time at the start. Then I realised that I had know it before, I just had to clarify. 8 x 7 = 56, so that is the answer.

Summary: This problem wad easy to solve if you had memorised your times tables.

Maths Mate Term 3 Sheet 5 Question 22

Predict: I predict that this question will be about the four operations.

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

Clarify: I had nothing to clarify in this question.

Mathematician’s Toolbox: The strategy I used from the mathematician’s toolbox was to work backwards.

Big question: The big question is what was the original number?

Solve: Firstly, I used inverse operations and worked backwards. First, I subtracted 12 from 20, and that was 8. Then it said that it was divided by 2, so I multiplied 8 by 2. That was 16, now I had to clarify. 16 divided by 2 is 8, add 12 is 20. The answer is 16.

Summary: To solve this problem, you would have to work backwards or test all possibilities. Working backwards was faster.

MAths MAte term 3 sheet 2 question 21

Predict: I predict that this question will be about addition.

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

Clarify: I had nothing to clarify in this question.

Mathematician’s Toolbox: The strategy I used from the mathematician’s toolbox was to test all possibilities.

Big question: The big question is what are the three numbers.

Solve: Firstly, I knew that 30 x 3 was 90, so then I knew that all I had to do was find three consecutive numbers added together to equal six and add one to each 30. 1, 2 and 3 equalled 6, so I added them to 30. The answer I got was 31, 32 and 33.

Summary: This problem was easy to solve if you knew addition.

 

Maths Mate Term 3Sheet 1 Question 22

Predict: I predict that this question will be about addition.

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

Clarify: I had nothing to clarify in this question.

Mathematician’s Toolbox: The strategy I used from the mathematician’s toolbox was to work backwards.

Big question: The big question is what two consecutive numbers equal 97?

Solve: Firstly, I divided 90 by 2, which was 45. Then I knew that 4 and 3 was 7, and they were consecutive, so I added them onto 45 and 45 so that the two numbers were now 48 and 49, and when added together they were 97. So the answer is 48 and 49.

Summary: This problem was quite easy to solve if you knew what the word consecutive meant.

Maths Mate Term 2 Week 2 Q 23

Predict: I predict that this question will be about  addition.

Read: Fill in the missing digits in the sum.

MM223

 

Clarify: I had nothing to clarify in this question.

Mathematician’s Toolbox: The strategy I used from the mathematician’s toolbox was to draw a diagram.

Solve: Firstly, I added 6 and 8, and that equalled 14, so I put down the 4 and carried to 1 to the tens column. Since the number in the answer of that column’s addition was zero, I had to have a single digit number in the missing box and I had carried 1. In that box I put 2, because 7+2+1=10, so then I carried the 1. Then I had to add 4, 1 and something else to equal 8, and that was 3, so I put 3 in the missing number box and it looked like this:

MM2232

 

Summary: This problem was easy to solve, but hard to explain. That’s the thing with most problems.

Maths Mate Term 2 Week 4 Q 22

Predict: I predict that this problem will be about addition and currency.

Read: Five ballpoint pens cost as much as two fountain pens. How much are 6 fountain pens if one ballpoint pen costs $1.

Clarify: I had nothing to clarify in this question.

Mathematician’s Toolbox: The strategy I used from the mathematician’s toolbox was to work backwards.

Big question: The big question is how much do 6 fountain pens cost.

Solve: Firstly, after reading the question I knew that each ballpoint pen cost $1 each, and 5 of them cost as much as 2 ballpoint pens, so a ballpoint pen cost $2.50. Next, I needed to work out 6 x $2.50, and that was $15, so that means that 6 fountain pens cost $15.

Summary: This problem was easy to work out if you read the question slowly and then worked backwards.

Maths Mate Term 2 week 6 Question 24

Predict: I predict that this question will be about addition and symbols.

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

2+2=4

 

Clarify: I had nothing to clarify in this question.

Mathematician’s toolbox: The strategy I used from the mathematician’s toolbox was to test all possibilities.

Big question: The big question is what does FOUR stand for.

Solve: Firstly, because R = 8, then I knew that O had to equal 4, so I made O into 4. Then, I tried making the W 3, and then the U would equal 6, so then I tried making the T 7, but I was running out of numbers, even thought my sum was working. Then, 7 and 7 was 14, and there was a O there that I had made a 4 before, and then F was 1, so the answer was FOUR = 1468.

2+2=4

Summary: This problem was like another one, and they are getting easier to solve.

Maths Mate term 2 sheet 7 Q 24 2014

Predict: I predict that this question will be about addition and patterns.

Read: The letters A, B and C stand for different digits from 1-9. If A < B < C, what digit does each letter represent?

A B C                                                                                                                                                B C A                                                                                                                                            + C A B                                                                                                                                                7 7 7

Clarify: I had nothing to clarify in this question.

Mathematician’s Toolbox: The strategy I used from the mathematician’s toolbox was to test all possibilities.

Big Question: The big question is what does each letter stand for.

Solve: Firstly, I knew that  C was bigger than B and B was bigger than A. I started out with thinking of numbers that equalled 7 when added. I thought that C could equal 4, and then B could be 2 and A could be one. That equalled 7, so I worked out the answer. C=4, B=2 and A=1.

Summary: This problem was simple to solve, and it only really had one way to work it out.

Maths Mate Term 2 sheet 5 Q 22

Read: A single digit number sits in each circle, and it must equal the difference between the two numbers it sits on. What number belongs in the shaded circle?

 

Clarify: I had nothing to clarify in this question.

Mathematician’s toolbox: The strategy I used from the mathematician’s toolbox was test all possibilities

Big question: The big question is what is the number in the shaded circle.

Solve: Firstly, I found the difference between the 1 and 9 on the bottom row. It was 8, so I put that in. Then 9 and 9 was 0, so I put that in. 8 and 0 was 8, and then I worked out that because of the 5 at the top, 3 must be the number next to the 8. Then I worked out that the difference between 0 and something was 3, and that number was 3, and then the difference between 9 and something was 3, and that number is 6, and 6 is in the shaded circle. The answer is 6.

 

Summary: This question was one where you had to work backwards.