In the diagram, |QR| = 10cm, PR⊥QS, angle PSR = 30° and angle PQR = 45°. Calculate in meters |QS|
- A. \(10(1+\sqrt{3})\)
- B. \(20\sqrt{3}\)
- C. \(10\sqrt{3}\)
- D. \((10+\sqrt{3})\)
In the diagram, \(\bar{PS}\hspace{1mm} and \hspace{1mm}\bar{QT}\) are two altitudes of ∆PQR. Which of the following is equal to ∠RQT?
- A. ∠PQT
- B. ∠SRP
- C. ∠PQR
- D. ∠SPR
In the diagram, calculate the value of x
- A. 35o
- B. 80o
- C. 100o
- D. 115o
In the diagram, QRT is a straight line. If angle PTR = 90°, angle PRT = 60°, angle PQR = 30° and |PQ| = \(6\sqrt{3}cm\), calculate |RT|
- A. 0.3cm
- B. \(\frac{\sqrt{3}}{2}cm\)
- C. 3cm
- D. \(3\sqrt{3}cm\)
If q oranges are sold for t Naira, how many oranges can be bought for p naira?
- A. \(\frac{p}{2}t\)
- B. \(\frac{qt}{p}\)
- C. \(\frac{q}{pt}\)
- D. \(\frac{pq}{t}\)
Factorize m(2a-b)-2n(b-2a)
- A. (2a-b)(2n-m)
- B. (2a+b)(m-2n)
- C. (2a-b)(m+2n)
- D. (2a-b)(m-2n)
Simplify \(3\sqrt{12} + 10\sqrt{3} – \frac{6}{\sqrt{3}}\)
- A. \(7\sqrt{3}\)
- B. \(10\sqrt{3}\)
- C. \(14\sqrt{3}\)
- D. \(18\sqrt{3}\)
The volume of a cylinder of radius 14cm is 210cm3. What is the curved surface area of the cylinder?
- A. 15cm2
- B. 30cm2
- C. 616cm2
- D. 1262cm2
The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.
- A. 35.75m
- B. 25.00m
- C. 22.98m
- D. 19.28
In the diagram, |SR| = |RQ| and ∠PRQ = 58o ∠VQT = 19o, PQT, SQV and PSR are straight lines. Find ∠QPS
- A. 42o
- B. 39o
- C. 38o
- D. 30o
Simplify \(\frac{2^{\frac{1}{2}}\times 8^{\frac{1}{2}}}{4}\)
- A. 1
- B. 2
- C. 4
- D. 16
In the diagram O is the centre of the circle. Which of the following is/are not true? I. a = b II. b + c = 180o III. a + b = c
- A. I and II only
- B. II and III only
- C. II only
- D. III only
In the diagram O and O’ are the centres of the circles radii 15cm and 8cm respectively. If PQ = 12cm, find |OO’|.
- A. 8.46cm
- B. 19.04cm
- C. 20.81cm
- D. 26.16cm
The upper quartile of the distribution is
- A. 30
- B. 27.5
- C. 25
- D. 17.75
A number is selected at random from the set Y = {18, 19, 20, . . . 28, 29}. Find the probability that the number is prime.
- A. \(\frac{1}{4}\)
- B. \(\frac{3}{11}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{3}{4}\)
The base diameter of a cone is 14cm, and its volume is 462 cm3. Find its height. [Taken \(\pi = \frac{22}{7}\)]
- A. 3.5cm
- B. 5cm
- C. 7cm
- D. 9cm
The lengths of the parallel sides of a trapezium are 9 cm and 12 cm. lf the area of the trapezium is 105 cm2, find the perpendicular distance between the parallel sides.
- A. 5cm
- B. 7cm
- C. 10cm
- D. 15cm
Simplify \(\frac{1}{1-x} + \frac{2}{1+x}\)
- A. \(\frac{x+3}{1-x^2}\)
- B. \(\frac{x-3}{1+x^2}\)
- C. \(\frac{3-x}{1-x^2}\)
- D. \(\frac{3-x}{1+x^2}\)
For what values of x is the expression \(\frac{3x-2}{4x^2+9x-9}\) undefined?
- A. \(\frac{-3}{4} \hspace{1mm}or \hspace{1mm}3\)
- B. \(\frac{-2}{3} \hspace{1mm}or \hspace{1mm}-3\)
- C. \(\frac{2}{3} \hspace{1mm}or \hspace{1mm}3\)
- D. \(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)