INTERNATIONAL SCHOOL OF ACCRA (ISA)
GEOMETRY - GRADE 9
MID SEMESTER EXAMINATION
Name of Student: ……………………………………………………… Time: 2hours
SECTION A: MULTIPLE CHOICE QUESTIONS (Answer all Questions) – 40 marks
1. The perimeter of a square is 36cm. What is its area?
𝐴) 36cm2
B) 324cm2
C) 81cm2
D) 9cm2
2. In the triangle, the size of the largest angle is:
A) 30o 2x
B) 90o
C) 120o 3x 3𝓍 x
D) 80o not drawn to scale
1
3. Adjacent angles in a parallelogram are 𝓍 o and 3𝓍o. The smallest angles in the
parallelogram are each
A) 30o
B) 45o
C) 60o
D) 120o
4. When the sides of a square are increased by 10, the area is increased by
A). 10%
B). 20%
C). 21%
D). 15%
5. The volume in cm3 of the cylinder is
A).9𝜋
B). 12𝜋
C). 600𝜋 1m s
6cm
D). 900𝜋
6. The graph of y=(𝓍 − 3)(𝓍 − 2) cuts the y-axis at P. The coordinates of P are
A). (0, 6)
B). (6, 0)
C). (2, 0)
D). (3, 0)
2
7. If ∠4 and ∠3 are supplementary, which reason could you use as the first step in
proving that ∠1 and ∠2 are supplementary.
A). Definition of similar angles a b
B). Definition of perpendicular lines 1
2 3
C).Definition of vertical angles 4
D).Division property
̅̅̅̅ is the median. If 𝐴𝐷
8. In ∆𝐴𝐵𝐶, 𝐵𝐷 ̅̅̅̅= 3𝓍+5 and 𝐶𝐷
̅̅̅̅ =5𝓍 − 1, find 𝐴𝐶
̅̅̅̅ .
A). 3 B
B). 11
C) 14
D). 28
A D C
9. If pentagons ABCDE and PQRTS are similar, find SR.
2 A
A). 14 3 P
11 6
4
B). 4 E B T Q
11
C). 3 14
5
D). 1 D C S R
6
3
SECTION B: ESSAY ITEMS (Answer all questions) – 60 marks
1. Find the missing measures:
B
a) b) 16 c) 10 m
6 𝓍 8 710
A
b
5 𝓍 520
d) X 11 m
400 Z
z x
950
(20marks)
Y
4
2. Find the missing values of 𝓍:
203
a)
58 86 𝓍
x
b) 32
40 56
G
c) 20.5 𝓍
I H
8.2 7.6
K Y
A
d) 2.4 2.6
B 2.8 C
3.6 3.9
D E (20marks)
3) a. Find the equation of the perpendicular bisector of the line joining the points
A (-3, 5) and B (9, 8).
b. Find the acute angle between the lines: 3𝓍 − 2𝑦 = 8 and 𝓍 − 5𝑦 = −7
5
c. The lines 3𝓍 + 4𝑦 = 15 intersects the curve 2𝓍𝑦 = 9 at A and B.
Find; i) coordinates of A and B
ii) The distance of AB.
(20 marks)
NO PAIN, NO GAIN!!!