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Q1. The number of people going to a cinema increased from 52 000 in 1988 to 71 500 in 1992.

Calculate the percentage increase in the number of people from 1988 to 1992.

2 marks

Q2. Place these numbers in order of size, starting with the smallest.

0.19 0.9 0.091 0.109

smallest largest

1 mark

Place these fractions in order of size, starting with the smallest.

smallest largest

1 mark

Q3.

12 500 people visited the museum in 1995.

This is an increase of a quarter on 1994.

How many visitors were there in 1994?

2 marks

Q4. Write a fraction which is greater than 0.7 and less than 0.71.

1 mark

Write a decimal which is greater than and less than .

1 mark

Q5. Linda buys a pair of trainers.

She says,

‘I bought this pair of trainers when there was 20% off the normal price.I paid £18 for them.’

What was the normal price of the trainers?

2 marks

Q6. This pie chart shows the different ways that wood is used in the world.

Use the pie chart to estimate the percentage of wood that is used for paper.

%

1 mark

54% of the wood is used for fuel.

Calculate the angle for the fuel sector on the pie chart.

Do not use an angle measurer.

You must show how you worked out your answer.

2 marks

Q7. Here is a sign in a photo shop.

Show that the increase in area is more than 85%.

2 marks

Q8. = 0.454545 ...Find a fraction that is equal in value to

0.0454545 ...

1 mark

Q9. Two of the ingredients of chocolate are cocoa and sugar.

In milk chocolate,

20% of the mass is cocoa, 55% is sugar.

A bar of milk chocolate contains 50 grams of cocoa.

How many grams of sugar does it contain?

2 marks

Q10. The diagram shows a shaded triangle inside a larger triangle.

The area of the shaded triangle is 52 cm2.

The area of the shaded triangle is of the area of the larger triangle.

Calculate the area of the larger triangle.

2 marks

##

Write two fractions, each greater than 0 and less than 1,

which have a difference of

1 mark

Q12.

This pie chart shows the lunch choices of year 6 children at a school.

28 children in year 6 have a school meal.

How many go home for lunch?

2 marks

Q13. What fraction is exactly half-way between and ?

1 mark

Q14. Chloe and Denise each bought identical T-shirts from the same shop.

Chloe bought hers on Monday when there was 15% off the original price.

Denise bought hers on Friday when there was 20% off the original price.

Chloe paid 35p more then Denise.

What was the original price of the T-shirt?

2 marks

Q15.

The population of the world is approximately 6200 million people.

It is increasing by approximately 93 million people each year.

Use this information to calculate the percentage increase in the population over a year.

2 marks

Mike says,

‘An increase of 93 million people each year is more than 170 people each minute’.

Show that he is correct.

2 marks

Q16. Lili and Julian each start with the same number.

Lili works out half of the number.

Julian works out three-quarters of the number.

The sum of their answers is 275

What was the number they started with?

2 marks

Q17.

In Class 6, 80% of the children like crisps.

75% of the children who like crisps also like chocolate.

In Class 6, what percentage of the children like both crisps and chocolate?

2 marks

Q18. 150 people take part in a walk.

This chart shows the number of people still walking at different times.

Use the chart to estimate the time when two-thirds of the people are still on the walk.

1 mark

What percentage of the people who started are still on the walk at 3pm?

2 marks

Q19. This square is divided into three parts.

Part A is of the area of the square.

Part B is of the area of the square.

What fraction of the area of the square is part C?

2 marks

Q20. Here are three questions and answers about bananas.

How much of the money each person pays for bananas in one year goes to the growers?

2 marks

Q21. Write the missing numbers.

_________ = 0.11601 mark

160

_________ = 0.2 1 mark

Q22.The photograph shows a crop circle that was made in Mexico.

People flattened crops to make a pattern inside a circle.

The photograph has been provided courtesy of Greenpeace

Some people are planning to make a crop circle.

Here is what they plan to do:

• They will make a circle of radius 30 m.

• They will flatten about 60% of the area of the circle.

• Together, they can flatten 450 m2 in one hour.

About how many hours do the people plan to spend making the crop circle?

You will need to use this formula:

The area of a circle is 3.142 × (radius)2

3 marks

Q23. The diagram shows part of a number line.

Two of the fractions are not complete.

Write the missing numerator in each box

2 marks

Q24. Is greater than ?

Circle Yes or No.

Yes / No

Show how you know.

1 mark

Is half of ?

Cirle Yes or No.

Yes / No

Show how you know.

1 mark

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