SOLOMON WISE TEACHING
GROUP
WORK – EXCELLENCE - SUCCESS
THIRD EVALUATION 2023/2024
NAME OF STUDENT:
CLASS: YEAR 8
SUBJECT: MATHEMATICS Duration: 2hr
INSTRUCTIONS:
i. ANSWER ALL QUESTIONS on this same sheet of paper
ii. You are reminded of the necessity of good English and orderly presentation of your work
SECTION A MCQ’S (20 minutes): Mark an (X) on the correct answer.
1. If the length of the shadow of a tree is 6. The line drawn from the eye of an observer
decreasing, then the angle of elevation is? to the point in the object viewed by the
A. Increasing observer is said to be?
B. Decreasing A. Angle of elevation
C. Remains the same B. Angle of depression
D. None of the above C. Bearings
5. The angle of elevation of the top of a building
D. Line of sight
from a point on the ground. Which is 30m away
10. A ladder makes an angle of 60o with the
from the foot of the building is 300. The height
ground, when placed along a wall. If the foot
of the building is?
of the ladder is 8m away from the wall, the
A. 10m
length of the ladder is?
B. 30√ 3m
A. 4m
C. √ 3/10m B. 8m
D. 30 m C. 12m
4. If the height of the building and distance from D. 16m
the building foot’s to a point is increased by 9. The marks obtained by 17 students in a
20%, then the angle of elevation on the top of mathematics test (out of 100) are given below: 98,
the building: 82, 100, 100, 96, 65, 82, 76, 79, 90, 41, 64, 72, 68,
A. Increases 66, 48, and 49. The range of the data set is
B. Decreases A. 59
C. Does not change B. 54
D. None of the above. C. 90
3. If a tower 6m high costs a shadow of 2√ 3m long D. 100
on the ground, then the sun’s elevation is 8. The class center mark for a class of 120 – 160 is
A. 60o A. 130
B. 45o B. 135
C. 30o C. 140
D. 90o D. 145
7. Given the frequency distribution table below
2. The angle formed by the line of sight with the
horizontal when the point is below the X 0-5 5-10 10-15 15-20 20-25
horizontal level is called: f 2 4 6 8 10
A. Angle of elevation What is the median of the distribution?
B. Angle of depression A. 10
C. Bearings B. 7
D. No such angle is formed C. 25
D. 15
SECTION B (30 minutes): CALCULATIONS (show all working). (10 Marks)
1. R
O α θ P
Q
In the figure above, given that OP = PR = 24cm, α = 45o, θ=60 °
i. find the value of OQ and OR to the nearest cm
ii. Find angle ORP and angle QRP to the nearest degree
2. The score (out of 20 marks) of 70 candidates who sat a recruitment test were recorded as follows
12 9 5 8 13 10 3 15 7 9 10 8 11 9 6 14 9 3 10 9 11 8 13 10 12 5 6 13 4 8 7 14 11 9 8 11
5 12 8 12 12 10 3 7 10 13 9 7 9 8 7 11 9 13 12 4 7 2 9 5 10 9 9 6 10 5 12 10 6 11
a. Draw a simple frequency distribution table for the data given above
b. State the modal mark
c. Determine the median of the distribution
d. Find the mean of the distribution, giving your answer to 1 decimal place
e. Draw a cumulative frequency table
f. Using a graph paper and taking 1cm for 5 candidates (on the y-axis) and 1cm for 1 mark (on the x-
axis), draw the cumulative frequency graph. Use your graph to determine the cut off mark given that
18 candidates were recruited
