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Foundation Questions for paper 3 

 Date:

        Time:   Total marks available:   Total marks achieved: ______                                          

Q1. 

ABDE is a rectangle. ED is 8cm.

BDC is a right-angled triangle. BC is 4.5cm.

ABC is a straight line.

The area of the rectangle ABDE is 40cm2. Work out the area of the triangle BDC.

...........................................................cm2

 (Total for question = 3 marks)

 Q2. The diagram shows a trapezium.

AD = x cm. BC is the same length as AD. AB is twice the length of AD. DC is 4 cm longer than AB.

The perimeter of the trapezium is 38 cm.

Work out the length of AD.

........................................................... cm

(Total for Question is 4 marks)

Q3.

The diagram shows a semicircle drawn inside a rectangle.

The semicircle has a diameter of 8 cm. The rectangle is 8 cm by 4 cm.

Work out the area of the shaded region. Give your answer correct to 3 significant figures.

. . . . . . . . . . . . . . . . . . . . . . . . cm2

(Total for Question is 4 marks)

Q4.Here is a cuboid.

Work out the volume of the cuboid.

      ..............................................................................................................................................(Total for Question is 3 marks)

Q5. James has some square paving stones and some rectangular paving stones.

He uses four square paving stones and six rectangular paving stones to make this pattern in the shape of a rectangle.

Each rectangular paving stone is 60 cm by 30 cm.

(a)  Work out the length of one side of a square paving stone.

........................................................... cm

(2)Sally is going to make a path with rectangular paving stones. Each paving stone is 60 cm by 30 cm.

The path will be 720 cm long and 120 cm wide.

(b)  Work out how many paving stones Sally needs to make the path.

...........................................................

(3) 

(Total for question = 5 marks) 

Q6. 

Work out 70% of £90

£ ...........................................................

(Total for question is 2 marks)

Q7. 

Jay is paid £2000 each month.

He saves 6% of the £2000 each month.

How many months will it take Jay to save £480?

........................................................... months

  (Total for question = 3 marks)

Q8. 

Bhavin buys a car in a sale.

Before the sale, the cost of the car was £6720 In the sale, the cost of every car is reduced by 20%.

Bhavin pays a deposit of £1500 He will pay the rest of the cost in 24 equal monthly payments.

Work out the amount of each monthly payment. You must show all your working.

£ ...........................................................

(Total for question = 5 marks)

 Q9. Noah buys coffee sachets to use in his coffee maker.

There are 16 coffee sachets in a pack.

A pack costs £3.99

Noah uses 5 coffee sachets each day.

Work out the minimum amount that Noah spends on coffee sachets in one year.

(Total for question = 4 marks)

Q10. 

Mr and Mrs Sharma are going to France.

They each have £300 which they want to change into euros. They see this deal in a bank.

Mr and Mrs Sharma want the best deal.

They put their money together before changing it into euros.

How much extra money do they get by putting their money together before they change it?

(Total for question = 3 marks)

Q11. 

People can buy three types of plane tickets.

They can buy

an Economy ticket a Premium ticket or a Business ticket

200 people buy plane tickets.

92 males buy tickets 30 of the males buy Business tickets 62 females buy Economy tickets

A total of 44 people buy Business tickets. A total of 60 people buy Premium tickets.

How many males buy Premium tickets? You must show all your working.

...........................................................

(Total for question = 4 marks)

Q12.

Jamal plays 15 games of ten-pin bowling.

Here are his scores.

  72 59 75 66 79

  75 66 63 89 76   65 79 77 71 83

(a) Draw an ordered stem and leaf diagram to show Jamal's scores.

(3) 

Gill plays 15 games of ten-pin bowling.

The table gives some information about her scores.

Highest score 95

Lowest score 75 Mean score 80

*(b) Compare the distribution of Jamal's scores and the distribution of Gill's scores.

(5)(Total for Question is 8 marks)

Q13. The table shows some information about the foot lengths of 40 adults.

(a)  Write down the modal class interval.

...........................................................

(1)

(b)  Calculate an estimate for the mean foot length.

........................................................... cm

(3)

(Total for question = 4 marks)

Q14. 

(a)  Complete the table of values for     y = x2 − 2

(2)

(b)  On the grid, draw the graph of y = x2 − 2 for values of x from −3 to 3

(2) 

(Total for question = 4 marks)

Q15.

On the grid, draw the graph of y = 3x – 2 for values of x from –1 to 3

(Total for Question is 3 marks)

Q16. 

Line L is drawn on the grid below.

Find an equation for the straight line L. Give your answer in the form y = mx + c

...........................................................

(Total for question is 3 marks)

Q17.

(a)  n is an integer.

–1 ≤ n < 4List the possible values of n.

      ..............................................................................................................................................(2)

(b)

Write down the inequality shown in the diagram.      ..............................................................................................................................................

(2)(c) Solve      3y – 2 > 5

      ..............................................................................................................................................(2)

(Total for Question is 6 marks)

Q18. 

Draw a Venn diagram for this information.

(Total for question is 4 marks)

Q19. 

The table shows information about the heights of 50 trees.

Draw a frequency polygon for the information in the table.

(Total for question = 2 marks)

Q20. 

The diagram shows a regular octagon and a regular hexagon.

Find the size of the angle marked xYou must show all your working.

x =........................................................... º

(Total for question = 3 marks)