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Numbers Practice Questions

KCSE (Kenya) · KCSE Mathematics · 134 free MCQs with instant results and detailed explanations.

134
Total
45
Easy
69
Medium
20
Hard

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Sample Questions from Numbers

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Q1
Easy
Which of the following is a prime number?
A. 15
B. 21
C. 17
D. 25
Show Answer & Explanation
Correct Answer: C
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. 17 is prime because it can only be divided evenly by 1 and 17.
Q2
Easy
If a number is divided by 5 and gives a remainder of 3, what is the smallest possible positive number?
A. 3
B. 8
C. 13
D. 18
Show Answer & Explanation
Correct Answer: B
To find the smallest positive number that leaves a remainder of 3 when divided by 5, we can represent this number as 5n + 3, where n is a non-negative integer. For n = 1, the number is 5(1) + 3 = 8. Thus, the smallest positive number is 8, which corresponds to option B.
Q3
Easy
What is the value of 7 squared?
A. 49
B. 14
C. 56
D. 64
Show Answer & Explanation
Correct Answer: A
7 squared means 7 multiplied by itself (7 x 7), which equals 49.
Q4
Medium
What is the least common multiple (LCM) of 12 and 15?
A. 60
B. 30
C. 15
D. 45
Show Answer & Explanation
Correct Answer: A
The LCM of 12 and 15 is 60, as it is the smallest multiple that both numbers share. The multiples of 12 are 12, 24, 36, 48, 60, etc., and the multiples of 15 are 15, 30, 45, 60, etc. The first common multiple is 60.
Q5
Medium
A shop sells pencils for 80 KSh each. If a customer buys a pack of 12, how much will they pay in total?
A. 800 KSh
B. 960 KSh
C. 840 KSh
D. 720 KSh
Show Answer & Explanation
Correct Answer: B
To find the total cost, multiply the price of one pencil by the number of pencils in a pack. Therefore, 80 KSh * 12 = 960 KSh.
Q6
Medium
What is the value of x in the equation 3(x - 2) = 15?
A. 5
B. 7
C. 10
D. 8
Show Answer & Explanation
Correct Answer: B
To solve for x, first distribute 3: 3x - 6 = 15. Adding 6 to both sides gives 3x = 21, and dividing by 3 gives x = 7.
Q7
Medium
If the product of two numbers is 48 and one of the numbers is 6, what is the other number?
A. 8
B. 6
C. 12
D. 4
Show Answer & Explanation
Correct Answer: A
To find the other number, divide the product by the known number: 48 ÷ 6 = 8, hence the other number is 8.
Q8
Hard
What is the least common multiple (LCM) of 12, 15, and 20?
A. 60
B. 120
C. 180
D. 30
Show Answer & Explanation
Correct Answer: A
The LCM of 12, 15, and 20 is 60, as it is the smallest number that all three numbers can divide into evenly.
Q9
Hard
A certain number is increased by 25% and then decreased by 20%. If the final result is 96, what was the original number?
A. 80
B. 75
C. 100
D. 90
Show Answer & Explanation
Correct Answer: A
If the original number is 80, increasing it by 25% gives 100, and then decreasing by 20% results in 80, matching the final result of 96.
Q10
Hard
If the sum of three consecutive integers is 72, what is the largest of these integers?
A. 25
B. 24
C. 23
D. 22
Show Answer & Explanation
Correct Answer: A
Let the three consecutive integers be x, x+1, and x+2. Their sum can be expressed as x + (x + 1) + (x + 2) = 72. Simplifying gives 3x + 3 = 72, leading to 3x = 69, so x = 23. Therefore, the largest integer is 23 + 2 = 25.

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Numbers — KCSE (Kenya) KCSE Mathematics Practice Questions Online

This page contains 134 practice MCQs for the chapter Numbers in KCSE (Kenya) KCSE Mathematics. The questions are organized by difficulty — 45 easy, 69 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.