If logax = p, express x in terms of a and p
- A. x = u + p
- B. x = a/p
- C. x = p
- D. x = ap
- E. x = ap
A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]
- A. 11.25cm2
- B. 12.83cm2
- C. 22.0cm2
- D. 67.2cm2
- E. 90.2cm2
Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?
- A. (0,6), (3,9)
- B. (-3, 0)(2,4)
- C. (-2,4)(3,9)
- D. (-2,3)(-3,2)
- E. (-2,2)(3,6)
In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x
- A. 55o
- B. 40o
- C. 35o
- D. 25o
- E. 20o
The angle of a sector of a circle of diameter 8cm is 135°. Find the area of the sector [Take \(\pi\) = 22/7].
- A. \(9\frac{3}{7}cm^2\)
- B. \(12\frac{4}{7}cm^2\)
- C. \(18\frac{6}{7}cm^2\)
- D. \(25\frac{1}{7}cm^2\)
The table above gives the scores of a group of students in an English Language test
If a student is chosen at random from the group, what is the probability that the scored at least 6 marks?
- A. 3/20
- B. 1/5
- C. 1/4
- D. 3/10
- E. 3/4
Find the volume of a cone of radius 3.5cm and vertical height 12cm [Take π = 22/7]
- A. 3.4cm3
- B. 15.5cm3
- C. 21.0cm3
- D. 42.0cm3
- E. 154.0cm3
With reference to the graph above, which of the following solution sets is represented by ΔOPQ?
- A. y ≥ x, y ≤ 0, y + x ≥ 7
- B. y ≤ x, y ≥ 0, y + x ≤ 7
- C. y ≥ x, y ≥ 0, y + x ≤ 7
- D. y ≤ x, y ≤ 0, y + x ≤ 7
- E. y ≤ x, y ≥ 0, y + x ≥ 7
In the diagram above, what is the size of angle ACB?
- A. 40o
- B. 50o
- C. 60o
- D. 80o
- E. 100o
Simplify \(\frac{9^{-\frac{1}{2}}}{27^{\frac{2}{3}}}\)
- A. 1
- B. 1/3
- C. 1/9
- D. 1/18
- E. 1/27
In the diagram above O is the center of the circle, if ∠PAQ = 75o, what is the value of ∠PBQ?
- A. 15o
- B. 75o
- C. 105o
- D. 150o
- E. 210o
For a class of 30 students, the scores in a Mathematics test out of 10 marks were as follows;
4,5,7,2,3,6,5,5,8,9,5,4,2,3,7,9,8,7,7,7,3,4,5,5,2,3,6,7,7,2
What is the range of the distribution?
- A. 2
- B. 7
- C. 8
- D. 9
- E. 10
For a class of 30 students, the scores in a Mathematics test out of 10 marks were as follows;
4,5,7,2,3,6,5,5,8,9,5,4,2,3,7,9,8,7,7,7,3,4,5,5,2,3,6,7,7,2
What is the median score?
- A. 2
- B. 7
- C. 8
- D. 9
- E. 10
For a class of 30 students, the scores in a Mathematics test out of 10 marks were as follows;
4,5,7,2,3,6,5,5,8,9,5,4,2,3,7,9,8,7,7,7,3,4,5,5,2,3,6,7,7,2
What is the mode of the score
- A. 3
- B. 4
- C. 5
- D. 6
- E. 7
If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)
- A. {a,b,c,d}
- B. {a,b,c,d,e}
- C. {a,b,c,d,e,f}
- D. {a,b,c}
- E. Φ
What percentage of the population are married? correct to one decimal place
- A. 14.8%
- B. 20.4%
- C. 30.5%
- D. 35.2%
- E. 36.5%
What angle represents grown up girls ? Correct to one decimal place
- A. 37.5o
- B. 26.7o
- C. 25.7o
- D. 20o
- E. 3.75o
Solve the following equation: 6x\(^2\) – 7x – 5 = 0
- A. x = 1/2 or x = -21/2
- B. x = 1/3 or x = 21/2
- C. x = 1 2/3 or x = -1/2
- D. x = 12/3 or x = 1/2
- E. x = 5/6 or x = -1
Calculate the surface area of a hallow cylinder which is closed at one end, if the base radius is 3.5cm and the height 8cm.[take π = 22/7]
- A. 126.5cm2
- B. 165cm2
- C. 176cm2
- D. 214.5cm2
- E. 253.5cm2
In the diagram above, O is the center of the circle. Calculate the length of the chord AB if |OA| = 5cm, |OD| = 3cm and ∠AOD = ∠BOD
- A. 3cm
- B. 4cm
- C. 5cm
- D. 8cm
- E. 15cm
Points X and Y are respectively 20km North and 9km East of a point O. What is the bearing of Y from X? Correct to the nearest degree
- A. 024o
- B. 114o
- C. 156o
- D. 204o
- E. 336o