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Problem Solving - Answers

[ Question Paper ]

Levels 3 - 5

Sam and Daniel have 20 sweets each.

number1 Sam eats of his sweets. How many does he eat?

_______________5___________________

 

number2 Daniel eats 10 of his sweets. What fraction of his sweets does he eat?

__________________________________

 

number3 How many sweets are left altogether?

________________25__________________

 

Levels 4 - 6

Here are Tom's marks for four tests.

4     6     3     7

The mean is 5

number4 Tom has another test and the mean of the five tests is still 5. What mark does he get?

__________5____________

 

number5 On his 6th test, Tom's mean score goes up by 1. What does he score on his 6th test?

____________11_____________

 

Levels 5 - 7

number6 Joan has some pins in a box. She doesn't want to count them all so she calls the number she has p.

She puts 4 more in the box.

Write an expression for the total number of pins she has now.

______________ p + 4____________________

 

number7 Joan starts again with the same box containing p pins. This time she uses 10 pins.

Write an expression for the total number of pins she has now.

______________p - 10 ____________________

 

number8 Dawn has 2 boxes of pins. In one box there are 2p - 5 pins. In the other box there are 2(p - 5) pins.

Is there the same number in each box?

Explain your answer.

___No - one box has 2p - 5 pins, the other has 2p - 10____


 

Levels 6 - 8

number9 A local farm has two water tanks.

The first tank measures x by y by z and takes 2 hours 30 minutes to fill.

How long does it take to fill a tank measuring 3x by 3y by 3z, at the same rate?

_________67 hours 30 minutes__________

 

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Last modified on: Tuesday, June 9, 1998.