DIJIPLEX SECONDARY SCHOOL
Post Code : P.O BOX 59630 - 80000 MOMBASA
MATHEMATICS FORM 2
FORM 2: TERM 1,2025March 2025
2:30 minute
Exam code: 522134
Instructions to Candidates
- Write your name , school , admission number and stream in the spaces provided above.
- Sign and write the date in the spaces provided.
- This paper contains two sections ; section A and section B.
- Answer all questions in section A and section B.
- All workings and answers must be written on the question paper in the spaces provided below each question
- show all steps in your calculations giving your answer at each stage in the spaces below each question.
- Non-programmable electronic calculator and KNEC mathematical tables may be used except where stated otherwise.
For Examiner's Use Only
SECTION A
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | Total |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
SECTION B
| 14 | 15 | 16 | Total |
|---|---|---|---|
SECTION A
Answer all questions
Find the equation of a line through point (5, -1) and perpendicular to line 4x + 2y – 3 = 0. (3mks)
Two spheres have surface areas of 36cm2 and 49cm2. If the volume of the smaller sphere is 20.2cm3 calculate the volume of the larger one. (3 mks)
Find the integral values of x which satisfy the following inequality. (3 marks)
Factorize the quadratic expression x2 + 6x + 9 (3mks)
The interior angle of a regular polygon is 1500. Find the value of n. (3 mks)
Simplify the following expression (3 mks)
Calculate the area of the shaded region given that the radius is 27cm. (4 mks)
Simplify: (3mks)
Using a pair of compasses and a ruler only construct a triangle ABC such that AB= 4cm,BC = 6cm and angle ABC = 135°. (3mks)
Calculate the volume of a sphere of radius 9cm. (3mks)
Solve for x. (3mks)
A straight line passing through A (-2,1) and B(2,-k). The line is perpendicular to a line 3y + 2x = 5. Determine the value of k and hence the equation passing through A and B. (3mks)
Use substitution method to solve (3mks)
3y + 2x = 13
2y - 3x = 0
SECTION B
Answer all questions
A soda depot had 30816 sodas which were packed in crates. Each crate contained 24 sodas. The mass of an empty crate was 2kg and that of a full crate is 12 kg.
a) How many crates were there? (2mks)
b) What was the total mass of empty crates? (2mks)
c) What was the total mass of sodas alone? (3mks)
d) A lorry was hired to transport the crates at a cost of sh. 5 per crate of soda per trip. The lorry could only carry 107 crates per trip. How much money was spent on transporting all the crates? (3mks)
Triangle PQR has vertices P(3,2), Q(-1,1) and R(-3,-1).
(a) Draw PQR on the grid provided. (1mk)
(b) Under a rotation the vertices of P1Q1R1 are P1(1,4), Q1(2,0) and R1(4,-1). Find the centre and angle of rotation using points P and Q. (4mks)
(c) Triangle PQR is enlarged with scale factor 3 centre O(0,0) to give triangle P2Q2R2. Draw triangle P2Q2R2 and state its co-ordinates. (2mks)
(d) Triangle P1Q1R1 undergoes reflection in line y = x to give triangle P3Q3R3. draw P3Q3R3 and state its coordinates. (3mks)
A country bus left Nairobi at 10.45a.m and traveled towards Mombasa at an average speed of 60km/h. A matatu left Nairobi at 1:15p.m on the same day and traveled along the same road at an average speed of 100km/h. The distance between Nairobi and Mombasa is 500km.
(a) Determine the time of the day when the matatu overtook the bus (5mks)
(b) Both vehicles continued towards Mombasa at their original speeds. How long had the
Matatu waited before the bus arrived? (5mks)