NAME: ______________________________________________ CLASS: ______
MZUZU DIOCESE SCHOOLS
2020 MALAWI SCHOOL CERTIFICATE OF EDUCATION MOCK EXAMINATION
MATHEMATICS
Wednesday, 25 March Subject Number: M0131/1
Time Allowed: 2 hours
(7.30-09.30am)
PAPER 1
(100 Marks)
Instructions: Question Tick if Do not
1. This paper contains 12 pages. Number Answered write in
these
Please check. margins
2. Answer all the twenty questions 1
2
in this paper.
3
3. The maximum number of marks 4
for each answer is indicated 5
6
against each question. 7
4. Answer all questions in the 8
9
spaces provided. 10
5. Write your name and class on 11
12
top of every page. 13
6. In the table provided on this 14
15
page, tick against the question
16
number you have answered. 17
18
7. Hand in your paper to the
19
invigilator at the end 20
Page 1 of 12
NAME: ______________________________________________ CLASS: ______
1. Factorize 2 x 2 − 7 x − 4 completely
(3 marks)
2. Without using a calculator or four figure tables, find Tan given
that Sin = 0.6
(4 marks)
3. Given that log5 2 = 0.431and log5 3 = 0.623 ,find the value of
log5 60 without using a calculator.
(4 marks)
Page 2 of 12
NAME: ______________________________________________ CLASS: _____
4. Points A and B are (a ,-4) and (-3, b) respectively. If the mid-point of
AB is (-2, 3), find the values of a and b.
(5 marks)
5. Make b the subject of the formula
b− y
x=
b +1
(5 marks)
NAME: ______________________________________________ CLASS: _____
6. Find the remainder when a 3 + 2a 2 − 3(a − 3) is divided by a+1
(6 marks)
7. Without using a table of a calculator simplify
1 3
−
3 3
(5 marks)
NAME: ______________________________________________ CLASS: _____
8. Subtract 12648 from 301556 and leave your answer in base 10
(4 marks)
9. A rhombus has one side of the diagonal 24cm long and a side 13cm.
what is the length of the other diagonal?
(5 marks)
NAME: ______________________________________________ CLASS: _____
10. Figure 1 shows a circle ABC, Centre O.
If ACB = 600 calculate the value of angle ABO.
(6 marks)
11. Given that = , and A = , B =
and C = . Using a venn diagram,
find ( A B C )
(6 marks)
NAME: ______________________________________________ CLASS: _____
12. Solve the equation 2 x
2
− 3x − 4 = 0 , leaving your answer
correct to two decimal places
(7 marks)
13. P varies as q and the square of r. when p = 36, q = 2 and r = 3.
Express q in terms of p when r= 1
2
(7 marks)
NAME: ______________________________________________ CLASS: _____
14. In what proportion must two grades of tea costing K120 per kg and
K150 per kg be mixed in order to produce a blend worth K125 per
kg.
(5 marks)
1 a a2
15. Given that
P = and Q = . Find the value of a
12 1 5
− 6
which
PQ = .
6
(6 marks)
NAME: ______________________________________________ CLASS: _____
16. Figure 2 shows similar triangles ADE and ABC in which AD =
3cm, AB = 5cm and DE is parallel to BC.
If the area of triangle ADE = 6cm 2 , find the area of the trapezium
DECB.
(5 marks)
NAME: ______________________________________________ CLASS: _____
17. Using a ruler and a pair of compasses only construct on the same
diagram,
0
i. Triangle PQR in which PQ = 6cm, angle PQR = 45 and angle
0
QPR = 60
ii. A circumscribed circle of triangle PQR.
iii. Measure and state the circumradius.
(5 marks)
NAME: ______________________________________________ CLASS: _____
18. The first term of a geometric progression is 12 and the fourth term
3
is 2 . Find the common ratio and the second term of the
progression.
(5 marks)
19. A bag contains x red balls, 5 blue balls and 7 green balls. If the
5
probability of selecting a red ball is 11 , find the value of x.
(4 marks)
NAME: ______________________________________________ CLASS: _____
20. Figure 3 shows the unshaded region R described by four
inequalities.
Write down three inequalities in addition to which define the
region.
(5 marks)
END OF QUESTION PAPER
NB: This paper contains 12 pages
