Maths Mate Term 3 Sheet 5 Q. 23

Predict: I predict this will be about finding the original number.

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

Clarify: I had nothing to clarify

Big question: What was the original number?

Tool: I used work backwards

Solve: First, I took away 12 because I was working backwards. That was 8. I would then multiply that by 2 and that gave me the answer of 16.

Maths Mate Term 3 Sheet 3 Q. 24

Predict: I predict this will be about finding the value of a certain number of beads altogether.

READ: Each bead has a value according to its color. The value of the first 3 strings are given. What is the value of the last string?

Clarify: I had nothing to clarify.

Big Question: What is the value of the last string?

Tool: Guess, check and improve.

Solve: I started by giving a value to each of the beads. I tried the dark one as 2, the lighter one as 5 and the white one as 6. I added the first string and it gave me 22, as given. Then 21 as given and 16 as given. I added the last string and it gave me 23.

Maths Mate Term 3 Sheet 2 Q. 23

Predict: I predict this is about solving a crossword, making sure each number fits into place.

Read: Fill in the crossword puzzle using the following numbers: 3 digits: 489, 789, 949 4 digits: 3726, 4790, 5768, 6728 5 digits: 54 842

Clarify: I had nothing to clarify.

BIG Question: How do you complete the crossword puzzle?

Mathematician’s Toolbox: Guess, check and improve.

Answer:

layla's maths

 

Solve: First I started by firguring out wher 54 842 went. I added 8 and 9 to the for after 5. Under the 9, I put 4 then 9. Beside that 9, 4 and 7 was before it and 0 was after it. Under the 7 was 8 and 9. Under the 4 was 2. before the 2, was 6 then 7. Above the six was 2 then 7 then 3. On one side of the 7 was five and the other side was 6. That is how I solved that problem.

Maths Mate Term 3 Sheet 1 Problem 22

Predict: I predict this problem will involve using our estimation skills

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

Clarify: I had nothing to clarify.

Mathematicians tool box: I used work backwards.

Big Question: Which two consecutive whole numbers are the sum of 97?

Solve: I first started by saying, what is half of 90? It was 45. I doubled that to give me 90 and then added 3 to one 45 and 4 to the other. It was 49 and 48. I added them together and it gave me 97.

Maths Mate Term 2 Sheet 8 Q. 23

Predict: I predict this is about trial and error.

Read: If you could roll the same number everytime, what number would you choose so that you could move from S to F in the least number of rolls?

Clarify: I had nothing to clarify.

Big Question: What number gets you from S to F in the least number of moves, having the same number each time?

Mathematician’s Toolbox: I used test all possibilities.

Solve: I first tried six but that kept on going in a loop. I kept on going doqn the numbers. I tried 2 it went to 2, 4(then up the ladder), 12(up the ladder again), 18 and then finally to F. It took 5 moves with the number 2.

Maths Mate Term 2 sheet 7 Q. 24

Predict: I predict this is about algebra.

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

Clarify: I had nothing to clarify.

BIG Question: What do the letters A, B and C stand for?

Tool: Try all possibilities

Solve: I firstly chose 3 numbers that equaled 7. I tried 5, 1 and 2 but that equaled 8. So I made the 5 a 4 and that equaled 7. If C was the highest, that would be 4. A would be 1 and B, 2. I put them like this:

It worked. So my answer is: A=1 B=2 C=4

 

 

Maths Mate Sheet 6 Q. 22

Predict: I predict this is about finding the differences between digits.

Read: A single digit number belongs in each circle, and it must equal the difference between the 2 numbers it sits on. What is the largest number that can go in the shaded circle?

Clarify: I didn’t need anything to clarify.

Big QUESTION: What is the largest number that can go in the shaded circle?

Tool: Try all possibilities.

Solve: I first found the difference between the first 2 digits on the bottom row.  The digits were both 3. The difference between the 3s was 0 so the last circle, I tried 2. The difference between 1 and 2 is one and the difference between 3 and 1 is 2. So the difference between 0 and 2 is 2. So I decided to stick with that because it worked.

Maths Mate Sheet 5 Question 23

Predict: I predict it is about addition and dividing.

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

Clarify: I had nothing to clarify.

Big Question: How many litres would you need to travel from Kogan to Tingura?

Tool: Write an equation.

Solve: To solve this problem, I started by adding the distances together. 64+122=186+154=340+60=400. I then had to divide it by 100 because it uses 9 litres per 100km. That equalled 4 so I multiplied that by nine and that equalled 36. So my answer was 36.

Maths Mate Term 2 Sheet 3 Question 24

Predict: I predict this question is about filling in the rest of the table using what’s there.

READ: Complete the multiplication table.

Clarify: There was nothing I needed clarifying.

BIG Question: What numbers complete the table?

Mathematician’s Toolbox: I used have I seen a similar problem?

Solve: I figured out 8×6=48 then I figured out 2×1=2 and 4×3=12 and then filled out the rest of the table. The top row was: 8, 4, 2, the second row: 3, 24, 12, 6, the third row: 6, 48, 24, 12 and the last row: 1,8,4,2.

Problem Pictures – Hair dryer

Predict: I predict this is about how many holes there are in the hair dryer.

Read: Here is the link to the question: http://problempictures.co.uk/examples/op08.htm

BIG Question: What is the pattern of the holes?

hair dryer

 

Mathematician’s  toolbox: Try all possibilities

Solve. If the question says it has 9 holes and then 12 holes, the next circle will have 15 holes so the answer is going up by 3.

Answer: The answer is that it is going up by 3.