Which of the following is not a probability of Mary scoring 85% in a mathematics test?
- A. 0.15
- B. 0.57
- C. 0.94
- D. 1.01
The bearing of Y from X is 060º and the bearing of Z from Y = 060º. Find the bearing of X from Z
- A. 300o
- B. 240o
- C. 180o
- D. 120o
An object is 6m away from the base of a mast. The angle of depression of the object from the top pf the mast is 50o, Find, correct to 2 decimal places, the height of the mast
- A. 8.60m
- B. 7.51m
- C. 7.15m
- D. 1.19m
If sin x = \(\frac{5}{13}\) and 0o \(\leq\) x \(\leq\) 90o, find the value of (cos x – tan x)
- A. \(\frac{7}{13}\)
- B. \(\frac{12}{13}\)
- C. \(\frac{79}{156}\)
- D. \(\frac{209}{156}\)
A cube and cuboid have the same base area. The volume of the cube is 64cm\(^3\) while that of the cuboid is 80cm\(^3\). Find the height of the cuboid
- A. 1cm
- B. 3cm
- C. 5cm
- D. 6cm
A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord
- A. 2\(\sqrt{21}\)cm
- B. \(\sqrt{42}\)cm
- C. 2\(\sqrt{19}\)cm
- D. \(\sqrt{21}\)cm
Given that \(p^{\frac{1}{3}}\) = \(\frac{\sqrt[3]{q}}{r}\), make q the subject of the equation
- A. q = p\(\sqrt{r}\)
- B. q = p3r
- C. q = pr3
- D. q = pr\(\frac{1}{3}\)
If \(\frac{1}{2}\)x + 2y = 3 and \(\frac{3}{2}\)x – 2y = 1, find (x + y)
- A. 3
- B. 2
- C. 1
- D. 5
If x = 64 and y = 27, evaluate: \(\frac{x^{\frac{1}{2}} – y^{\frac{1}{3}}}{y – x^{\frac{2}{3}}}\)
- A. 2\(\frac{1}{5}\)
- B. 1
- C. \(\frac{5}{11}\)
- D. \(\frac{11}{43}\)
Solve the inequality: \(\frac{2x – 5}{2} < (2 – x)\)
- A. x > 0
- B. x < \(\frac{1}{4}\)
- C. x > 2\(\frac{1}{2}\)
- D. x < 2\(\frac{1}{4}\)
Simplify: \(\frac{x^2 – y^2}{(x + y)^2} \div \frac{(x – y)^2}{(3x + 3y)}\)
- A. \(\frac{x - y}{3}\)
- B. x + y
- C. \(\frac{3}{x - y}\)
- D. x - y
Four oranges sell for Nx and three mangoes sell for Ny. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y?
- A. N94x + 6y)
- B. N(6x + 4y)
- C. N(24x + 12y)
- D. N(12x + 24y)
A sales boy gave a change of N68 instead of N72. Calculate his percentage error
- A. 4%
- B. 5\(\frac{5}{9}\)%
- C. 5\(\frac{15}{17}\)%
- D. 7%
If \(\sqrt{50} – K\sqrt{8} = \frac{2}{\sqrt{2}}\), find K
- A. -2
- B. -1
- C. 1
- D. 2
Simplify \(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\)
- A. 9
- B. 4\(\frac{1}{2}\)
- C. 2
- D. \(\frac{1}{2}\)
In what number base is the addition 465 + 24 + 225 = 1050?
- A. ten
- B. nine
- C. eight
- D. seven
If 9(2 – x) = 3, find x
- A. 1
- B. \(\frac{3}{2}\)
- C. 2
- D. \(\frac{5}{2}\)
Multiply 2.7 x 10-4 by 6.3 x 106 and leave your answers in standard form
- A. 1.7 x 103
- B. 1.70 x 103
- C. 1.701 x 103
- D. 17.01 x 103