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enumitem fancyhdr GCSE Edexcel Mathematics Practice Papers Page 1
GCSE Edexcel Mathematics Non-Calculator
Paper
Time: 30 Minutes Total Marks: 30
Instructions:
• Answer all questions.
• Do not use a calculator.
• Show all working clearly.
• Write your answers in the spaces provided.
1. Calculate 2 12 × 53 . Give your answer as a mixed number in its simplest
form. [1]
2. A shirt’s price increases from £20 to £24. Calculate the percentage in-
crease. [1]
3. Divide £40 in the ratio 3:2. How much is the smaller share? [1]
4. Round 0.007892 to 2 significant figures. [1]
5. Express 48 as a product of its prime factors in index form. [1]
6. Find the LCM of 12 and 18 using their prime factors. [1]
7. A recipe for 4 people requires 200g of flour. How much flour is needed for
6 people? [1]
8. Convert £50 to euros if £1 = €1.20. [1]
9. Is 500ml of juice for £1.50 better value than 750ml for £2.40? [1]
10. Calculate the mean of the data:
Score 1 2 3
[1]
Frequency 4 3 2
11. State one feature of a frequency polygon that distinguishes it from a his-
togram. [1]
12. A spinner has outcomes {1, 2, 3} with probabilities 0.4, 0.3, 0.3. What is
P(2 or 3)? [1]
13. Describe the correlation shown if high test scores correspond to more study
hours. [1]
1
14. A coin is flipped twice. What is the probability of getting two heads? [1]
15. In a class, 10 students like maths, 5 like both maths and science, and 8
like science. What is the probability a science student likes maths? [1]
16. In a group, 12 play football, 8 play rugby, and 5 play both. How many
play at least one sport? [1]
17. What does the median correspond to on a cumulative frequency graph?
[1]
18. A box plot shows a median of 50 and an interquartile range of 20. What
is the upper quartile? [1]
19. Why do histograms have no gaps between bars? [1]
20. If a = 2, b = 3, evaluate 2a + b2 . [1]
21. Simplify x5 ÷ x2 . [1]
22. Expand 2(x − 3) + 4. [1]
23. Factorise 6x + 9. [1]
24. Rearrange 3x + 2y = 8 to make y the subject. [1]
25. Solve 2x − 3 < 7. Represent on a number line. [1]
26. Solve x2 − 4x + 3 = 0. [1]
27. Solve: x + y = 5, 2x − y = 4. [1]
28. Find the equation of the line through (2, 3) with gradient 2. [1]
29. Shade the region defined by y ≥ x on a graph. [1]
30. Find the y-intercept of y = x2 − 2x + 1. [1]
Total: 30 marks
2
GCSE Edexcel Mathematics Calculator Paper
Time: 30 Minutes Total Marks: 30
Instructions:
• Answer all questions.
• You may use a calculator.
• Show all working clearly.
• Write your answers in the spaces provided.
1. £1000 is invested at 4% compound interest annually. Find the amount
after 1 year. [1]
2. A sale price of £80 is after a 20% discount. Find the original price. [1]
3. A, B, and C share £60 in the ratio 2:3:5. How much more does C get than
A? [1]
4. Estimate 19.7 ÷ 4.12 using 2 significant figures. [1]
5. Find the HCF of 36 and 48 using the Euclidean algorithm. [1]
6. Convert $75 to pounds if £1 = $1.40. [1]
7. A cake for 8 needs 300g sugar. How much sugar for 12? [1]
8. Compare 1kg of apples for £2.50 vs. 1.5kg for £3.60. [1]
9. Find the median class for:
Score 0-10 10-20 20-30
[1]
Frequency 5 8 7
10. A bag has 4 red, 6 blue balls. Find P(red, then blue) without replacement.
[1]
11. A scatter diagram shows points (2, 3), (4, 5), (6, 7). Predict y when x =
8. [1]
12. Of 20 students, 12 like art, 8 like music, 5 like both. Find P(art — music).
[1]
13. In a survey, 15 like tea, 10 like coffee, 6 like both. How many like only
tea? [1]
14. Estimate the interquartile range from a cumulative frequency graph with
Q1 = 20, Q3 = 40. [1]
3
15. Draw a box plot for data with min=10, Q1=15, median=20, Q3=25,
max=30. [1]
16. Calculate the frequency density for a class 10-20 with frequency 50 and
width 10. [1]
17. Expand (x + 1)(x − 1)(x + 2). [1]
2x+3
18. Solve 4 = 5. [1]
19. Write the inequality for x between 2 and 8 inclusive. [1]
20. Factorise 3x2 + 10x + 8. [1]
21. Find the turning point of y = x2 + 4x + 3. [1]
22. Find the y-intercept of y = x3 − 2x. [1]
23. State the equation of the asymptotes for y = x1 . [1]
24. If P(A) = 0.6, P(B—A) = 0.5, find P(A and B). [1]
25. If y ∝ x, and y = 10 when x = 2, find y when x = 5. [1]
26. Convert 0.777. . . to a fraction. [1]
27. Write 0.00045 in standard form. [1]
√
28. Simplify 32. [1]
29. Find the upper bound of 5.2 (to 1 d.p.). [1]
30. Find the area of a trapezium with parallel sides 6cm, 10cm, and height
5cm. [1]
Total: 30 marks
