MrJacksonMaths Foundation Calculator Paper H

Name

For Edexcel

GCSE MathematicsPaper 2H (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 25 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

EF2H 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 FIVE questions.

Write your answers in the spaces provided.

You must write down all the stages in your working.

1. Here is part of a train timetable.

Station Time

York 13 30 14 10 14 50 15 40

Leeds 13 55 14 38 15 15 16 05

Dewsbury 14 08 14 50 15 28 16 19

Huddersfield 14 17 15 00 15 37 16 29

Manchester 14 50 15 34 16 10 17 03

(a) How long does the 13 30 from York take to get to Manchester?

…………………………………………(1)

(b) How long does the 15 28 from Dewsbury take to get to Huddersfield?

…………………………………………(1)

Grant is at home in Leeds and wants to get to Manchester before 4 pm.It will take him 20 minutes to get to Leeds station.He wants to arrive at the station at least 5 minutes before the train is due to leave.

(c) What is the latest time at which he can leave his house?

……………………(2)

(Total 4 marks)


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Q2

2. Here are the names of some shapes.

Right-angled triangle Rhombus Hexagon

Square Scalene triangle Parallelogram

Isosceles triangle Pentagon Trapezium

From these names, choose the correct one for each shape drawn below.

(a)

…………………………………………(1)

(b)

…………………………………………(1)

(c)

…………………………………………(1)

(d)

…………………………………………(1)

(Total 4 marks)


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Q3

3. Packets of crisps cost 45p each.Clive has £2 to spend.

(a) How many packets of crisps can he buy?

……………………(1)

Roger buys a sandwich for £1.89 and a drink for 85p.He pays with a £10 note.

(b) How much change does he get?

£ ………………………(2)

Elsa pays £6.57 for three hot dogs.

(c) How much does one hot dog cost?

£ ………………………(2)

(Total 5 marks)


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Q4

mirror line

4. (a)

Reflect the shaded triangle in the mirror line.(2)

(b)

Write down the order of rotational symmetry of the pattern above.

…………………………(1)

(c)

Draw in one plane of symmetry for this cuboid.(2)

(Total 5 marks)


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Q5

2 4 86 10

5

10

20

15

25

pounds

kilograms

O

5.

The diagram shows a conversion graph between kilograms and pounds.

Using the graph, change

(a) 10 kilograms to pounds,…………………… pounds

(1)

(b) 3.4 kilograms to pounds,…………………… pounds

(1)

(c) 20 pounds to kilograms,………………………… kg

(1)

(d) 100 pounds to kilograms.

…………………………kg(1)

(Total 4 marks)


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Q6

Monday

Wednesday

Tuesday

Thursday

Friday

6. The pictogram shows the number of cats staying at a cattery each night for five nights.

Key: represents 2 cats

(a) How many cats stayed at the cattery on

(i) Monday,……………………

(ii) Tuesday.……………………

(2)

During these five nights, 7 cats stayed for 2 nights.No cats stayed for more than 2 nights.

(b) Work out how many cats stayed for 1 night.

……………………(3)

(Total 5 marks)


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Q7

Q8

7.Town Temperature (°C)

Aberdeen –6

Brighton 1

Carlisle –4

Derby –2

Exeter 3

The table gives the temperature, in °C, of five towns at midnight.

(a) In which town is the temperature the lowest?…………………………

(1)

(b) In which town is the temperature 3°C lower than the temperature in Brighton?

…………………………(1)

(c) Work out the difference in temperature between Carlisle and Exeter.

………………………… °C(1)

(Total 3 marks)

8. Here is a list of numbers.

8 11 12 13 18 21 25

From this list, write down

(a) a factor of 60,

…………………………(1)

(b) a multiple of 5,

…………………………(1)

(c) a common factor of 26 and 39.

…………………………(1)

(Total 3 marks)


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Q9

Post

Fax

Phone

Email

9. This pie chart shows how orders for a textbook are made during one week.

(a) What fraction of the orders are made by Post.

…………………………(1)

(b) Measure the angle for Fax.°

…………………………(1)

In the week shown, 25 orders are made by Fax.

(c) Work out how many orders are made in total in the week.

…………………………(3)

(Total 5 marks)


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Q10

DCA B

10. Here is a shape.

(a) Which of these shapes is congruent to the shape above?

…………………………(1)

(b) On the grid, show how the shaded shape tessellates.You should draw at least 6 shapes.

(2)

(Total 3 marks)


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Q11

1st dice 2nd dice

Blue

Blue

Green

Orange

11. A fair dice has 6 sides.1 of the sides is blue, 2 of the sides are red and 3 of the sides are yellow.

(a) The dice is rolled once.

Write down the probability that the side it lands on is

(i) blue,

……………………

(ii) yellow,

……………………

(iii) purple.

……………………(3)

A second dice has 3 green sides and 3 orange sides.

(b) Both dice are rolled.

Complete the table below to show all the possible outcomes.Two are done for you.

(2)

(Total 5 marks)


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Q12

x

12. Diagram NOTaccurately drawn

The diagram shows the net of a square based pyramid.

The net is made up of a square of side x cm and four equilateral triangles of side x cm.

(a) Find an expression for the perimeter of the net.

………………………… cm(1)

The area of the net is given by the expression x2(1 + 3 ) cm2.

(b) Find the area of the net when x = 3.6Give your answer correct to an appropriate degree of accuracy.

………………………… cm2

(3)

(Total 4 marks)


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Q13

Q14

13.

A can of Cola weighs 365 grams.

A cardboard tray weighs 85 grams.

(a) Work out the total weight of a cardboard tray with 6 cans of Cola.

………………………… g(2)

A shop pays £2.70 for a tray of 6 cans of Cola.The shop sells each can for 79p.

(b) Work out the profit the shop makes on each can of Cola.

………………………… p(2)

(Total 4 marks)

14. Jenny buys 350 g of pick 'n' mix sweets for £2.17

Jill buys 500 g of pick 'n' mix sweets from the same shop.

Work out how much Jill pays for her sweets.

£ …………………………

(Total 3 marks)


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Q15

15. Omar is using an elastic band to make quadrilaterals on a pin-board.The pin-board has 9 pins on a centimetre square grid.

Here is a trapezium Omar made with an area of 1 12

cm2.

(a) Show one way in which Omar can make a rectangle with an area of 2 cm2.

(1)

(b) Show one way in which Omar can make a trapezium with an area of 3 cm2.

(1)

(c) Show one way in which Omar can make a kite with an area of 2 cm2.

(1)

(Total 3 marks)


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Q16

20

Distance (km)0 10 3020 40 50

Averagespeed(km/h)

22

26

24

28

30

16. Mark records the distance he travels and his average speed each time he goes cycling.

The scatter graph shows information about 8 of his rides.

The table gives information for 2 more of Mark's rides.

Distance (km) 24 39

Average speed (km/h) 26.8 23.4

(a) On the scatter graph, plot the information from the table.(1)

(b) What type of correlation does this scatter graph show?

…………………………(1)

On another cycle ride, Mark's average speed is 25.6 km/h.

(c) Use the graph to estimate the distance Mark cycled.

…………………… km(2)

(Total 4 marks)


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Q17

116°

40°

p

A

C

B

D

q


AB and CD are parallel lines.

(a) (i) Write down the size of the angle marked p.°

……………………

(ii) Give a reason for your answer.

…………………………………………………………………………………(2)

(b) Find the size of the angle marked q.

°……………………

(2)

(Total 4 marks)


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Q18

18. (a) Here are some patterns made with crosses.

pattern number 1 pattern number 2 pattern number 3

(i) Draw pattern number 4.

(ii) Work out the number of crosses in pattern number 5.

……………………

(iii) Explain how you worked out your answer to part (ii).

…………………………………………………………………………………

…………………………………………………………………………………(3)

(b) Another sequence has patterns made with dots.

The number of dots in pattern number n is 2n + 5.Work out the number of dots in

(i) pattern number 3,

…………………………

(ii) pattern number 30.

…………………………(2)

(Total 5 marks)


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Q19

Q20

19. (a) Simplify y + y + y + y

…………………………(1)

(b) Expand and simplify 3(q + 2) + 2(q – 1)

…………………………(2)

(c) Simplify x5

x2

…………………………(1)

(Total 4 marks)

20. Solve each equation

(a)x3

= 7

x = ……………………(1)

(b) 2y – 5 = 13

y = ……………………(2)

(c) 4(z + 3) = 3(2z + 3)

z = ……………………(3)

(Total 6 marks)


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Q21

4 cm

3 cm5 cm

5 cm

21. Here is a sketch of a prism. Diagram NOTaccurately drawn

Draw an accurate net of the prism on the centimetre square grid below.The shaded face of the prism has been drawn for you.

(Total 3 marks)


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Q22

0 10 20 4030 50 60 70 80

2

4

6

8

90

Distancefromhome(km)

Time in minutes

22. Rob went out for a run.This travel graph shows part of his journey.

(a) Find Rob's average speed during the first 30 minutes of his journey.Give your answer in kilometres per hour.

……………………… km/h(2)

After running for 30 minutes, Rob stopped and rested for 10 minutes.He then jogged home at a speed of 8 km/h.

(b) Complete the travel graph.

(3)

(Total 5 marks)


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Q23

Q24

23. Mattie invests £2000 in a savings account.The account pays 5.5% interest each year.

Calculate the amount of interest she earns in the first year.

£ ……………………

(Total 2 marks)

24. (a) Solve the inequality

5x + 12 > 2

…………………………(2)

(b) Represent your answer to part (a) on the number line below.

–4 –3 –2 –1 0 1 2 3 4 x

(1)

(Total 3 marks)


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Q25

12 cm28 cm


The end of a solid cylinder is a circle with a diameter of 12 cm.

The cylinder is 28 cm long.

Work out the volume of the cylinder.State the units of your answer.

…………………………………

(Total 4 marks)

TOTAL FOR PAPER: 100 MARKS

END


MrJacksonMaths Foundation Calculator Paper H

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