MrJacksonMaths Foundation Non Calculator Paper J

Name

For Edexcel

GCSE MathematicsPaper 1J (Non-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 26 questions in this paper.Calculators must not be used.

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

EF1J 09 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

LeaveBlank

Q1

A

C

E

B

D

F

Answer ALL TWENTY SIX 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.

The diagram shows the shape ABCDEF.

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

………………………………(1)

(b) Which side of the shape is parallel to the side BC?

………………………………(1)

(c) Mark with an X an acute angle on the diagram.(1)

(d) Measure the length of the side AB.

………………………… cm(1)

(Total 4 marks)


LeaveBlank

Q2

2. (a) Write the number six thousand, three hundred and fifty-nine in figures.

…………………………(1)

(b) Write the number 10 308 in words.

………………………………………………………………………………………

………………………………………………………………………………………(1)

(c) Write the number 60 274 correct to the nearest hundred.

…………………………(1)

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

(i) 710 801 771 799 819

………………………………………………………………………

(ii) 0.272 0.007 0.207 0.027

………………………………………………………………………(2)

(Total 5 marks)


LeaveBlank

Q3

3. (a) (i) Write 34 as a percentage.

………………… %

(ii) Write 8% as a decimal.

……………………

(iii) Write 0.6 as a fraction.

……………………(3)

(b) Write down the fraction of each shape that is shaded.

(i)

…………………………

(ii)

…………………………(2)

(Total 5 marks)


LeaveBlank

Q4

4.

On the grid, draw an enlargement of the shaded shape by a scale factor of 3.

(Total 2 marks)


LeaveBlank

Q5

0

Number of Teachers

2

4

6

8

10

12

14

16

Fifties NinetiesSeventies EightiesSixties

5. Charli asked some of her teachers which decade of music from the Fifties to the Nineties they liked the most.

This bar chart shows her results for three decades.

(a) How many teachers liked Sixties music the best?

…………………………(1)

10 teachers liked Eighties music the best.In total, Charli asked 45 teachers.

(b) Complete the bar chart.

(3)

Charli decides to also show her results with a pie chart.

(c) Work out the angle at the centre of the sector that represents the Fifties.

°……………………

(2)

(Total 6 marks)


LeaveBlank

Q6

Q7

6 Miriam is running a stand selling books at a jumble sale.At the start of the sale she has 60 hardback books and 300 paperback books.This sign shows the prices of the books.

Miriam sells 80% of the hardback books.

(a) Work out 80% of 60.

………………………(1)

Miriam also sells 50% of the paperback books.

(b) Work out the total amount of money that Miriam takes from her stall.

£ ……………………(3)

(Total 4 marks)

7. Work out

(a) 16.8 + 5.1

………………………(1)

(b) 813 – 295

………………………(1)

(c) 2739 ÷ 11

………………………(2)

(Total 4 marks)


Hardback books £1 each

Paperback books 50p each

LeaveBlank

Q8

68°

a80°

99°

37°b

8. Diagram NOTaccurately drawn

(a) (i) Work out the size of angle a.

°……………………

(ii) Give a reason for your answer.

…………………………………………………………………………………

…………………………………………………………………………………(2)

Diagram NOTaccurately drawn

(b) (i) Work out the size of angle b.

°……………………

(ii) Give a reason for your answer.

…………………………………………………………………………………

…………………………………………………………………………………(2)

(Total 4 marks)


LeaveBlank

Q9

Q10

9. Ms. Tate wants to buy a packet of crisps.

The probability that she will choose cheese flavoured crisps is 0.4

(a) Write down the probability that she will not choose cheese flavoured crisps.

……………………(1)

Mr. Wells has 40 hot drinks in a week.Each time he has a hot drink, the probability that he chooses to have coffee is 0.3

(b) Work out an estimate for the number of drinks of coffee Mr. Wells has each week.

……………………(2)

(Total 3 marks)

10. Each week Yaseen's class are given a short spelling test.Here are Yaseen's scores for nine weeks.

3 8 8 5 6 9 9 6 9

(a) Find the median of his scores.

……………………(2)

(b) Work out the mean of his scores.

……………………(3)

(Total 5 marks)


LeaveBlank

Q11

Q12

12 cm

5 cm

11. Work out

(a) 5 × 7 – 16

…………………………(1)

(b) 8 + 14 ÷ 2

…………………………(1)

(c) 200 × (36 – 29)

…………………………(1)

(Total 3 marks)


The diagram shows a right-angled triangle.

(a) Work out the area of the triangle.

………………………… cm2

(2)

The triangle is the cross-section of a prism of length 4 cm.

(b) Work out the volume of the prism.

………………………… cm3

(2)

(Total 4 marks)


LeaveBlank

Q13

0

5

15

10

20

Hours of sunshine1 2 43 5 6

Maximumtemperature

(°C)

0–5

13. The scatter graph shows the number of hours of sunshine and the maximum temperature for eight cities on the same day.

(a) Describe the relationship between the maximum temperature and the number of hours of sunshine.

………………………………………………………………………………………

………………………………………………………………………………………(1)

Another city had 3.5 hours of sunshine on the same day.

(b) Use the graph to estimate the maximum temperature in the city.

…………………… °C(2)

(Total 3 marks)


LeaveBlank

Q14

14.

The diagram shows a shape made up of centimetre squares.

(a) Find the area of the shape.Give the units with your answer.

………………………………(2)

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

(2)

(Total 4 marks)


LeaveBlank

Q15

Q16

5 cm

3 cm

15. (a) Expand 4(7y + 2)

…………………………(1)

(b) Expand and simplify x(x – 5) + 4(x – 1)

…………………………(2)

(Total 3 marks)


The diagram shows a rectangle.

(a) Work out the perimeter of this rectangle.

…………………… cm(1)

The rectangle is enlarged by a scale factor of 2.

(b) Work out the perimeter of the enlarged rectangle.

…………………… cm(2)

(Total 3 marks)


LeaveBlank

Q17

1 2 43 5–1

1

3

2

4

5

6

O x

y

7

6 7 8

17. (a) Complete this table of values for y = 6 – x

x 0 2 4 6 8

y

(2)

(b) On the grid, draw the graph of y = 6 – x

(2)

(Total 4 marks)


LeaveBlank

Q18

Q19

18. Here is a list of numbers.

7 12 20 27 32 34 40 49

From this list, write down

(a) a factor of 100

…………………………(1)

(b) a multiple of 17

…………………………(1)

(c) a square number

…………………………(1)

(Total 3 marks)

19. Janice has a dice with sides numbered from 1 to 6.Her dice is biased.

She rolls it 200 times and gets the following results.

Score 1 2 3 4 5 6

Frequency 31 29 51 24 45 20

(a) Estimate the probability of getting a 6 when the dice is rolled once.

………………………(1)

(b) Describe what Janice could do to get a better estimate of the probability of rolling a 6 when the dice is rolled once.

………………………………………………………………………………………(1)

(c) How many times should Janice expect to get a 4 if she rolls her dice 300 times?

………………………(2)

(Total 4 marks)


LeaveBlank

Q20

Q21

D

CB

A24°

20. On one day, 78 of the workers at an office arrive on time and 1

10 arrive late.

The rest of the workers are absent.

Calculate the fraction of workers who are absent.Give your answer as a fraction in its simplest form.

……………………

(Total 3 marks)


In the diagram, ABC is a straight line and AB = AD = BD.Angle BCD = 24°.

Find the size of angle BDC.

°……………………

(Total 3 marks)


LeaveBlank

Q22

Q23

22. Find the 10th term of each sequence.

(a) 1 5 9 13

…………………………(2)

(b) 18 16 14 12

…………………………(2)

(Total 4 marks)

23. (a) Solve 4x – 3 < 17

…………………………(2)

(b) Work out the value of 3a – 5b when a = 6 and b = –2.

…………………………(2)

(c) C = 30 – 2d

Find the value of d when C = 24.

d = ……………………(2)

(Total 6 marks)


LeaveBlank

Q24

Q25

24. The table shows some expressions.p, q, and r represent lengths.

p + q pr pqr p + qr p(q + r) pqr – r

Tick () the boxes underneath the two expressions which could represent areas.

(Total 2 marks)

25.

Kerry sees this sign in a shop.She buys 4 tops from the rail.

(a) How much change should Kerry get from £20.

£ ……………………(2)

One of the tops Kerry buys cost £5 before the sale.

(b) Work out the percentage by which the price of this top was reduced in the sale.

…………………… %(3)

(Total 5 marks)


S aleAll tops on this rail

£3.25

LeaveBlank

Q26

26. Input Output

n + 4 × 3 3(n + 4)

The diagram shows that if you are given a number, n, add 4 to it and multiply the result by 3, the number obtained is given by the expression 3(n + 4).

Write in expressions for the output in each of these diagrams.

(a) Input Output

n × 2 – 5

(2)

(b) Input Output

n + 1 ÷ 4

(2)

(Total 4 marks)

TOTAL FOR PAPER: 100 MARKS

END


Documents

MrJacksonMaths Foundation Non Calculator Paper J