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Number Practice Questions

GCSE · GCSE Mathematics · 130 free MCQs with instant results and detailed explanations.

130
Total
37
Easy
73
Medium
20
Hard

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Sample Questions from Number

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Q1
Easy
If you multiply 4 by 5, what is the product?
A. 20
B. 25
C. 30
D. 35
Show Answer & Explanation
Correct Answer: A
The product of 4 and 5 is 20, as multiplication is repeated addition (4 + 4 + 4 + 4 + 4 = 20).
Q2
Easy
What is the value of 15% of 200?
A. 30
B. 25
C. 20
D. 15
Show Answer & Explanation
Correct Answer: A
To find 15% of 200, you multiply 200 by 0.15, which equals 30.
Q3
Easy
What is the value of 7 × 8?
A. 54
B. 56
C. 64
D. 48
Show Answer & Explanation
Correct Answer: B
7 multiplied by 8 equals 56. This is a basic multiplication fact.
Q4
Medium
If x is an integer such that 4x + 5 = 29, what is the value of x?
A. 3
B. 4
C. 5
D. 6
Show Answer & Explanation
Correct Answer: A
To find x, first subtract 5 from both sides to get 4x = 24, then divide by 4, resulting in x = 3.
Q5
Medium
If a number is divided by 8 and the result is 7, what is the original number?
A. 56
B. 57
C. 63
D. 64
Show Answer & Explanation
Correct Answer: A
If dividing a number by 8 gives 7, multiplying 7 by 8 gives the original number: 7 * 8 = 56.
Q6
Medium
Which of the following is the prime factorization of 28?
A. 2 × 2 × 7
B. 4 × 7
C. 2 × 14
D. 2 × 2 × 2 × 3
Show Answer & Explanation
Correct Answer: A
The number 28 can be factored into primes as 2 × 2 × 7, which is the correct prime factorization.
Q7
Medium
A store offers a discount of 20% on a pair of shoes that originally costs £50. What is the sale price of the shoes?
A. £30
B. £40
C. £45
D. £50
Show Answer & Explanation
Correct Answer: B
A 20% discount on £50 is £10, so the sale price is £50 - £10 = £40.
Q8
Hard
A shop sells pencils for 75 pence each and erasers for 45 pence each. If a student buys a total of 15 items for exactly £8.55, how many pencils did the student buy?
A. 5
B. 8
C. 10
D. 7
Show Answer & Explanation
Correct Answer: C
Let the number of pencils be x and the number of erasers be y. We have two equations: x + y = 15 and 0.75x + 0.45y = 8.55. By substituting y = 15 - x into the second equation, we can solve for x, leading to 0.75x + 0.45(15 - x) = 8.55. This simplifies to x = 10.
Q9
Hard
A rectangular garden has a length that is 4 meters more than twice its width. If the perimeter of the garden is 40 meters, what is the width of the garden?
A. 6
B. 8
C. 10
D. 12
Show Answer & Explanation
Correct Answer: B
Let the width be w. Then the length is 2w + 4. The perimeter is given by 2(length + width) = 40. Solving this gives w = 8.
Q10
Hard
What is the least common multiple (LCM) of 12 and 18?
A. 36
B. 24
C. 30
D. 54
Show Answer & Explanation
Correct Answer: A
The least common multiple of two numbers is the smallest multiple that is evenly divisible by both numbers. For 12 (multiples: 12, 24, 36, ...) and 18 (multiples: 18, 36, ...), the smallest common multiple is 36.

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More GCSE Mathematics Chapters

1 Algebra
138 Qs →
2 Ratio Proportion and Rates of Change
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3 Geometry and Measures
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4 Probability
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5 Statistics
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Number — GCSE GCSE Mathematics Practice Questions Online

This page contains 130 practice MCQs for the chapter Number in GCSE GCSE Mathematics. The questions are organized by difficulty — 37 easy, 73 medium, 20 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.