- 1. A circle, centre O, radius 5cm is drawn on a sheet of paper. A point P moves on the paper so that it is always 2cm from the circle. The locus of p is --------
A) a circle, centre O, radius 3.5cm.
B) two cicles, centre O, radii 3cm and 7cm.
C) a circle, centre O, radius 6cm.
D) a circle, centre O, radius 3cm.
- 2. What is the value of 5 ÷ 3 (mod 4)?
A) No values
B) 0
C) 3
D) 1
- 3. A prism of cross sectional area 18cm² has a volume of 72cm³. What is the height of the prism?
A) 3cm
B) 4cm
C) 6cm
D) 2cm
- 4. R varies directly with "t"and inversely with.m. Which of the above is the relationship between R, t and m, kbeing a constant?
A) B
B) D
C) C
D) A
- 5. (2x+3) is a factor of 6x2+x-12. The other factor is--------
A) (x+6)
B) (2x-3)
C) (3x+4)
D) (3x-4)
- 6. The variance of a given distribution is 25. What is the standard deviation?
A) 5
B) 125
C) 75
D) 25
- 7. Point X, Y and Z are located in the same horizontal plane such that Y is 12km north of X and Z is on a bearing of 270 degrees from X. if |XZ|=6km, Calculate correct to one decimal place, |YZ|
A) 10.4km
B) 13.4km
C) 13km
D) 18km
- 8. The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm2, find the perpendicular distance between the parallel sides.
A) 5cm
B) 10cm
C) 15cm
D) 7cm
- 9. A diagonal of a rectangle is 4cm long and makes an angle of 60° with one side. Which of these is the length, in cm, of the longest side of the rectangle?
A) B
B) D
C) A
D) C
- 10. A bag contains 3 red and 2 white identical balls. if two balls are picked at random from the bag, one after the other and with replacement, find the probability that they are of different colours.
A) 12/25
B) 13/25
C) 36/625
D) 16/625
- 11. Given that p=2, q=-5 and r=-4, evaluate 3p2-q2-r3.
A) 101
B) -27
C) 77
D) 51
- 12. Find the mean deviation of 6, 7, 8,9,10
A) 1.5
B) 8
C) 2
D) 1.2
- 13. The angles of a pentagon are shown. What is the value of x?
A) 80°
B) 30°
C) 60°
D) 50°
A) 4/5.
B) 8/5
C) 8/125.
D) 2/5.
- 15. Consider the following statements:
“ if one works hard one must pass one’s examination.”
Which of the following is a valid conclusion from the statement?
A) Yola is hardworking and so his teacher must like him.
B) Ama is not hardworking and so must fail his examination.
C) John is hardworking and so must pass his examination with distinction.
D) Ade did not pass his examination so he did not work hard.
- 16. Given that x+y=7 and 3x-y=5, evaluate (y/2)-3
A) 3
B) -1
C) 4
D) 1
- 17. What is the value of the expression shown?
A) 3/5.
B) 2/5.
C) 12/125.
D) 9/10.
- 18. What is the quadratic equation whose roots are -1/2 and 2/3?
A) 6x2-x+2=0
B) 6x2+x+2=0
C) 6x2-x-2=0
D) 6x2+x-2=0
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