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30 questions
Express 50 300 000 in standard form.
In Diagram 1, PQRSTU is a regular hexagon.
RPW and RUV are straight lines.
Find the value of x.
40
50
60
70
In Diagram 2, PQRST is a regular pentagon.
QPU, UVW, RSW and STV are straight lines.
Find the value of x - y.
12
24
36
60
In Diagram 3, PQ is a tangent to the circle at Q.
Find the value of x.
20
50
60
80
In Diagram 4, PQRSTU is a regular hexagon with centre O.
The image of ΔSOT under 120⁰ anticlockwise rotation about O is
ΔUOP
ΔPOQ
ΔQOR
ΔUOT
Diagram 5 shows triangle PQR drawn on a square grid.
P' is the image of P under an enlargement with a scale factor of 2.
Which of the points A, B, C or D, is the image of R under the same enlargment?
A
B
C
D
In Diagram 6, PQRS is a rectangle and SM = MR.
Find the value of cos y.
16
19
22
24
Diagram 8 shows a pyramid with rectangle PQRS as its horizontal base.
Given that vertical edge VS = 5 cm, calculate the angle between the edge VQ and the base PQRS.
27⁰
30⁰
32⁰
40⁰
In Diagram 10, P, Q and R are three points on level ground.
Find the bearing of R from Q.
050⁰
110⁰
130⁰
230⁰
Given that
8 = 4 - 3(m - 1),
calculate the value of m.
6
9
List all the integers x that satisfy both the inequalities
3 - x > 0 and 4x + 1 ⩾ -3
0, 1, 2
0, 1, 2, 3
-1, 0, 1, 2
-1, 0, 1, 2, 3
The pie chart in Diagram 13 shows the grades A, B and C obtained by a group of students.
Which of the following statements is TRUE about the pie chart?
15% of the students obtained grade B.
90⁰ of the students obtained grade A.
More than half of the students obtained grade B.
Which of the following graphs represents
3y - 5x = 15?
Find the x-intercept of the straight line
2x - 3y = 6.
-2
3
In Diagram 16, PQR is a right-angled triangle drawn on a Cartesian plane.
The gradient of PR is 2.
Find the value of h.
2
3
4
5
It is given that y varies inversely as the square root of x and that y = 12 when x = 9.
Calculate the value of x when y = 9.
2
4
8
16
The diagram shows a solid with PQRST as its uniform cross section.
PQR is a semicircle and PRST is a rectangle.
Find the total surface area of the solid in cm².
120 + 27π
174 + 36π
174 + 90π
228 + 36π
The diagram shows a circle with centre O.
Find the value of y.
5
10
15
25
1365
1736
1750
2520
Determine the median class.
5 - 9
10 - 14
15 - 19
20 - 24
Calculate the mean based on the table given.
20.14
16.22
15.10
14.22
Round off 0.080365 correct to three significant figures.
0.08
0.080
0.0804
0.08037
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