mrjacksonmaths foundation calculator paper g

Name

For Edexcel

GCSE MathematicsPaper 2G (Calculator)

Foundation TierTime: 1 hour and 30 minutes

Materials required

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

Instructions and Information for Candidates

Write 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 27 questions in this paper.Calculators may be used.If your calculator does not have a π button, take the value of π to be 3.142 unless thequestion instructs otherwise.

Advice to Candidates

Show 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 Armstrong

Only to be copied for use in the purchaser's school or college

EF2G 09 © 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 SEVEN questions.

Write your answers in the spaces provided.

You must write down all the stages in your working.

1. Here are some of the prices in a jewellery sale.

Jewellery Sale

Chains £1.99 each or 4 for £6.49

Pendants £7.50 each or 2 for £12

Earrings £3.49 per pair

Complete this bill.

Item Quantity Cost (£)

Chains 2

Pendants 2

Earrings 3 pairs

TOTAL

(Total 4 marks)


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Q2

2.

On the grid, draw an enlargement of the shaded shape by a scale factor of 2.

(Total 2 marks)


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Q3

Q4

3. (a) Write the number 12 155

(i) correct to the nearest ten,…………………………

(ii) correct to the nearest thousand.…………………………

(2)

(b) Write each group of numbers in order of size.Start with the smallest number.

(i) 29 31 92 50

…………………………………………………………………

(ii) 0.11 0.091 0.09 0.019 0.099

…………………………………………………………………(3)

(Total 5 marks)

4. Jill is putting her CDs into boxes.

Jill owns 197 CDs.Each box holds 24 CDs.

(a) How many boxes does she need?

…………………………(2)

(b) How many more CDs can she buy before she will need another box?

…………………………(2)

(Total 4 marks)


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Q5

Q6

5. Callum has a bag with his pens in.

The bag contains 4 blue pens, 3 black pens and 1 red pen.Callum picks a pen at random from the bag.

Work out the probability that the pen he picks is

(a) red,

………………………(1)

(b) black,

………………………(1)

(c) red or black,

………………………(1)

(d) green.

………………………(1)

(Total 4 marks)

6. A racing car is 4.2 metres long. Diagram NOTaccurately drawn

A model is made of the car using a scale of 1 : 30

Work out the length, in centimetres, of the model.

……………………… cm

(Total 2 marks)


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Q7

Front

7. The diagram shows a 3-D shape.

(a) Sketch the front elevation of the shape from the direction shown.

(2)

(b) Sketch the plan of the shape.

(2)

(Total 4 marks)


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Q8

12 month contract

8. The table gives information about how 60 people pay for their mobile phone calls.

Payment method Frequency

12 month contract 20

18 month contract 15

Pay as you go 18

Other 7

Complete this accurate pie chart to show this information.

(Total 3 marks)


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Q9

9.

The sign shows the cost of admission to Thrill Park.

(a) A family of 2 adults and 2 children visit the park.

They pay with a £20 note.How much change do they get?

£ ………………………(2)

(b) A group of 3 adults and 12 children visit the park.

How much do they save by paying for admission as a group rather than as individuals?

£ ………………………(3)

(Total 5 marks)


Th rill ParkADMISSION:

Adults: £5.00

Children: £3.80

Group: £3.20 per person

(minimum 8 people)

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Q10

F

A

E

D

CB

41°

x°

10. (a)

There are six angles labelled A to F on the diagram.

Complete each of these statements.

(i) Angle ……… is an acute angle.

(ii) Angle ……… is a right angle.

(iii) Angle ……… is a reflex angle.(3)

(b) Diagram NOTaccurately drawn

Find the value of x.

x = ……………………(2)

(Total 5 marks)


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Q11

Months since release

Price(£)

0

4

12

8

16

20

0 10 3020 40 50 60

11. The scatter graph shows information about the price, in pounds, of eight DVDs and how long, in months, it is since they were first released.

(a) How many of the DVDs cost less than £8?……………………

(1)

(b) Describe the correlation between the time since release and the price of a DVD.

…………………………(1)

The DVD Beyond the Ridge was released 20 months ago.

(c) Use the graph to estimate how much it will cost.

£……………………(2)

(Total 4 marks)


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Q13

Q12

12. Here are some patterns made from sticks.

Pattern number 1 Pattern number 2 Pattern number 3 Pattern number 4

(a) Complete the table showing the number of sticks used to make each pattern.

Pattern number 1 2 3 4

Number of sticks 7

(1)

(b) Write down the number of sticks in pattern number 5.

…………………………(1)

(Total 2 marks)

13. (a) Solve 4m ≥ 24

…………………………(1)

(b) Solve 2w – 1 = 9

w = ……………………(2)

(Total 3 marks)


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Q14

–3

1

2

3

4

y

–2

–1

–4

O 1 2 43 5 6–5 x–2–4 –3 –1

P Q

R

14.

The points P, Q and R are shown on a centimetre square grid.

(a) Write down the coordinates of the point P.( …… , …… )

(1)

PQRS is a parallelogram.

(b) Find the coordinates of the point S.( …… , …… )

(1)

(c) Find the area of parallelogram PQRS.

…………………… cm2

(2)

(Total 4 marks)


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Q15

Q16

18 cm 16 cm

15. Diagram NOTaccurately drawn

A box is in the shape of a cuboid.

The base of the box measures 18 cm by 16 cm.The volume of the box is 1440 cm3.

Find the height of the box.

…………………… cm

(Total 3 marks)

16. (a) Write the ratio 20 : 5 in its simplest form.

…………………………(1)

(b) Three teachers had 60 appointments between them at a parents' evening.

The number of appointments they each had were in the ratio 5 : 3 : 2Dave had the most appointments.

Work out how many appointments Dave had.

……………………(3)

(Total 4 marks)


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Q17

17. A basketball team played 20 games during one season.

Here are the number of points they scored in each game.

52 76 69 81 69 70 84 66 65 75

62 62 71 59 66 75 68 80 64 73

(a) Draw an ordered stem and leaf diagram to show these scores.You should include a key.

(3)

(b) Find the median of the number of points the team scored.

………………………(2)

(Total 5 marks)


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Q18

Q19

32°

8 cm

65°

81°

32°

8 cm

18. (a) Write these distances in order of size, starting with the smallest.

4 km 3 miles 2500 m 1 mile

…………………………………………………………………(2)

(b) A car travels at 60 km/h for 2 hours 30 minutes.

How far does the car travel?

……………………… km(2)

(Total 4 marks)


The diagram shows two triangles.

(a) State whether or not the triangles are congruent.

………………………………………………………(1)

(b) Explain your answer.

………………………………………………………………………………………

………………………………………………………………………………………(1)

(Total 2 marks)


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Q20

Q21

20. (a) Simplify 7r – r

…………………………(1)

(b) Simplify 2x × x

…………………………(1)

(c) Multiply out a(a + 2)

…………………………(1)

(d) Factorise 3m – 9

…………………………(1)

(Total 4 marks)

21. (a) Find the value of 53.29

………………………(1)

(b) Work out 7.8 9.2

1.92

Give your answer correct to 1 decimal place.

………………………(2)

(Total 3 marks)


34

56

78

12

910

3132

1314

1516

1718

1112

1920

2324

2526

2728

2122

2930

3334

3536

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22. The diagram shows part of a triangular grid containing numbers.

Hannah moves the shaded triangle around within the grid.She records the number at the top of the shaded triangle and adds together the four numbers in the shaded triangle.

Here is a table showing some of her results.

Top number 1 3 5 7

Sum of numbers 37 45 53

(a) Work out the sum of the numbers in the triangle when the top number is 7.

………………………(1)

Hannah works out that when the top number is n the sum of the numbers is 4n + 33.

(b) Show that Hannah's formula works when n = 13.You must show all your working.

(2)


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Q23

Q22

(c) Work out the top number when the sum of the numbers in the triangle is 205.

………………………(2)

(Total 5 marks)

23. (a) (i) The sum of two prime numbers is 12

Write down the two numbers.

……… and ………

(ii) The product of two prime numbers is 38

Write down the two numbers.

……… and ………(2)

(b) Daria says

“The difference between two consecutive prime numbers is never more than 4”

Write down an example to show that Daria is not correct.

(2)

(Total 4 marks)


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Q24

1 2 43 5–1

1

3

2

4

5

6

–1 O x

y

7

6 7

line A

line B

line C

24.

Lines A, B and C are shown on the grid.

Write down the gradient of

(a) line A,

……………………(1)

(b) line B,

……………………(1)

(c) line C.

……………………(1)

(Total 3 marks)


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Q25

Q26

17 cm31 cm

A

C

B

25. The equation r3 + 2r2 = 60 has a solution between 3 and 4.

Use a trial and improvement method to find this solution.Give your answer correct to 1 decimal place.You must show all your working.

r = ……………………

(Total 4 marks)


Work out the length AB.Give your answer correct to an appropriate degree of accuracy.

……………………… cm

(Total 4 marks)


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Q27

27. The table gives information on the distance travelled to work by the employees of a company.

Distance (d km) Frequency

0 < d ≤ 5 27

5 < d ≤ 10 19

10 < d ≤ 20 11

20 < d ≤ 30 6

30 < d ≤ 50 5

Work out an estimate for the mean distance travelled to work by these employees.

……………………… km

(Total 4 marks)

TOTAL FOR PAPER: 100 MARKS

END


mrjacksonmaths foundation calculator paper g

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