If the equations x\(^2\) – 5x + 6 = 0 and x\(^2\) + px + 6 = 0 have the same roots, find the value of p.
- A. 5
- B. 6
- C. -5
- D. -6
The straight line y = mx – 4 passes through the point(-4,16). Calculate the gradient of the line
- A. -5
- B. -3
- C. 3
- D. 5
The mean of two numbers x and y is 4. Find the mean of four numbers x, 2x, y and 2y
- A. 2
- B. 4
- C. 6
- D. 8
A rectangle with width \(\frac{3}{4}\)cm and area 3 \(\frac{3}{8}\)cm\(^2\). Find the length
- A. 6cm
- B. 4\(\frac{1}{2}\)cm
- C. 2 \(\frac{5}{8}\)cm
- D. 12cm
A local community has two newspapers: the morning tomes and the evening dispatch. The morning times is read by 45% of the households. The Evening Dispatch is read by 60% of the households. Twenty percent of the households read both papers. What is the probability that a particular household reads at least one paper?
- A. 0.45
- B. 0.65
- C. 0.85
- D. 0.95
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