Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]
- A. 15.5cm\(^3\)
- B. 21.0cm\(^3\)
- C. 142cm\(^3\)
- D. 154cm\(^3\)
The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm\(^2\), find the perpendicular distance between the parallel sides.
- A. 5cm
- B. 7cm
- C. 10cm
- D. 15cm
Find the correct to two decimal places, the volume of a sphere whose radius is 3cm. [Take π = \(\frac{22}{7}\)]
- A. 72.57cm\(^3\)
- B. 88.12cm\(^3\)
- C. 10529cm\(^3\)
- D. 113.14cm\(^3\)
The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.
Find the mean
- A. 33.35
- B. 35.54
- C. 34.45
- D. 36.44
The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.
Find the lower quartile
- A. 12
- B. 13
- C. 15
- D. 20
Solve \(\frac{y+2}{4}\) – \(\frac{y-1}{3}\) > 1
- A. y < -10
- B. y < -2
- C. y < 2
- D. y < 10
In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41 and = 141, find ∠QNR
- A. 39º
- B. 80º
- C. 110º
- D. 141º
Simplify \(\frac{2-18m^2}{1+3m}\)
- A. 2[1+3m]
- B. 2[1-3m]
- C. 2[1-3m\(^2\)]
- D. 2[1+3m\(^2\)]
The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.
- A. 75
- B. 65
- C. 55
- D. 45
Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 and with blue eyes is 1/4. What is the probability that she will give birth to a girl with blue eyes?
- A. 1
- B. \(\frac{3}{4}\)
- C. \(\frac{1}{8}\)
- D. \(\frac{1}{4}\)
In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find ∠OSN
- A. 72°
- B. 32°
- C. 36°
- D. 18°
Given that sin (5x-28)° = cos (3x-50)”, 0°≤ x ≤ 90°, find the value of x.
- A. 39
- B. 32
- C. 21
- D. 14
A boy 1.4 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy’s eyes.
- A. 70º
- B. 47º
- C. 19º
- D. 8º
The length of a rectangle is 10 cm. If its perimeter is 28 cm, find the area
- A. 30cm\(^2\)
- B. 40cm\(^2\)
- C. 60cm\(^2\)
- D. 80cm\(^2\)
In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.
- A. 30cm
- B. 32cm
- C. 35cm
- D. 37cm
A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area
- A. 126.5cm\(^2\)
- B. 165.0cm\(^2\)
- C. 212.0cm\(^2\)
- D. 214.5cm\(^2\)
A ladder 6m long leans against a vertical wall at an angle 53º to the horizontal. How high up the wall does the ladder reach?
- A. 3.611m
- B. 4.521m
- C. 4.792m
- D. 3.962m
Find the area of the sector OPSQ
- A. 15.40cm\(^2\)
- B. 17.64cm\(^2\)
- C. 23.10cm\(^2\)
- D. 32.34cm\(^2\)
In the diagram, ∠POQ = 150 and the radius of the circle PSQR is 4.2cm. [take π = 22/7]
What is the length of the minor arc?
- A. 11cm
- B. 15.4cm
- C. 17.64cm
- D. 23.10cm
An exterior angle of a regular polygon is 22.5°. Find the number of sides.
- A. 13
- B. 14
- C. 15
- D. 16