Solve the equation: \(\frac{3}{[2(x – 2)]} – \frac{2}{[3(2 – x)]} = 0\)
- A. 3
- B. 2
- C. \(\frac{3}{2}\)
- D. \(\frac{2}{3}\)
- E. -3
The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?
- A. 64
- B. 48
- C. 43
- D. 24
- E. 11
Divide the LCM of 15abc and 20a\(^2\)bc by their HCF
- A. 10a
- B. 12a
- C. 5abc
- D. 12a2bc
- E. 60a2bc
Simplify \((216^{{\frac{1}{3}}})^{-2}\)
- A. \(\frac{1}{36}\)
- B. \(\frac{1}{18}\)
- C. \(\frac{1}{13}\)
- D. \(\frac{1}{6}\)
- E. \(\frac{1}{3}\)
The expression 4x2 – 4 has the following as its factors EXCEPT
- A. x - 1
- B. x + 1
- C. x2 -1
- D. 4x + 1
- E. 4x - 4
Calculate (0.05 Γ 0.025) Γ· (4.25 Γ 3.35) and express your answer in standard form
- A. 8.7796 Γ 105
- B. 8.7796 Γ 104
- C. 8.7796 Γ 103
- D. 8.7796 Γ 10-3
- E. 8.7796 Γ 10-5
The angle subtended by a diameter of a circle at the circumference is a/an
- A. acute angle
- B. obtuse angle
- C. reflex angle
- D. right angle
- E. supplementary angle
If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?
- A. 2
- B. 4
- C. 6
- D. 8
- E. 10
Find the area of a triangle ABC such that a = 16cm, b = 14cm, c = 12cm, leave your answer in surd form
- A. 5\(\sqrt{15}\)cm2
- B. 7\(\sqrt{15}\)cm2
- C. 21\(\sqrt{3}\)cm2
- D. 21\(\sqrt{5}\)cm2
- E. 21\(\sqrt{15}\)cm2
Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) – \(111_{two}\)
- A. 10001\(_{two}\)
- B. 11001\(_{two}\)
- C. 110001\(_{two}\)
- D. 11010\(_{two}\)
- E. 10001\(_{two}\)
If y varies inversely as x2, how does x vary with y?
- A. x varies inversely as y2
- B. x varies inversely as \(\sqrt{y}\)
- C. x varies directly as y2
- D. x varies directly as \(\sqrt{y}\)
- E. x varies directly as y
The nth term of a sequence is given as \(4 \times 3^{(3 – n)}\). Calculate the third term.
- A. 12
- B. 32
- C. 4
- D. 3
- E. 1
Two angles of a triangle are 45ΒΊ each and its longest side is 12cm. Find the length of one of the other sides
- A. 12cm
- B. 9\(\sqrt{2}\)cm
- C. 6\(\sqrt{2}\)cm
- D. 6cm
- E. 3\(\sqrt{2}\)cm
Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (Ο = \(\frac{22}{5}\))
- A. 12.8cm2
- B. 25.7cm2
- C. 77.0cm2
- D. 154.0cm2
- E. 179.7cm2