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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 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
EF1G 09 Page 2 © Churchill Maths Limited
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.
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)
EF1G 09 Page 3 © Churchill Maths Limited
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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)
EF1G 09 Page 4 © Churchill Maths Limited
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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)
EF1G 09 Page 5 © Churchill Maths Limited
0 763
× 5 =
÷ = 9
– = 34
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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)
EF1G 09 Page 6 © Churchill Maths Limited
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Q6
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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)
EF1G 09 Page 7 © Churchill Maths Limited
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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)
EF1G 09 Page 8 © Churchill Maths Limited
DIVIDE BY 2, THEN ADD 12
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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)
EF1G 09 Page 9 © Churchill Maths Limited
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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)
EF1G 09 Page 10 © Churchill Maths Limited
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Q12
12 cm
12 cm
2 cm
2 cm
12. Diagram NOTaccurately drawn
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)
EF1G 09 Page 11 © Churchill Maths Limited
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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)
EF1G 09 Page 12 © Churchill Maths Limited
Cost of room = 20 × Number of hours + 40
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Q14
10 cm
4 cm
14. Diagram NOTaccurately drawn
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)
EF1G 09 Page 13 © Churchill Maths Limited
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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)
EF1G 09 Page 14 © Churchill Maths Limited
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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)
EF1G 09 Page 15 © Churchill Maths Limited
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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)
EF1G 09 Page 16 © Churchill Maths Limited
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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)
EF1G 09 Page 17 © Churchill Maths Limited
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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)
EF1G 09 Page 18 © Churchill Maths Limited
Ice cream Fruit bowlCake
Female
Male 28
21 30 19
Total
64
Total
50 134
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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)
EF1G 09 Page 19 © Churchill Maths Limited
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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)
EF1G 09 Page 20 © Churchill Maths Limited
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Q25
109°
32°
T
P
Q
R
S
141°
25. Diagram NOTaccurately drawn
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
EF1G 09 Page 21 © Churchill Maths Limited
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