STUDENT NAME:_______________________________ SCHOOL:___________________

2025 M131/1

SOUTH WEST EDUCATION DIVISION

2025 MALAWI SCHOOL CERTIFICATE OF EDUCATION MOCK EXAMINATION

MATHEMATICS
Subject Number: M131/I
Tuesday, 27 March Time Allowed: 2 hours
8:00-10:00 am
PAPER I
(100 marks)
Instructions
1. This paper contains 12 printed pages. Question Tick if Do not write in
Please check. Number answered these columns
2. Answer all the 20 questions in this paper. 1
2
3. The maximum number of marks for each
3
answer is indicated against each question. 4
4. Write your answers in the spaces provided on 5
6
the question paper.
7
5. Calculators may be used. 8
6. All working must be clearly shown. 9
10
7. Write your Name and School name at the top 11
of each page of your question paper in the 12
spaces provided. 13
14
8. In the table provided on this page, tick against 15
the question number you have answered. 16
17
18
19
20
Total

© 2025 SWED MOCK Turn over

STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 2 of 12 M131/1
Answer all the twenty questions in the spaces provided
1. Factorise completely . (4 marks)

√
2. Without using a calculator, rationalise the denominator of . (5 marks)
√ √

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 3 of 12 M131/1
3. Figure 1 shows a velocity-time graph of a moving object.

If the total distance travelled by the object is 48 m, calculate the value of t. (4 marks)

4. Given that ( ) and ( ). If find matrix C. (5 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 4 of 12 M131/1
5. Given that is a factor of the expression . Calculate the value of k.
(5 marks)

6. Make subject of the formula √ . (6 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 5 of 12 M131/1
7. Figure 2 shows a cuboid which is 23 cm long, 15 cm wide and 10 cm high.

Calculate the total surface area of the cuboid. (5 marks)

8. Given that the deviations from the mean of three scores are 2, 5 and a, calculate the
variance of the scores. (5 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 6 of 12 M131/1
9. Solve the equation giving the answer correct to two decimal places.
(7 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 7 of 12 M131/1
√
10. The function has the domain and the range , calculate
the values of a and b. (5 marks)

11. Figure 3 shows a triangle PQR whose vertices are P(1,6), Q(2,6) and R(2,3).

Figure 3

Draw the image of the triangle PQR using -2 as a scale factor and (1, 0) as the centre of
enlargement. (5 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 8 of 12 M131/1
12. The quantity d varies inversely as the square of r and directly as h. When d= 2, r= -12 and
h= 8. Find r when d= 9 and h= 6 . (6 marks)

13. A chord of a circle centre O is 2.76 cm long. If the diameter of the circle is 6 cm, calculate
the distance of the chord from the centre leaving the answer to 2 significant figures.
(5 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 9 of 12 M131/1
14. Find the coordinates of x-intercept for a line parallel to ( √ ) passing
through (0, 4) leaving the answer in the simplest surd form. (5 marks)

15. Given that the volumes of two similar bottles are 32 cm3 and 500 cm3. If their heights are
h cm and (2h+3) cm respectively, calculate the value of h. (4 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 10 of 12 M131/1
16. Given the coordinates for P= (2, 4) and Q= (6, u). If 2|⃗⃗⃗⃗⃗ | units. Calculate the
values of u. (5 marks)

17. The nth term of a geometric progression (GP) is given by 3(2n-1). Find the sum of the first
8 terms. (5 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 11 of 12 M131/1
o
18. The angle of elevation from a man to the top of a tower is 38 . If the man is 12 m from the
foot of the tower, calculate the distance of the man from the top of the tower, giving the
answer correct to 2 decimal places. (4 marks)

19. Figure 4 shows a circle ABC centre O in which AT and BT are tangents to the circle at A
and B respectively.

If angle ATB= 70o and angle OAC= 10o, calculate the value of angle BAC. (5 marks)

Continued/…
STUDENT NAME:_______________________________ SCHOOL:___________________
2025 Page 12 of 12 M131/1
20. On the same axes, using a scale of 2 cm to represent 1 unit on horizontal axis and 2 cm
to represent 2 units on vertical axis, draw the graphs to show the region bounded by
the following inequalities on the graph paper below. Shade the unwanted region.

(5 marks)

END OF QUESTIONPAPER
NB: This paper contains 12 pages.