KCSE Mathematics Paper 1 Sample 2022
This paper will test your ability to recall and apply fundamental mathematical concepts under exam pressure — the skills that separate confident students from those who panic. Inside you'll find carefully-curated questions spanning numbers and commercial arithmetic, algebra and functions, and geometry and trigonometry, all written in the exact style of a real KCSE Paper 1. It's designed for Form 4 students preparing for the national examination, combining straightforward recall with multi-step problem solving to reveal exactly where you need more practice. By the end, you'll know whether you can confidently handle the full range of KCSE topics in the time allowed.
Questions in this quiz
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- Question 1
A trader bought goods for 8000 shillings and sold them for 10400 shillings. What was the profit percentage?
- Question 2
The ratio of boys to girls in a class is 3:4. If there are 21 boys, how many girls are there?
- Question 3
A shopkeeper offers a 15% discount on all items. If an item originally costs 1200 shillings, what is the discount in shillings?
- Question 4
A bank account offers 8% simple interest per annum. If 5000 shillings is invested for 3 years, how much interest is earned?
- Question 5
Solve for x: 3x + 5 = 20
- Question 6
Expand (x + 4)(x − 3).
- Question 7
Solve the quadratic equation .
- Question 8
A linear function is given by f(x) = 2x − 3. What is f(5)?
- Question 9
In a right-angled triangle, the hypotenuse is 13 cm and one side is 5 cm. What is the length of the other side?
- Question 10
The area of a rectangle is 56 square metres and its length is 8 metres. What is its perimeter?
- Question 11
In triangle ABC, angle A = 90°, AB = 3 cm, and AC = 4 cm. What is sin(B)?
- Question 12
The volume of a cylinder with radius 2 cm and height 5 cm is 20π cubic centimetres.
- Question 13
A triangle has angles in the ratio 2:3:4. The smallest angle is 40°.
- Question 14
A sphere has a radius of 3 cm. What is its surface area in terms of π?
- Question 15
Two angles are complementary. If one angle is 35°, what is the other angle?