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EXAMINATION NO.: ________________________________________________________FORM 2:_____________
ANGLICAN DIOCESE OF LAKE MALAWI
BISHOP MTEKATEKA SECONDARY SCHOOL
2024/2025 JCE MOCK 1 EXAMINATION
MATHEMATICS
______, December, 2024 Time allowed: 2 hours
Instructions:
1. This paper contains 10 pages. Please check
2. Answer all the questions
3. Show your work clearly.
1. Simplify (i) 2𝑥𝑦 − 4𝑥𝑦 − 4𝑦𝑥 (3marks)
(ii) (2x − 7)2 (3 marks)
2. a) Make the subject of the formula (3 marks)
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b) Factorise completely 8x 2 −18𝑥+9 (4marks)
3. In figure 1, BCD is a straight line. AB is parallel to CE. Angle ABC = 32o and angle
BAC = 60o.
Calculate the value of angles x and y. (5marks)
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3𝑑−9
4. Simplify (4 marks)
𝑑2 −9
5. Simplify 3426 − 1446 , giving your answer in base 10 (5 marks)
6. Find the HCF of 30𝑒𝑓, 10𝑒 2,𝑓 and 5𝑓 (4marks)
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7. In figure below, ABC is a straight line, angle 𝐴𝐵𝐻=54°, angle 𝐻𝐵𝐾=𝑥° and angle
𝐾𝐵𝐶=2𝑥° and angle 𝐵𝐶𝑃=84°
a) Calculate the value of 𝑥 (3marks)
b) Show that lines BK and PC are parallel. (3marks)
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8. Given the sequence , calculate the number of terms. (5 marks)
9. Solve the following simultaneous equation; 3𝑥+2𝑦=18 and 5𝑥−4𝑦=8 (6marks)
10.Figure below shows Venn diagram illustrating the relationship between P and Q.
(4 marks)
Given that 𝑛(𝑃∪𝑄) =32, find the value of 𝑥
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11. Solve the equation: (3marks)
12.A business person has bought a rectangular piece of land which measures 75m in
length and 52m in width. How long is the diagonal of the piece of land? (Correct
your answer to one decimal place) (5marks)
13.A regular polygon has an exterior angle of 30o. Find;
a) The size of its interior angle. (2 marks)
b) The number of sides of the polygon. (3 marks)
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14.Figure below shows an open cylinder with radius 7 cm and height 28 cm.
22
i. Calculate the total surface area of the cylinder. (Take π= ) (3marks)
7
22
ii. Find the volume of the cylinder. (Take π= ) (2marks)
7
15.In figure 5 ABCD is a parallelogram such that angle DAB =
and angle ABC =
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(a) Find the value of (3marks)
(b) calculate the value of angle BCD (2 marks)
16.The nth term of the sequence is 2𝑛3 −𝑛. Calculate the 5th term of the sequence(4marks)
17.Figure ABCD is a quadrilateral in which AB = DC and AB is parallel to DC.(4marks)
Show that triangle ABD is congruent to triangle CDB.
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18.Figure below shows a square based pyramid ABCDE with BC = 9 cm, EC = EB = EA
= ED=17 cm
Calculate the total surface area of the pyramid (5marks)
19.(a) John, Nikita and James share 45 mangoes in the ratio 2: 3:4 respectively. How
many does each get? (3marks)
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(b)The number of girls in a school has decreased from 420 to 350.In what ratio has
the number decreased? (3marks)
20. If the image 𝐴′𝐵′𝐶′ was reflected from triangle ABC on the mirror line 𝑥=1, on the
same Cartesian, draw (6marks)
a) Line 𝑥=1
b) The triangle ABC
- END OF QUESTION PAPER -
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