In the diagram P, Q, R, S are points on the circle RQS = 30o. PRS = 50o and PSQ = 20o. What is the value of xo + yo?
- A. 260o
- B. 130o
- C. 100o
- D. 80o
In the diagram, PR is a diameter of the circle centre O. RS is a tangent at R and QPR = 58o. Find < QRS
- A. 112o
- B. 116o
- C. 122o
- D. 148o
In the diagram, \(\frac{PQ}{RS}\), find xo + yo
- A. 360o
- B. 300o
- C. 270o
- D. 180o
In the diagram, |QR| = 5cm, PQR = 60o and PSR = 45o. Find |PS|, leaving your answe in surd form.
- A. 4\(\sqrt{5}\)cm
- B. 3\(\sqrt{7}\)cm
- C. 4\(\sqrt{6}\)cm
- D. 5\(\sqrt{6}\)cm
In the diagram, PQUV, PQTU, QRTU and QRST are parallelograms. |UV| = 4.8cm and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV
- A. 96cm2
- B. 72cm2
- C. 60cm2
- D. 24cm2
A ladder 16m long leans against an electric pole. If the ladder makes an angle of 65o with the ground, how far up the electric pole does its top reach
- A. 6.8m
- B. 14.5m
- C. 17.7m
- D. 34.3m
Simplify \(\frac{20}{5\sqrt{28} – 2 \sqrt{63}}\)
- A. \(\frac{5\sqrt{7}}{7}\)
- B. \(\frac{5\sqrt{5}}{7}\)
- C. \(\frac{7\sqrt{5}}{7}\)
- D. \(\frac{7\sqrt{7}}{5}\)
The temperature in a chemical plant was -5oC at 2.00 am. The temperature fell by 6oC and then rose again by 7oC. What was the final temperature?
- A. -6oC
- B. -4oC
- C. 4oC
- D. 8oC
Which of the following is not a measure of centre tendency?
- A. mean
- B. mode
- C. range
- D. median
A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangular floor. Calculate the area of the floor
- A. 30m2
- B. 57m2
- C. 120m2
- D. 225m2
The values of three angles at a point are 3y – 45o, y + 25o and yo . Find the value of y.
- A. 40o
- B. 58o
- C. 68o
- D. 76o
If p = {1, 3, 5, 7, 9} and Q = {2, 4, 6, 8, 10} are subsets of a universal set. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the elements of P1 \(\cap\) Q1?
- A. {1, 3, 5, 7, 9}
- B. [2, 4, 6, 8, 10}
- C. \(\varnothing\)
- D. {1, 2, 6, 8, 10}
The wheel of a tractor has a diameter 1.4m. What distance does it cover in 100 complete revolutions? [Take \(\pi = \frac{22}{7}\)]
- A. 140m
- B. 220m
- C. 280m
- D. 440m
A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price
- A. 1:4
- B. 1:5
- C. 3:4
- D. 4:5
If p = [\(\frac{Q(R – T)}{15}\)]\(^ \frac{1}{3}\), make T the subject of the relation
- A. T = R + \(\frac{P^3}{15Q}\)
- B. T = R - \(\frac{15P^3}{Q}\)
- C. T = R + \(\frac{P^3}{15Q}\)
- D. T = 15R - \(\frac{Q}{P^3}\)
a conical water-jug is 7cm in diameter and 6cm deep. find the volume of water it can hold. [Take \(\pi = \frac{22}{7}\)]
- A. 22cm2
- B. 44cm3
- C. 77cm3
- D. 3082
If loga270 – loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?
- A. 3
- B. 4
- C. 5
- D. 6
Which of these equations best describes the points of intersection of the curve and the line?
- A. \(x^2 + 5x - 6 = 0\)
- B. x2 - 5x - 6 = 0
- C. x2 + x - 6 = 0
- D. x2 - x - 6 = 0
If x + y = 12 and 3x – y = 20, find the value of 2x – y
- A. 8
- B. 10
- C. 12
- D. 15
If 2x + y = 10, and y \(\neq\) 0, which of the following is not a possible value of x?
- A. 4
- B. 5
- C. 8
- D. 10
A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?
- A. N16,200
- B. N1,4,200
- C. 12,000
- D. 8000.