GCSE Mathematics · Answer all the questions in the spaces provided in this question paper. ... GCSE Mathematics ... Fiona also buys 1 bag of nuts. (b)

NameFor Edexcel

GCSE MathematicsPaper 1D (Non-Calculator)

Foundation TierTime: 1 hour and 30 minutes

Materials requiredRuler, protractor, compasses,pen, pencil, eraser.Tracing paper may be used.

Instructions and Information for CandidatesWrite your name in the box at the top of the page.Answer all the questions in the spaces provided in this question paper.The marks for each question and for each part of a question are shown in brackets.The total number of marks for this paper is 100. There are 23 questions in this paper.Calculators must not be used.

Advice to CandidatesShow all stages in any calculation.Work steadily through the paper. Do not spend too long on one question.If you cannot answer a question, leave it and attempt the next one.Return at the end to those you have left out.

Written by Shaun ArmstrongOnly to be copied for use in the purchaser's school or college

EF1D Page 1 © Churchill Maths Limited

b

h

a

GCSE Mathematics

Formulae: Foundation Tier

Area of a trapezium = 12 (a + b)h

Volume of a prism = area of cross section × length


sectioncross

length

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Q1

Answer ALL TWENTY THREE questions.

Write your answers in the spaces provided.

You must write down all the stages in your working.

You must NOT use a calculator.

1. (a) Write the number 6271 in words.

………………………………………………………………………………………

………………………………………………………………………………………(1)

(b) Write the number 6271 correct to the nearest hundred.

…………………………(1)

(c) Write the number four thousand, one hundred and twenty-two in figures.

………………………………(1)

(d) Work out

(i) 160 – 77

…………………………

(ii) 211 + 479

…………………………(2)

(Total 5 marks)


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Q2

Anita

Carol

Ben

Don

Ellen

0Ben Carol Don Ellen

Number of Car Journeys

10

20

30

40

50

60

70

80

Anita

2. The pictogram shows the number of car journeys made by five people in one month.

Key: represents 20 car journeys

(a) (i) Write down the number of journeys made by Anita.……………………

(ii) Write down the number of journeys made by Don.……………………

(2)

Carol made 50 journeys in this month.Ellen made 40 journeys in this month.

(b) Complete the pictogram.(2)

(c) Complete this bar chart showing the information from your pictogram.

(2)(Total 6 marks)


Q3

Q4

20 30

10 40

80 100

60 120

0.3 0.40.2 0.5

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3. (a) Solve a + 9 = 21

a = ………………………(1)

(b) Solve 3b = 24

b = ………………………(1)

(c) –2 < n ≤ 3

n is an integer.

Write down all the possible values of n.

………………………………(2)

(Total 4 marks)

4. (a) Write down the number shown by the arrow.

……………………(1)

(b) Write down the number shown by the arrow.

……………………(1)

(c) Draw an arrow on this diagram to indicate the number 84.

(1)(Total 3 marks)


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Q5

5. Here is a list of ingredients for making 12 pancakes.

Work out how much of each ingredient is needed to make 18 pancakes.

…………………………. eggs

…………………… ml of milk

…………………… g of butter

………………. g of plain flour

(Total 3 marks)


Ingredients2 eggs

250 ml of milk

50 g of butter

110 g of plain flour

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Q6

O–4 –3 –1 1 2 3 x–6 –5 –2

–2

–1

1

2

3

4

y

5

A

C

B

6.

(a) The points A (–2, 0), B (–6, 1) and C (–5, 5) are plotted on the grid.

The quadrilateral ABCD is a square.

Write down the coordinates of the point D.

( …… , …… )(1)

(b) (i) Plot the points E (–1, –1), F (0, 1), G (2, 2) and H (3, –2) on the grid.

(ii) Write down the name of quadrilateral EFGH.

…………………………(3)

(Total 4 marks)


Q7

Q8

xy

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7. Diagram NOTaccurately drawn

The diagram shows a triangle.All three sides of the triangle are the same length.

(a) Write down the mathematical name of this triangle.

…………………………(1)

(b) Write down the size of angle x.°

………………… (1)

(c) Work out the size of angle y.

°…………………

(1)(Total 3 marks)

8. Work out

(a) 3 × 50…………………………

(1)

(b) 300 × 50…………………………

(1)

(c) 0.3 × 0.5

…………………………(1)

(d) 32 × 52

…………………………(2)

(Total 5 marks)


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Q9

9. A shop has this sign in its window.

A camera cost £80 before the sale.

(a) Work out the cost of this camera in the sale.

£ …………………………(2)

An MP3 player cost £60 before the sale.

(b) Work out the cost of this MP3 player in the sale.

£ …………………………(3)

(Total 5 marks)


SALE

20% off all Cameras

15% off all MP3 players

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Q10

10. Here is a list of numbers.

6 9 10 13 31 36 45 56

From this list, write down

(a) the two numbers with a difference of 21,

…………… and ……………(1)

(b) the two square numbers,

…………… and ……………(1)

(c) the two factors of 45,

…………… and ……………(2)

(d) the two prime numbers.

…………… and ……………(2)

(Total 6 marks)


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Q11

5 cm

3 cm2 cm

5 cm

4 cm6 cm

11. (a) Diagram NOTaccurately drawn

Work out the volume of this cuboid.

………………………… cm3

(2)

(b) Diagram NOTaccurately drawn

Work out the volume of this triangular prism.

………………………… cm3

(3)(Total 5 marks)


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Q12

12. (a) Draw a circle of radius 5 cm.

(1)

(b) Write down the length of the diameter of the circle.

…………………… cm(1)

(c) Use ruler and compasses to construct a regular hexagon of side length 5 cm, inscribed in the circle you have drawn.You must show all your construction lines.

(2)(Total 4 marks)


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Q13

A

B

C

13.

The diagram shows three shaded shapes on a grid of one centimetre squares.

(a) (i) Find the perimeter of shape A.

………………………… cm

(ii) Find the area of shape A.

………………………… cm2

(2)

(b) Find the area of triangle B.

………………………… cm2

(2)

(c) Find the area of triangle C.

………………………… cm2

(2)(Total 6 marks)


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Q14

14. (a) Deon is given these four number cards.

He has to use all four cards to make a number.

(i) Write down the largest number that he can make.

…………………………

(ii) Write down the smallest even number that he can make.

…………………………

(iii) Write down the largest number divisible by 5 that he can make.

…………………………(3)

(b) Martha is given these three number cards.

She turns the cards over so she cannot see the numbers and mixes them up.She then turns all three cards over in a row to make a number.

(i) What is the probability that the number she makes is odd?

…………………………

(ii) Explain your answer.

…………………………………………………………………………………

…………………………………………………………………………………(2)

(Total 5 marks)


1 754

2 63

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Q15

Q16

15. Work out 237 × 36

…………………………

(Total 3 marks)

16. R = 4x + 3y

x = 5y = 2

(a) Work out the value of R.

R = ……………………(2)

v = 2t 2 – 7

t = 3

(b) Work out the value of v.

v = ……………………(2)

(Total 4 marks)


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Q17

Number of pages

Time to read

(hours)

0

2

6

4

8

10

100 150 250200 300 350 400

17. Lisa records how long it takes her to read each book that she buys.

The scatter graph shows these times plotted against the number of pages in each book.

(a) Describe the correlation between the time it takes Lisa to read a book and the number of pages the book has.

…………………………(1)

(b) Draw a line of best fit on the diagram.(1)

Lisa buys a book with 260 pages.

(c) Use your line of best fit to estimate how long it will take Lisa to read it.

…………………… hours(1)

(Total 3 marks)


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Q18

Q19

18. Here is a number sequence with two numbers missing.

85, 79, …, 67, …, 55, 49

(a) Write down the two numbers missing from this sequence.

…………… and ……………(2)

Here are the first five terms of another number sequence.

5, 8, 11, 14, 17

(b) Write down an expression, in terms of n, for the nth term of this sequence.

…………………………(2)

(Total 4 marks)

19. Work out

(a) 3 34 + 1 1

4

…………………………(1)

(b) 1 12 × 6

…………………………(1)

(c) 6 13 – 2 2

3

…………………………(2)

(Total 4 marks)


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Q20

20. Dale makes his own pizzas.He always has a topping of ham, beef, chicken or pepperoni.The table shows the probability that he will have a ham, beef or chicken topping.

Topping Ham Beef Chicken Pepperoni

Probability 0.1 0.25 0.45

(a) Work out the probability that Dale has a pepperoni topping.

……………………(2)

In a year, Dale will make 60 pizzas.

(b) Work out an estimate for the number of times in a year that Dale will have a pizza with a beef topping.

………………………(2)

(Total 4 marks)


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Q21

21. A bag of fruit drops costs x pence.A bag of nuts costs (x + 7) pence.

Fiona buys 3 bags of fruit drops.

(a) Write down an expression, in terms of x, for the cost of 3 bags of fruit drops.

………………………… pence(1)

Fiona also buys 1 bag of nuts.

(b) Find and simplify an expression, in terms of x, for the total cost of 3 bags of fruit drops and 1 bag of nuts.

………………………… pence(1)

Fiona paid £1.07 in total for 3 bags of fruit drops and 1 bag of nuts.

(c) Find the value of x.

x = …………………………(2)

(Total 4 marks)


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Q22

22.

(a) Rotate triangle P 90° clockwise about O.Label this image R.

(2)

(b) Enlarge triangle P by scale factor 3, centre O.Label this image S.

(2)(Total 4 marks)


1 2 43 5 x

y

–2 –1 6 87 9

–3

–2

–1O

7

9

8

1

2

4

3

5

6

P

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Q23

23. (a) Factorise 6a – 9

…………………………(1)

(b) Simplify 3xy × 5x

…………………………(1)

(c) Expand and simplify r(r2 – 2) + 2r

…………………………(2)

(d) Expand and simplify (x + 1)(x + 3)

…………………………(2)

(Total 6 marks)

TOTAL FOR PAPER: 100 MARKS

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GCSE Mathematics · Answer all the questions in the spaces provided in this question paper. ... GCSE Mathematics ... Fiona also buys 1 bag of nuts. (b)