In a class of 30 students, the marks scored in an examination are displayed in the histogram. What percentage of the student scored more than 40%?
- A. 14%
- B. 40%
- C. 46\(\frac{3}{4}\)%
- D. 53\(\frac{1}{3}\)%
If PST is a straight line and PQ = QS = SR in the diagram, find y.
- A. 24o
- B. 48o
- C. 72o
- D. 84o
If PQR is a straight line with QS = QR, calculate TPQ, If QT\\SR and TQS = 3yo
- A. 62o
- B. 56\(\frac{3}{2}\)o
- C. 20\(\frac{3}{2}\)o
- D. 18o
In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR:PR?
- A. 7:3
- B. 3:7
- C. 3:4
- D. 4:3
MN is tangent to the given circle at M, MR, and MQ are two chords. IF QMN is 60º and MNQ is 40º. Find RMQ
- A. 120o
- B. 110o
- C. 60o
- D. 20o
On the curve, the points at which the gradient of the curve is equal to zero are
- A. c, d, f. i, l
- B. b, e, g, j, m
- C. a, b, c, d, f, i, j, l
- D. c, d, f, h, i, l
If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is
- A. (2.6, 2.6)
- B. (2.5, 2.6)
- C. (2.6, 2.5)
- D. (2.5, 2.1)
In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather?
- A. 35 years
- B. 40 years
- C. 42 years
- D. 54 years
In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart
- A. 30o
- B. 60o
- C. 112.5o
- D. 157.5o
OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT
- A. 2\(\sqrt{5}\)
- B. 3
- C. 4
- D. 4\(\sqrt{3}\)
a cylindrical metal pipe 1m long has an outer diameter of 7.2cm and an inner diameter of 2.8cm. Find the volume of metal used for the cylinder
- A. 440\(\pi\)cm3
- B. 1100\(\pi\)cm3
- C. 4400\(\pi\)cm3
- D. 1100\(\pi\)cm3
A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?
- A. 336
- B. 420
- C. 576
- D. 720
4sin2 x – 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90o
- A. 30o
- B. 45o
- C. 60o
- D. 9o
The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35o and 55o. Find the distance between the two points of observation
- A. 10(sin 35o - sin 55o)
- B. 10 cos35o - cos 55o
- C. 10(tan35o - tan55o)
- D. 10(cot35o - cot55o)
if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle.
- A. 68cm
- B. 84cm
- C. 100cm
- D. 120cm
In XYZ, y = z = 30° and XZ = 3cm. Find YZ
- A. \(\frac{\sqrt{3}}{2}\) cm
- B. 3\(\frac{\sqrt{3}}{2}\) cm
- C. 3\(\sqrt{3}\) cm
- D. 2\(\sqrt{3}\) cm
PQRS is a rhombus. If PR\(^2\) + QS\(^2\) = kPQ\(^2\), determine k.
- A. 1
- B. 2
- C. 3
- D. 4
A regular polygon of (2k + 1) sides has 140° as the size of each interior angle. Find k
- A. 4
- B. 4\(\frac{1}{2}\)
- C. 8
- D. 8\(\frac{1}{2}\)
If -8, m, n, 19 are in arithmetic progression, find (m, n)
- A. 1, 10
- B. 2, 10
- C. 3, 13
- D. 4, 16
The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is
- A. \(\frac{x}{y}\)
- B. \(\frac{y}{x}\)
- C. (\(\frac{x}{y}\))\(\frac{1}{n - 2}\)
- D. (\(\frac{y}{x}\))\(\frac{1}{n - 2}\)
Simplify \(\frac{x(x + 1)^{-\frac{1}{2}} – (x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}}\)
- A. \(\frac{-1}{x + 1}\)
- B. \(\frac{1}{x + 1}\)
- C. \(\frac{1}{x}\)
- D. \(\frac{1}{x - 1}\)