Two fair coins are tossed at the same time. what is the probability of getting a head?
- A. 1
- B. \(\frac{3}{4}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{1}{3}\)
- E. \(\frac{1}{4}\)
If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2
- A. 8
- B. 24
- C. 27
- D. 81
- E. 648
The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)?
- A. 85.7°
- B. 47.5°
- C. 41.5°
- D. 41.4°
- E. 38.2°
If sin θ = \(\frac{4}{5}\) where 0° ∠ θ ∠ 90º, what is the value of cos θ + tan θ?
- A. \(\frac{14}{15}\)
- B. \(\frac{29}{15}\)
- C. \(\frac{13}{8}\)
- D. \(\frac{144}{15}\)
- E. \(\frac{24}{5}\)
Evaluate (\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) – \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)
- A. -\(\frac{17}{36}\)
- B. -\(\frac{3}{28}\)
- C. \(\frac{31}{28}\)
- D. \(\frac{17}{36}\)
- E. \(\frac{1}{4}\)
Solve the equation x\(^2\) – 3x – 10 = 0
- A. -2 or -5
- B. -3 or -10
- C. 5 or -2
- D. 2 or 5
- E. 3 or 10
Convert (\(101.011)_2\) to base 10
- A. 63
- B. 43
- C. 10
- D. \(\frac{77}{8}\)
- E. \(\frac{43}{8}\)
Express 0.03785 in standard form correct to 3 significant figures.
- A. 3 × 10\(^{-2}\)
- B. 3.78 × 10\(^{-2}\)
- C. 3.79 × 10\(^{-2}\)
- D. 3.79 × 10\(^{-1}\)
- E. 3.78 × 10\(^{-2}\)
The first term of a G.P is 7. Find its 4th term, if its common ratio is 3.
- A. 567
- B. 280
- C. 189
- D. 63
- E. 21
A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article
- A. N3450.00
- B. N3910.00
- C. N4000.00
- D. N5290.00
- E. N6900.00
The radius of a sphere is 21cm. If s and v represent the curved surface area and volume respectively, what is s : v? (take π = 3.142)
- A. 1:03
- B. 1:07
- C. 3:01
- D. 3:07
- E. 7:01
51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?
- A. \(\frac{10}{17}\)
- B. \(\frac{7}{17}\)
- C. \(\frac{20}{51}\)
- D. \(\frac{3}{17}\)
- E. \(\frac{1}{51}\)
The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)
- A. 14 cm\(^3\)
- B. 210 cm\(^3\)
- C. 1,400 cm\(^3\)
- D. 2,100 cm\(^3\)
- E. 4,300 cm\(^3\)
In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.
- A. 57°
- B. 45°
- C. 33°
- D. 16°
- E. 89°
Find the value of x in the equation: 9x = 729
- A. 81
- B. 27
- C. 18
- D. 9
- E. 3
Simplify \(\sqrt{6a^{-2}} \times \sqrt{24a^6}\)
- A. ± 16a\(^2\)
- B. ± 16a
- C. ± 14a\(^2\)
- D. ± 12a\(^2\)
- E. ± 12a
Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour
- A. \(\frac{119}{144}\)
- B. \(\frac{95}{144}\)
- C. \(\frac{37}{72}\)
- D. \(\frac{49}{144}\)
- E. \(\frac{1}{6}\)
A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?
- A. N90.00
- B. N80.000
- C. N60.000
- D. N40.000
- E. N20.000
A chord is drawn 12cm away from the centre of a circle of radius 13cm. What is the length of the chord?
- A. 169.00 cm
- B. 144.00 cm
- C. 25.00 cm
- D. 17.69 cm
- E. 10.00 cm
If the volume of a cube is (8 x \(10^3\))cm\(^3\), what is the surface area of the cube?
- A. 2,400 cm\(^2\)
- B. 1,600 cm\(^2\)
- C. 120 cm\(^2\)
- D. 24 cm\(^2\)
- E. 16 cm\(^2\)
The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.
- A. 128.3m
- B. 108.8m
- C. 80.2m
- D. 57.7m
- E. 42.5m