A bearing of 320\(^o\) expressed as a compass bearing is
- A. N 50\(^o\) W
- B. N 40\(^o\) W
- C. N 50\(^o\) E
- D. N 40\(^o\) E
If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ
- A. 6 units
- B. 5 units
- C. 4 units
- D. 2 units
Calculate the gradient (slope) of the joining points (-1, 1) and (2, -2)
- A. -1
- B. \(\frac{-1}{2}\)
- C. \(\frac{1}{2}\)
- D. 1
Which of the following is true about parallelogram?
- A. opposite angles are supplementary
- B. opposite angles are complementary
- C. opposite angles are equal
- D. opposite angles are reflex angles
If the total surface area of a solid hemisphere is equal to its volume, find the radius
- A. 3.0cm
- B. 4.5cm
- C. 5.0cm
- D. 9.0cm
The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres
- A. 4.55 litres
- B. 7.50 litres
- C. 8.10 litres
- D. 9.55 litres
Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.
- A. 10 cm
- B. 14 cm
- C. 16 cm
- D. 20 cm
An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take \(\pi = \frac{22}{7}\)]
- A. 29\(^o\)
- B. 57\(^o\)
- C. 65\(^o\)
- D. 115\(^o\)
Simplify; 3x – (p – x) – (r – p)
- A. 2x - r
- B. 2x + r
- C. 4x - r
- D. 2x - 2p - r
Solve: – \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x – 2) < \(\frac{1}{2}\)
- A. -\(\frac{5}{9}\) < x <\(\frac{8}{9}\)
- B. -\(\frac{8}{9}\) < x <\(\frac{7}{9}\)
- C. -\(\frac{8}{9}\) < x <\(\frac{5}{9}\)
- D. -\(\frac{7}{9}\) < x <\(\frac{8}{9}\)
One factor of \(7x^2 + 33x – 10\) is
- A. 7x + 5
- B. x - 2
- C. 7x - 2
- D. x - 5
A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy’s share.
- A. N1,820.00
- B. 2,000.00
- C. N2,020.00
- D. N2,040.00
Solve the equation: \(\frac{1}{5x} + \frac{1}{x}\)= 3
- A. \(\frac{1}{5}\)
- B. \(\frac{2}{5}\)
- C. \(\frac{3}{5}\)
- D. \(\frac{4}{5}\)
If x = \(\frac{2}{3}\) and y = – 6, evaluate xy – \(\frac{y}{x}\)
- A. 0
- B. 5
- C. 8
- D. 9
Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b.
- A. a + b + 1
- B. ab - 1
- C. a - b + 1
- D. b - a + 1
If M = {x : 3 \(\leq\) x < 8} and N = {x : 8 < x \(\leq\) 12}, which of the following is true?
i. 8 \(\in\) M \(\cap\) N
ii. 8 \(\in\) M \(\cup\) N
iii. M \(\cap\) N = \(\varnothing\)
- A. iii only
- B. i and ii
- C. ii and iii only
- D. i, ii and iii
The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola’s age to Musa’s age is 4:5, what is the ratio of Tunde’s age to Musa’s age?
- A. 1 : 4
- B. 1 : 5
- C. 2 : 5
- D. 5 : 2
Evaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} – 5 \frac{1}{3}}\)
- A. \(\frac{14}{15}\)
- B. \(\frac{13}{15}\)
- C. \(\frac{4}{5}\)
- D. \(\frac{11}{15}\)
If x varies inversely as y and y varies directly as z, what is the relationship between x and z?
- A. x \(\alpha\) z
- B. x \(\alpha\) \(\frac{1}{z}\)
- C. a \(\alpha\) z\(^2\)
- D. x \(\alpha\) \(\frac{1}{z^2}\)
Express 0.0000407, correct to 2 significant figures
- A. 0.0
- B. 0.00004
- C. 0.000041
- D. 0.0000407