BROOKEVIEW HIGH SCHOOL
END OF FIRST TERM EXAMINATIONS
CAMBRIDGE LOWER SECONDARY
MATHEMATICS
FORM 2
MATHEMATICS
0862/02
Paper 2
31/ 03/ 2025
1 hour 30 minutes
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
 Answer all questions.

Use a black or dark blue pen.

You may use an HB pencil for any diagrams or graphs.

Write your name and class in the boxes at the top of the page.

Write your answer to each question in the space provided.

You should show all your working in the booklet and omission of essential working will result
in loss of marks.

You may use a calculator.
INFORMATION
 The total mark for this paper is 50.
 The number of marks for each question or part question is shown in brackets [ ].
This document has 10 pages. Any blank pages are indicated.
0862_02/6RP
© UCLES 2025
2
1)
(𝒙 + 𝟑) cm
(𝟑𝒙) cm
(𝒙 + 𝟕) cm
The perimeter of the rectangle above is equal to the
perimeter of the given equilateral triangle.
a) Form an equation in terms of 𝑥 and solve it.
Answer
𝒙=
[4]
b) Using the value of 𝒙 in (a), substitute and work out the actual:
(i)
Length of the rectangle:
Answer
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[1]
3
(ii)
(iii)
Width of the rectangle:
Answer
[1]
Answer
[1]
Answer
[3]
Area of the rectangle
c) Using the value of 𝑥 in (a), calculate the actual perimeter of the triangle:
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1
2 ) The following is a coordinate grid for transformation.
Use this graph to answer all part questions on the next page.
𝑦
K
N
Q
X
C
P
A
G
B
E
T
CC
W
F
𝒙
0
R
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L
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5
2a)
( i ) Label the axes using a suitable scale.
Answer on the coordinate grid
( ii ) State the coordinates of the vertices of triangle TEF:
Answer: T (
;
),
E(
;
) and
F(
;
) [2]
b) Describe the single transformation which maps triangle RLW onto triangle ABC
…………………………………………………………………………………………………
…………………………………………………………………………………………………
………………………………………………………………………………………………… [2]
c)
Describe the single transformation which maps triangle RLW onto triangle KNX
………………………………………………………………………………………………....
…………………………………………………………………………………………………
………………………………………………………………………………………………… [2]
d) Describe the single transformation which maps triangle ABC onto triangle TEF
…………………………………………………………………………………………….....
………………………………………………………………………………………………..
………………………………………………………………………………………………..
[2]
e) Describe the single transformation which maps triangle ABC and triangle PGQ
…………………………………………………………………………………………….
………………………………………………………………………………………………
……………………………………………………………………………………………… [2]
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3 ) The diagram shows two parallel lines and two transversal.
d
c
500
b
e
70°
a
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3) ( a i ) Draw a ring around all the angles that must be
equal to 70°.
a
b
c
d
e
( ii ) Calculate angles c and e
Answer:
c=
and
e =
[2]
( b ) The interior angles of a regular polygon are each
𝟏𝟑𝟓𝟎 . Calculate
i ) the number of sides
Answer: n =
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[3]
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( b ii ) Calculate the sizes of the exterior angles:
Answer:
[1]
3 c ) By adding the interior angles of this irregular
polygon and equating the result to the formula for
calculating the sum of interior angles;
Work out the value of 𝒙.
Answer: 𝒙 =
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[3]
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m
9
4 ).
A
E
8 cm
B
1111
9cm
F
3cm
D
20 cm
C
ABCD is a rectangle in which DE makes ADE a right angled triangle and EF makes EBF
another right angled triangle. The rectangle measures 20cm by 9cm.
a ) By considering the fact that 𝐀𝐄 = 𝐀𝐁 − 𝐄𝐁, work out the;
( i ) Length of the hypotenuse DE
Answer: DE =…………… [2]
( ii ) Area of the triangle ADE
Answer: Area =…………… [2]
( iii ) Length of the hypotenuse EF
Answer: EF =……………[2]
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4 b) The trapezium is made up of triangles
A
E
D
B
C
Triangles ABE and BCE are right-angled triangles.
Triangles CDE and BCE are isosceles triangles (CE = DE and BC = BE).
AE = 3 cm and EB = 4 cm.
(a) Work out the length of
i ) AB
gf Answer: AB =
cm [2]
i ) AD
Answer: AD =……………………cm
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[3]
11
5a) ( i ) State the y-intercept and gradient of the linear graph below
y
7
6
5
4
3
2
1
–2
0
–1
x
1
2
3
4
5
–1
–2
Answer: y-intercept =
and gradient =
[1]
( ii ) On the same axis draw the graph of 𝒚 = 𝒙 + 𝟑.
Table of vales for 𝒚 = 𝒙 + 𝟑.
x
0
1
2
y
3
4
5
Answer: on the coordinate grid [2]
(iii) Using the point of intersection of the linear graph in (i) and the graph of 𝒚 = 𝒙 + 𝟑 in (ii); state the
value of 𝑥 and the value of 𝑦.
Answer:
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𝒙=
𝑎𝑛𝑑 𝒚 =
[2]
12
5b) The following is an incomplete table of values for the graph of 𝒚 = 𝒙𝟐 − 𝟏
𝑥
𝑦
−3
8
−2
𝑚
−1
0
0
−1
1
0
2
3
3
𝑛
( i ) Find the value of m and the value of n :
Answer
m=
and n =
[2]
( ii ) Using the points in the table of values above, draw the functional graph of 𝒚 = 𝒙𝟐 − 𝟏
on the coordinate grid below.
12
11
10
9
8
7
6
5
4
3
2
1
–4 –3 –2 –1 0
–1
1
2
3
4
5
6
7
8
9
10
x
–2
Answer on the coordinate grid above [3]
All the best
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