In the diagram, PQRS is a parallelogram and ∠QRT = 30o. Find x
- A. 95o
- B. 100o
- C. 120o
- D. 150o
In the diagram PQ and MN are straight lines. Find the value of x
- A. 13o
- B. 17o
- C. 28o
- D. 30o
The probability that John and James pass an examination are 3/4 and 3/5 respectively, find the probability of both boys failing the examination
- A. \(\frac{1}{10}\)
- B. \(\frac{3}{10}\)
- C. \(\frac{9}{20}\)
- D. \(\frac{11}{20}\)
The lengths of the adjacent sides of a right – angled triangle are xcm, (x-1)cm. If the length of the hypotenuse is \(\sqrt{13}cm\), find the value of x
- A. 2
- B. 3
- C. 4
- D. 5
Make f the subject of the relation \(v = u + ft\)
- A. \(\frac{v-u}{t}\)
- B. \(\frac{u-v}{t}\)
- C. \(t(v+u\)
- D. \(\frac{v}{u}-t\)
expand (2x-3y)(x-5y)
- A. \(2x^2 + 13xy - 15y^2\)
- B. \(2x^2 - 13xy - 15y^2\)
- C. \(2x^2 + 13xy + 15y^2\)
- D. \(2x^2 - 13xy + 15y^2\)
Solve the equation \(2^7 = 8^{5-x}\)
- A. \(\frac{5}{8}\)
- B. \(\frac{8}{3}\)
- C. \(\frac{3}{2}\)
- D. \(\frac{15}{4}\)
In the diagram, PR is a diameter, ∠PRQ = (3x-8)o and ∠RPQ = (2y-7)o. s x in terms of y
- A. \(x=\frac{75-2y}{3}\)
- B. \(x=\frac{105-3y}{2}\)
- C. \(x=\frac{105-2y}{3}\)
- D. \(x=\frac{75-3y}{2}\)
In the diagram, KL//MN, ∠LKP = 30o and ∠NMP = 45o. Find the size of the reflex ∠KPM.
- A. 285o
- B. 255o
- C. 225o
- D. 210o
A fair die is tossed once, what is the probability of obtaining neither 5 or 2
- A. \(\frac{5}{6}\)
- B. \(\frac{2}{3}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{1}{6}\)
From a point P, R is 5km due west and 12km due south. Find the distance between P and R
- A. 5km
- B. 12km
- C. 13km
- D. 17km
A man bought 220 mangoes at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x
- A. 2
- B. 5
- C. 6
- D. 10
Find the equation whose roots are 2 and \(-3\frac{1}{2}\)
- A. 2x2 + 3x + 14 = 0
- B. 2x2 + 5x + 7 = 0
- C. 2x2 + 5x - 7 = 0
- D. 2x2 + 3x - 14 = 0
Simplify the expression \(log_{10}18 – log_{10}2.88+log_{10}16\)
- A. 31.12
- B. 3.112
- C. 2
- D. 1
Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)
- A. 33
- B. 8
- C. 7
- D. o
Simplify \(\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}\)
- A. \(\frac{1}{6}(5\sqrt{3}-3\sqrt{2}\)
- B. \(\frac{1}{6}(15\sqrt{3}-6\sqrt{2}\)
- C. \(\frac{1}{6}(3\sqrt{2}-\sqrt{3}\)
- D. \(\frac{1}{6}(10\sqrt{3}-9\sqrt{2}\)
Correct 0.04945 to two significant figures
- A. 0.040
- B. 0.049
- C. 0.050
- D. 0.49