MrJacksonMaths Foundation Non Calculator Paper G

Name

For Edexcel

GCSE MathematicsPaper 1G (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 25 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

EF1G 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

LeaveBlank

Q1

Answer ALL TWENTY FIVE 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.Flapjack Recipe (makes 12 flapjacks)

You will need:

120g of butter100g of brown sugar60g of syrup250g of oats

Part of a recipe for making 12 flapjacks is shown.

(a) Work out the amount of butter needed to make 24 flapjacks.

……………………… g(1)

(b) Work out the amount of syrup needed to make 36 flapjacks.

……………………… g(1)

(c) Work out the amount of oats needed to make 18 flapjacks.

……………………… g(2)

(Total 4 marks)


LeaveBlank

Q2

Monday

Tuesday

Thursday

Wednesday

Friday

2. The incomplete pictogram shows the number of bicycle wheels a shop sold each day for five days.

Key: represents 4 wheels

(a) Write down the number of wheels the shop sold on

(i) Monday,…………………………

(ii) Wednesday.…………………………

(2)

The shop sold 10 wheels on Thursday.The shop sold a total of 61 wheels over these five days.

(b) Use this information to complete the pictogram.(3)

(Total 5 marks)


LeaveBlank

Q3

3. Here are four number cards.

(a) Use three of the cards to make this a correct calculation.

(1)

(b) Use three of the cards to make this a correct calculation.

(1)

(c) Use all four cards to make this a correct calculation.

(1)

(d) Make the largest possible odd number using all four cards.

(1)

(Total 4 marks)


0 763

× 5 =

÷ = 9

– = 34

LeaveBlank

Q4

Q5

4.

Square Parallelogram Kite

All sides are equal

Opposite sides are parallel

Diagonals intersect at right angles

Place a tick () in each box if the statement is always true for the shape.

(Total 3 marks)

5. (a) Write 27% as a decimal

…………………………(1)

(b) Write 3% as a fraction.

…………………………(1)

(c) Write 15 as a percentage.

…………………………(1)

(d) Shade 12.5% of this shape.

(1)

(Total 4 marks)


LeaveBlank

Q6

LeaveBlank

Q7

6. (a) Write the number thirteen thousand, six hundred and eighty in figures.

…………………………(1)

(b) Write the number 9412 in words.

………………………………………………………………………………………

………………………………………………………………………………………(1)

(c) Here is a list of numbers

8 10 15 18 21 25 28

From this list, write down

(i) a square number,

……………………

(ii) two multiples of 7,

…………… and ……………

(iii) a common factor of 45 and 75.

……………………(3)

(Total 5 marks)

7. Rebecca records how long it takes her to walk to school each day.Here are her results, in minutes.

18 14 14 17 15 18 16 17

(a) What is the range of the time it takes Rebecca to walk to school?

……………… minutes(1)

(b) What is the median time it takes Rebecca to walk to school?

……………… minutes(2)

(Total 3 marks)


LeaveBlank

Q8

Q9

8. Roy wins £600 in a competition.

He spends 23 of his winnings on a television.

He then gives 15 of what is left to charity.

How much money does Roy give to charity?

£ ………………………

(Total 3 marks)

9. (a) Here are the first four terms of a number sequence.

500 480 460 440

(i) Write down the next term of this sequence.

…………………

(ii) Find the 10th term of this sequence.

…………………(3)

(b) Here is another number sequence.

8 16 20

The rule for continuing this sequence is

Find the next two numbers in this sequence.

…………… , ……………(2)

(Total 5 marks)


DIVIDE BY 2, THEN ADD 12

LeaveBlank

Q10

8.6 cm

48°73°A

C

B

A B

10. Diagram NOTaccurately drawn

A sketch is shown of triangle ABC.

(a) (i) Find the size of angle ACB.

°…………………………

(ii) Give a reason for your answer.

…………………………………………………………………………………(2)

(b) Make an accurate drawing of triangle ABC.The line AB has been drawn for you.

(2)

(Total 4 marks)


LeaveBlank

Q11

11. Work out

(a) 234 + 567

…………………………(1)

(b) 605 – 295

…………………………(1)

(c) 126 ÷ 9

…………………………(1)

(d) 0.3 × 0.4

…………………………(1)

(e) 103 – 24

…………………………(2)

(Total 6 marks)


LeaveBlank

Q12

12 cm

12 cm

2 cm

2 cm


Mary has a square piece of paper of side length 12 cm.She cuts out a square of side length 2 cm leaving the shaded shape above .

(a) Find the perimeter of the shaded shape.

……………………… cm(2)

(b) Find the area of the shaded shape.

……………………… cm2

(2)

Mary cuts out another square of side length 2 cm.The remaining shape has rotational symmetry of order 2.

(c) Sketch the shape.

(1)

(Total 5 marks)


LeaveBlank

Q13

13. The cost, in pounds, of hiring a function room is worked out using this formula.

It costs £80 to hire the room for 2 hours.

Patrick says “That means it will cost £160 to hire the room for 4 hours”.

(a) Explain why Patrick is wrong.

………………………………………………………………………………………

………………………………………………………………………………………(1)

(b) Work out how much it costs to hire the room for 4 hours.

£ …………………………(2)

Tony paid £180 to hire the room.

(c) Work out how many hours Tony hired the room for.

…………………… hours(2)

(Total 5 marks)


Cost of room = 20 × Number of hours + 40

LeaveBlank

Q14

10 cm

4 cm


The diagram shows a right-angled triangle.

(a) Work out the area of the triangle.Give the units with your answer.

…………………………(3)

A square piece of paper has a side length of 20 cm.A tessellation of triangles congruent with the one above is drawn on the paper.

(b) Work out the largest number of triangles that can be drawn on the paper.

…………………………(2)

(Total 5 marks)


LeaveBlank

Q15

Pembroke

Cardiff

N

Q16

15. This is a map of part of Wales.

Scale: 1 cm represents 15 km

(a) Measure and write down the bearing of Pembroke from Cardiff.°

………………………… (1)

A furniture store in Pembroke will deliver to anywhere within 90 km of Pembroke.Another furniture store in Cardiff will deliver to anywhere within 60 km of Cardiff.

(b) On the diagram, shade the region where deliveries will be made by both stores.

(2)

(Total 3 marks)

16. George has £P in his wallet.Kazim has £4 more than George in his wallet.

(a) Write down an expression for the amount, in pounds, in Kazim's wallet.

…………………………(1)

Martin has twice as much as Kazim in his wallet.

(b) Write down an expression for the amount, in pounds, in Martin's wallet.

…………………………(1)

(Total 2 marks)


LeaveBlank

Q17

17. Nabeel wants to find out how often people send text messages.

He plans to ask 50 people who have mobile phones this question.

“How many text messages have you sent?”

(a) Write down two reasons why this is not a good question.

First reason …………………………………………………………………………

………………………………………………………………………………………

Second reason ………………………………………………………………………

………………………………………………………………………………………(2)

(b) Design a better question that Nabeel could use.You should include response boxes.

(2)

(Total 4 marks)


LeaveBlank

Q18

Q19

18. Solve 3(x – 2) = 5x + 8

x = ……………………

(Total 3 marks)

19. A library has 600 history books.

15% of these books are paperbacks.

(a) Work out 15% of 600.

………………………(2)

192 of the history books have been borrowed in the last six months.

(b) Work out 192 as a percentage of 600.

…………………… %(2)

(Total 4 marks)


LeaveBlank

Q20

Q21

20. Work out

34 × 5

6

Give your answer as a fraction in its simplest form.

……………………

(Total 2 marks)

21. (a) Simplify

(i) y × y × y……………………

(ii) r2 × r5

……………………

(iii) 4a + b + 2a – 2b

………………………(3)

(b) Work out the value of 5p + 2q when p = 3 and q = 4.5

……………………(2)

(Total 5 marks)


LeaveBlank

Q22

22. A group of people each choose one of three desserts.Some information about their choices is shown in this two-way table.

(a) Complete the table.(2)

A person from the group is picked at random.

(b) Find the probability that this person chose the cake.

……………………(1)

A female from the group is picked at random.

(c) Find the probability that she chose the ice cream.Give your answer as a fraction in its simplest form.

……………………(2)

(Total 5 marks)


Ice cream Fruit bowlCake

Female

Male 28

21 30 19

Total

64

Total

50 134

LeaveBlank

Q23

x

y

–1

7

9

8

1

2

4

3

5

6

A

1 2 43 5–2 –1 6 87 9O

23.

On the grid, enlarge shape A by a scale factor of 12

, centre the origin.

Label the image B.

(Total 3 marks)


LeaveBlank

Q24

24. Anne has a pack of cards which each have a picture of a shape.The shape on each card can be a triangle, a square, a pentagon or a hexagon.

Anne picks one of the cards at random.

The table shows the probability that her card has a picture of a square or a picture of a pentagon.

Shape Triangle Square Pentagon Hexagon

Probability 0.45 0.25

(a) Write down the probability that her card does not have a picture of a pentagon.

……………………(1)

There are 200 cards in the pack.

(b) How many of the cards have a picture of a square?

……………………(2)

The probability that her card has a picture of a triangle is the same as the probability that it has a picture of a hexagon.

(c) How many of the cards have a picture of a triangle?

……………………(2)

(Total 5 marks)


LeaveBlank

Q25

109°

32°

T

P

Q

R

S

141°


Sally says that the lines PQ and ST are parallel.

Is Sally correct?You must show working to justify your answer.

(Total 3 marks)

TOTAL FOR PAPER: 100 MARKS

END


MrJacksonMaths Foundation Non Calculator Paper G

Documents

Transcript of MrJacksonMaths Foundation Non Calculator Paper G