Maths Mate Term 4 Sheet 8 Question 23

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

Predict: I thought this question would be about the four operations.

Clarify: I had nothing to clarify.

Find the big picture: What is the perimeter of the rectangle?

Solve:

First I worked out that 60 divided by 4 is 15, so the squares have 15cm edges.

Then I worked out that when they are both together, two sides won’t be part of the perimeter.

So 15+15+15+15+15+15 is 90, so the perimeter of the rectangle is 90 cm.

Summary: I used my prior knowledge.

Maths Mate Term 4 Sheet 7 Question 22

Which deal costs less per litre?

A) $32 for 4 L

B) $8.50 for 1 L

Predict: I thought this question would be about division or multiplication.

Clarify: I had nothing to clarify.

Find the big picture: What deal is cheaper per litre?

Solve:

First I worked what 8.50 x 4 was, because it was only 1 litre, and the other deal was 4 litres, and 8.50 x 4 was $33.50 for 4 L.

So A is $32 per 4 litres, and B is $33.50 per 4 litres. So A is the answer, because it is $1.50 less than B per 4 litres.

Summary: I used the work backwards method.

 

Maths Mater Term 4 Sheet 6 Question 24

Question: Fill in the missing digits in the multiplication.

Maths Mate Term 4 Sheet 6 Empty

Predict: I thought this problem would be about multiplication.

Clarify: I had nothing to clarify.

Find the big picture: What are the missing numbers?

Solve:

First I worked out that 3×6 is 18 so I put the 8 down and carried the 1.

Then I worked out that 3x? had to be 12 because plus the 1 would be 13, and that was 3×4, so I put down the 4 and carried the 1,

Finally I worked out that 3×2 is 6, plus the 1 is 7, so I put the 7 in the last box.

Maths Mate Term 4 Sheet 6 Solved

Summary: I used the guess, check and improve method.

Maths Mate Term 4 Sheet 5 Question 22

Question: Which deal costs less per gram?

A)     $5 for 500g

B)      $3 for 250g

Predict: I thought this question would be about addition.

Clarify: I had nothing to clarify.

Find the big picture: What deal is better?

Solve:

First I worked out that $5 for 500g was $1 per gram.

Then I worked out that 250g+250g was 500g, but 3+3 is 6, so B would be $6 for 500g, while A is $5 for 500g.

So A is the answer because it cost less than B.

Summary: I used my prior knowledge.

Maths Mate Term 4 Sheet 4 Question 23

Question: Fill in the magic square (Hint: Every row, column and diagonal has the same sum.)

Maths Mate Term 4 Sheet 4 empty

Predict: I thought this would be about addition

Clarify: I had nothing to clarify.

Find the big picture: What goes in the magic square?

Solve:

First I worked out that 16+15+14 was 45, so everything had to add up to 45.

Next I worked out that 12+16+17 was 45, so I put the 17 next to the 16.

Then I worked out 12+15+18 was 45, so I put the 18 diagonally below the 15.

Next I worked out that 17+18+10 was 45, so I put the 10 below the 17.

Next I worked out that 10+15+20 was 45, so I put 20 next to the 15.

Finally I worked out that 12+20+13 was 45, so I put the 13 below the 20.

Maths Mate Term 4 Sheet 4 Solved

Summary: I used the guess, check and improve method.

Maths Mate Term 4 Sheet 3 Question 22

Question: Fill in the missing number.

8x_=56

Predict: I thought this question would be about multiplication.

Clarify: I had nothing to clarify.

Find the big picture: What is the missing number?

Solve:

First I worked out what  8 can be multiplied by to get to 56, so I went through my 8 times tables.

Then I worked out it was 7, so 7 is the missing number.

8×7=56

Summary: I used my prior knowledge.

 

Maths Mate Term 4 Sheet 2 Question 23

Question: Fill in the magic square (Hint: Every row, column and diagonal has the same sum.)

Maths Mate Term 4 Sheet 2 empty

Predict: I thought this would be about addition.

Clarify: I had nothing to clarify.

Find the big picture: What are the missing numbers?

Solve:

Firstly I worked out that 8+6+4 was 18, so everything needed to add up to 18.

Then I worked out that 6+7+5 was 18 so I put five above 6 and 7.

Next I worked out that 5+4+9 was 18 so I put the 9 next to the 5.

Then I worked out that 9+8+1 is 18 so I put the 1 in between the 8 and 9.

Next I worked out that 8+7+3 was 18 so I put the 3 next to the 7.

Finally I worked out that 4+3+11 is 18 so I put the 11 in between the 4 and 3.

Maths Mate Term 4 Sheet 2 done

 

Summary: I used my prior knowledge.

Maths Mate Term 4 Sheet 1 Question 22

Question: Fill in the missing number.

12 x _ = 36

Predict: I thought this question would be about multiplication.

Clarify: I had nothing to clarify.

Find the big picture: What is the missing number.

Solve:

First I worked out what 12 needs to be multiplied by to get to 36.

Next, I worked out that that was 3.

So 12 x 3 =36, and that means that 3 is the missing number.

Summary: I used my prior knowledge.

Maths Mate Term 3 Sheet 8 Question 22

Question: Fill in the missing digits in the sum.

Maths Mate Term 3 Sheet 8 Empty

Predict: I thought this would be about addition.

Clarify: I had nothing to clarify.

Find the big picture: What are the missing numbers?

Solve:

First I worked out that 7+6 is 13, and 13+2 is 15, so I put a 2 in the box and carried the one.

Next I worked out that 1+3+1 is 5, and 5+4 is 9, so I put the 4 in the next box.

Maths Mate Term 3 Sheet 8 Solved (New)

Summary: I used my prior knowledge.

Maths Mate Term 3 Sheet 7 Question 23

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

Predict: I thought this question would be about multiplication and division.

Clarify: I had nothing to clarify.

Find the big picture: What is the original number?

Solve:

First I figured out that i would have to work backwards and use inverse operations.

Next I worked out what 18×2 was and that was 36.

Lastly, I divided 36 by three and that was 12, so 12 is the answer.

Summary: I used the work backwards method.