Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5
- A. 2y - x = 4
- B. y + 2x = 3
- C. y + 2x = 5
- D. 2y - x = 2
Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the
- A. perpendicular bisector of PQ
- B. perpendicular bisector of ST
- C. bisector of the angles between lines PQ and ST
- D. bisector of the angles between lines PT and QS
Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm
- A. 25 πcm2
- B. 65 πcm2
- C. 120 πcm2
- D. 156 πcm2
A sector of a circle has an area of 55 cm2. If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]
- A. 45o
- B. 63o
- C. 75o
- D. 90o
In the diagram above, O is the center of the circle,
∠UOT = 70º and ∠RST = 100º. Calculate ∠RUO.
- A. 20o
- B. 25o
- C. 50o
- D. 80o
The sum of the interior angle of a regular polygon is 1800o. Calculate the size of one exterior angle of the polygon
- A. 30o
- B. 24o
- C. 18o
- D. 12o
Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52o and ∠LOH = 85o, calculate the size of ∠EOG.
- A. 26o
- B. 43o
- C. 52o
- D. 85o
In the diagram above calculate the value of x
- A. 60o
- B. 100o
- C. 120o
- D. 140o
An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity element
- A. 2
- B. 1
- C. -1
- D. -2
Find the sum of the first 20 terms of the series 8, 12, 16, ….., 96
- A. 1400
- B. 1040
- C. 960
- D. 920
If the 7th term of an AP is twice the third term and the sum of the first four terms is 42, find the common difference.
- A. 6
- B. 3
- C. 2
- D. 1
The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\geq\) 0
- A. x \(\leq\) 2
- B. 0 \(\leq\) x \(\leq\) 2
- C. -2 \(\leq\) x \(\leq\) 0, x \(\geq\) 2
- D. x \(\leq\) -2, 0 \(\leq\) x \(\leq\) 2
Find the range of values of x for which 7x – 3 > 25 + 3x
- A. x >7
- B. x<7
- C. x>-7
- D. x<-7
The weight W kg of a metal bar varies jointly as its length L meters and the square of its diameter d meters. If w = 140 when d = 42/3 and L = 54, find d in terms of W and L.
- A. \(\sqrt{\frac{42W}{5L}}\)
- B. \(\sqrt{\frac{6L}{42W}}\)
- C. \(\frac{42W}{5L}\)
- D. \(\frac{5L}{42W}\)
The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?
- A. 20
- B. 35
- C. 45
- D. 60
A polynomial in x whose zeros are -2, -1 and 3 is
- A. x3 - 7x + 6
- B. x3 + 7x - 6
- C. x3 + 7x + 6
- D. x3 - 7x - 6
If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r)
- A. 19.50
- B. 19.15
- C. 18.95
- D. 18.05
The venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?
- A. 19
- B. 16
- C. 15
- D. 4
If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5
- A. 0.9542
- B. 0.6532
- C. 0.4771
- D. 0.3010
Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)
- A. 3
- B. 1
- C. 1/3
- D. 1/8