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
The graph of y = x\(^2\) and y = x intersect at which of these points?
- A. (0,0), (1,1)
- B. (0,0), (0,1)
- C. (1, 0), (0, 0)
- D. (0, 0) (0, 0)
M and N are two subsets of the universal set (U). If n(U) = 48, n(M) = 20, n(N) = 30 and n(MUN) = 40, find n(M \(\cap\) N)
- A. 18
- B. 20
- C. 30
- D. 38
The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter
- A. 42cm
- B. 48cm
- C. 52cm
- D. 60cm
Given that Y is 20cm on a bearing of 300\(^o\) from x, how far south of y is x?
- A. 10cm
- B. 15cm
- C. 25cm
- D. 30cm
If tan x = \(\frac{4}{3}\), 0\(^o\) < x < 90\(^o\), find the value of sin x – cos x
- A. \(\frac{1}{10}\)
- B. \(\frac{1}{5}\)
- C. \(\frac{5}{12}\)
- D. 1\(\frac{2}{5}\)
A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Take \(\pi = \frac{22}{7}\)]
- A. 170\(^o\)
- B. 177\(^o\)
- C. 182\(^o\)
- D. 192\(^o\)
Donations during the launching of a church project were sent in sealed envolopes. The table shows the distribution of the amount of money in the envelope. How much was the donation?
- A. N26,792.00
- B. N26,972.00
- C. N62.792.00
- D. N62,972.00
In the diagram, PQ is a straight line, (m + n) = 110\(^o\) and (n + r) = 130\(^o\) and (m + r) = 120\(^o\). Find the ratio of m : n : r
- A. 2 : 3 : 4
- B. 3 : 4 : 5
- C. 4 : 5 : 6
- D. 5 : 6 : 7
In the diagram, PQ//RS. Find x in terms of y and z
- A. x = 240\(^o\) - y - z
- B. x = 180\(^o\) - y - z
- C. x = 360\(^o\) + y -z
- D. x = 360\(^o\) - y - z
The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m
- A. 90\(^o\)
- B. 60\(^o\)
- C. 45\(^o\)
- D. 30\(^o\)