The shaded portion shows the outer boundary
of the half plane defined by the inequality
- A. 4x + 3y \(\geq\) 6
- B. 4x + 3y = 6
- C. 4x + 3y < 6
- D. 3y >6
- E. 4x < 6
In the diagram above, PXR and PYO are two semicircles with diameters 14cm and 7cm respectively. Find the perimeter of the region (take \(\pi\) = \(\frac{22}{7}\) )
- A. 22cm
- B. 33cm
- C. 40cm
- D. 47cm
- E. 66cm
In the diagram above, PXR and PYO are two semi-circles with diameters 14cm and 7cm respectively. Find the area of the enclosed region, PXROY correct to the nearest whole number
- A. 96cm2
- B. 116cm2
- C. 154cm2
- D. 192cm2
- E. 385cm2
Mrs. Kofi sold an article for C7.50 instead of C12.75. Calculate her percentage of error, correct to one decimal place.
- A. 41.2%
- B. 18.3%
- C. 5.3%
- D. 1.7%
- E. 1.4%
A car is travelling at an average speed of 80km/hr. Its speed in meters per second (m/s) is
- A. 13.3m/s
- B. 22.2m/s
- C. 133.3m/s
- D. 222.2m/s
- E. 1333.3m/s
A headmaster contributes 7% of his income into a fund and his wife contributes 4% of her income. If the husband earns N5,500 per annum (p.a) and the wife earns N4,000 (P.a), find the sum of their annual contribution to the fund
- A. N1045
- B. N605
- C. N545
- D. N490
- E. N440
A cylinder of base radius 4cm is open at one end . If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder
- A. 1cm
- B. 2cm
- C. 4cm
- D. 8cm
- E. 16cm
If 2x + y = 7 and 3x – 2y = 3, by how much is 7x greater than 10?
- A. 1
- B. 3
- C. 7
- D. 10
- E. 17
Find the equation whose roots are -2/3 and -1/4
- A. 12x2 + 11x + 2 = 0
- B. 12x2 - 11x + 2 = 0
- C. x2 - 11/12x + 2 = 0
- D. 12x2 - 11x - 2 = 0
- E. x2 - 11/12x - 2 = 0
Simplify: \(\frac{1}{4}(2^n – 2^{n + 2}\))
- A. \(2^{n - 2} - 2^n\)
- B. \(2^{n-2}(1-2^n\))
- C. \(2^n + 2^{2 + n}\)
- D. \(2^{2n}\)
Simplify \((\frac{3}{x} – \frac{15}{2y}) \div \frac{6}{xy}\)
- A. \(\frac{2y - 5x}{4}\)
- B. \(\frac{9(2x - 5x)}{x^2y^2}\)
- C. \(\frac{5x - 2y}{2}\)
- D. \(\frac{c^2y^2}{18y - 45x}\)
- E. \(\frac{4}{2y - 5x}\)
Solve the equation: 3a + 10 = a\(^2\)
- A. a = 5 or a = 2
- B. a = -5 or a = 2
- C. a = 10 or a = 0
- D. a = 5 or a = 0
- E. a = 5 or a = -2
Factorize 3a\(^2\) – 11a + 6
- A. (3a - 2)(a - 3)
- B. (2a -2)(a - 3)
- C. (3a - 2)(a + 3)
- D. (3a + 2)(a - 3)
- E. (2a-3)(a + 2)
For what value of y is the expression \(\frac{y + 2}{y^{2} – 3y – 10}\) undefined?
- A. y = 0
- B. y = 2
- C. y = 3
- D. y = 5
- E. y = 10
Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\)
- A. 1/8
- B. 1/4
- C. 2
- D. 4
- E. 8
Find the number whose logarithm to base 10 is 2.6025
- A. 400.4
- B. 0.4004
- C. 0.04004
- D. 0.004004
- E. 0.0004004
The population of a village is 5846. Express this number to three significant figures
- A. 5850
- B. 5846
- C. 5840
- D. 585
- E. 584
Express 0.0462 in standard form
- A. 0.462 x 10-1
- B. 0.462 x 10-2
- C. 4.62 x 10-1
- D. 4.62 x 10-2
- E. 4.62 x 103