2. What is the perimeter of the triangle vertices A(3, 2), B(3, 5) AND (6, 2)

A. 6 + 3√2
B. 6+2√3
C. 2+√10
D. 3+√2

3. What is the result of subtracting 142567 from 20045₇?

A. 5328₇
B. 5640₇
C. 2456₇
D. 2546₇

4. Convert 10111.11₂ to a number in base 10

A. 23.75₁₀
B. 15.23₁₀
C. 15.75₁₀
D. 75.23₁₀

5. Evaluate (8+√28)/(2+√7)

A. (4-2√3)/3
B. (4√3+2)/3
C. (-4√3-2)/3
D. (4√7-2)/3

6. If the total sum of interior angles of a regular polygon with n sides is 1260. Calculate the value of one interior angle

A. 120⁰
B. 126⁰
C. 140⁰
D. 146⁰

7. The sum to infinity of a Geometric progression (G.P) is 100. If the common ratio is – ½ , find the first term

A. 150
B. 200/3
C. 150/3
D. 133.33

8. A goat tied with a rope to a wooden pole is grazing in a field. If the length of the rope is 6m and the goat makes from one point to another an arc with an angle of 700. Find the area of the grazing portion of the goat.

A. 21m
B. 22m
C. 20m
D. 24m

9. The average age of 4 female teachers in a school is 40, and the average of 8 male teachers in the school is 25. What is the average age of all the teachers in school?

A. 28
B. 25
C. 30
D. 31

10. A committee of 3 men and 3 women is to be formed from a group of 5 men and 3 women. How many different ways can this committee be formed?

A. 30
B. 20
C. 10
D. 150

11. Find the mean deviation of the set of numbers 2,5, (c+2),7,(c+1).if their mean is equal to 6.

A. 2.0
B. 2.4
C. 1.6
D. 2.2

12. (diagram)The pie chart shows the domestic expenditure of a household in a month. If the total monthly income of the household is #120,000, what is the total amount per month the household spends on food and medical combined?

A. 76,000
B. 66,000
C. 65,000
D. 48,000

13. Find the value of x if the determinant of ■(5&x @3&x)is 14

A. 7
B. 4
C. 28
D. 3

14. Simplify 51/2 - (3 1¦3 x2 1¦4) + 1/2

A. 1/2
B. 3/5
C. - 1/2
D. -1 1/2

15. What is the equivalent of 41043 in octal?

A. 117₈
B. 171₈
C. 1171₈
D. 1711₈

16. Integrate (2x+1)/2x with respect to x

A.x+1/2 ln⁡|x|+c
B.1+1/2x+c
C.x+2ln 1/2x|x|+c
D.x+ln⁡|2x|+c

17. If #225 yields #27 simple interest in x years at the rate of 4% per annum, find x.

A. 1 year
B. 2 years
C. 3 years
D. 4 years

18. If 121_three – X_three = 11_three find X

A. 1101₃
B. 101₃
C. 11₃
D. 110₃

19. The midpoint of two points (m, 6) and (6, n) is (5, 0). Find the values of m and n respectively

A. (4, 1)
B. (-4, 6)
C. (4, -6)
D. (-6, 4)

20. The 3rd and 6th terms of a geometrical progression (G.P) are 108 and 32 respectively. Find the common ration

A. ∓1/3
B. ∓2/5
C. ∓1/2
D. ∓2/3

21. Find the positive value of k if the standard deviation of the data 2k, 3k, 5k, 4k and 6k is √2

A. 1
B. 0.5
C. 3
D. 4

22. Find the equation of the line through (5, 7) and parallel to the line 7x + 5y = 12.

A. 5x + 7y = 20
B. 7x + 5y = 70
C. Xy = 7
D. 15x + 17y = 9

23. A cylindrical container has radius of 3cm and height 12cm. calculate its total surface area with both ends closed. (π=22/7)

A. 251.88cm²
B. 94.29cm²
C. 282.86cm²
D. 88.32cm²

24. The ratio of the exterior angle to the interior angle of a regular polygon is 1:19. How many sides ha the polygon?

A. 30
B. 40
C. 36
D. 38

25. is picked at random from the bag, what is the chance that it is red or green?

A. 189/225
B. 11/225
C. 8/15
D. 11/15