14. Find the length of a side of a rhombus whose diagonals are 6cm and 8cm.

A.8cm

B.5cm

C. 4cm

D.3cm

15. Each of the interior angles of a regular polygon is 1400. How many sides has the polygon?

A.9

B.8

C.7

D.5

16. A cylindrical pipe, made of metal is 3cm, thick if the internal radius of the pipe is 10cm. Find the volume of metal used in making 3m of the pipe

A. 1531cm3

B. 2071mcm3

C. 15,300T1IcmM3

D. 20,700ncm3

17. If the height of two circular cylinders are in the ratio 2:3 and their base radii are in the ratio g. What is the ratio of their volume?

A. 27:32

B. 27:23

C. 23:32

D. 21:27

18. The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

A. perpendicular bisector of the two lines

B. angle bisector of the two lines

C. bisector of the two lines

D. line parallel to the two lines

19. 4, 16, 30, 20, 10, 14 and 26 are represented ona pie chart. Find the sum of the angles of the sectors representing all numbers equal to or greater than 16.

A. 480

B, 840

C. 920

D. 2760

20. The mean of ten positive numbers is 16. when another number is added, the mean becomes 18. find the eleventh number.

A. 3

B. 16

c.18

D. 30

21. Two numbers are removed at random fr the numbers 1,2,3 and 4. what is the probability that the sum of the numbers removed is even?

A. 2/3

B.%

C.1/3

D.%

22. Find the probability that a number selected at random from 41 to 56 is a multi of 9

A. 1/9

B. 2/15

C. 3/16

D. 7/8

23. Musa borrows #10.00 at 2° per month interest and repays #8.00 after 4 months. However much does he still owe?

A. #10.80

B. #10.67

C. #2.80

C. #2.67

24. If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?

A. 24/5%

B. 167/8%

C. 181/8%

D. 187/8°

25 What is the product of 27/5 (3)3 and (1/5)?

A. 5

B.3

C.1

D. 1/25

26. Simplify 2log2/5 log72/125 + logg

A.14log3

B. -1 + 2log3

C. -1 +5log2

D. 1-2log2

27. Acar travels from Calabar to Enugu, a distant of pkm with an average speed of ukm per hour and continues to Benin, a distance of qkm, with an average speed of wkm per hour. Find its average speed from Calabar to Benin.

A. (p+q)up+wa)

B. uw

C. uw(p+q)/iwptuq)

D. (wptuq)/(u+wa)

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28. If w varies inversely as uv/u + v and is equal to 8 when u = 2 and v= 6, finda relationship between u, v, w.

A. upw = 16(u + t)

B. 16ur = 3w(u + t)

C. upw = 12(u + t)

D. 12upw=u+r

29. If glx = x2 + 3x } find glx + 1) g(x)

A.(x+2)

B. a(x + 2)

C. (2x + 4)

D. (+4)

30. Factorize m3 m2-m+2

A. (me + 1)(m 2)

B.(m + a)(m + 1)(m + 2)

C. (m+ 1)m +1km 2)

D. (m2 + 2)(m 1)