1ST TERM

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REVISION QUESTIONS
1. Factorise 16x2y – 24x3y3 (a) 8x2y(2 – 3xy2) (b) 4x2(4y – 6xy3) (c) 2xy(8x – 12x2y2) (d) 8(2x2y – 3x3y3)

2. Calculate the length of the diagonal of a square whose area is pcm2 (a) p (b) 2 p (c) p 2 (d) 2p

3. If 3log a – 6log a = log 64 what is a? (a) 4 (b) 6 (c.) 8 (d) 16

4. If 5 times a certain integer is subtracted from twice the square of the integer, the result is 63. Find the integer. (a) 21 (b) 9 (c.) 7 (d) 4

5. Calculate the surface area of a hollow cylinder which is closed at one end, if the base radius is 3.5cm and the height 8cm (Take ∏ 22/7) (a) 126.5cm2 (b) 165cm2 (c) 176cm2 (d) 214.5cm2.

6. 1/3 of 4/5 of a certain number is 3. Find the number correct to 3 significant figures.
(a) 3.75 (b) 3.80 (c.) 11.25 (d)11.3

7. Lena bought 400 Alpha Company shares at #1.50 each and sold them at #2.05 each. What was her gain? (a) #0.55 (b) 220.00 (c) #200.00 (d) #420.00

8. In an A.P., the first term is 2, and the sum of the 1st and 6th terms is 16 ½. What is the 4th term?
(a) 12 (b) 9 ½ (c)8 (d) 7

9. A trader sold a pair of shoes for C 2,800.00 making a loss of 20% on his cost price. Find his loss as a percentage of his selling price (a) 16 2/3% (b) 20% (c.) 25% (d) 75%

10. The first term of a G.P is 6. If its common ratio is 2, find the 6th term (a) 60 (b) 72 (c) 96 (d) 192

11. A money lender collects s200 simple interest on a capital after 2years at 5%. Calculate the capital invested (a) s 1,000.00 (b) s2,000.00 (c) s3,000.00 (d) s4,000.00

12. Ladi sold a car for #84,000.00 at a loss of 4%. How much did Ladi buy the car?. (a) #80,500.00 (b) #80,640.00 (c) #87,360.00 (d) #87,500.00

13. Correct 0.04945 to two significant figures (a) 0.040 (b) 0.049 (c) 0.050 (d) 0.049

14. The total surface area of the walls of a room, 7m long, 5m wide and xm high is 96m2. Find the value of x (a) 2/3 (b) 2 (c) 4 (d) 8

15. Simplify (0.3 x 105) ÷ (0.4 x 107), leaving your answer in the standard form (a) 7.5 x 10-4 (b) 7.5 x 10-3 (c) 7.5 x 10-2 (d) 7.5 x 10-1

16. A trader bought 100 tubers of yam at 5 for #350.00. She sold them in sets of 4 for #290.00. Find her gain percent (a) 3.6% (b) 3.5% (c) 3.4% (d) 2.5%

17. Express the square root of 0.000144 in standard form (a) 1.2 x 10-4 (b) 1.2 x10-3 (c) 1.2 x 10-2 (d) 1.2 x 10-1

18. The nth term of a sequence is represented by 3 x2(2-n). Write down the first three terms of the sequence (a) 3/2, 3, 6 (b) 6,3,3/2 (c) 3/2, 3 ,1/3 (d) 2/3 , 3, 8/3

19. A trader makes a loss of 15% when selling an article. Find the ratio, selling price: cost price(a) 3:20 (b) 3:17 (c) 17:20 (d) 20:23

20. A boy estimated his transport fare for a journey as #190 instead of #200. Find the percentage error in this estimate (a) 95% (b) 47.5% (c) 5.26% (d) 5%

THEORY
ANSWER ANY TWO QUESTIONS, Number 3 IS COMPULSORY AND ANY OTHER ONE
1a. A man underestimated his expenses by 6.5%, but actually spent #400.00 . What was his estimate?

b. Correct the following to 2 significant figures (i) 0.0000086439 (ii) 426009

c.. Simplify 17. 36 x 4.65

2a. Evaluate by using logarithm tables [sup]16.82 x 0.00635[/sup]/[sub]0.04822[/sub] correct to three significant figures.

b
Using logarithm table, evaluate [sup]3 1.376[/sup] /[sub]5 0.007[/sub] correct to three significant figure.

3ai.The 14th term of an A.P is 96 while 25th term is 173. Find the
(a) 19th term
(b) Sum of 13th and 56th terms
(c) Product of 6th and 13th terms
aii. Find the sum of the first 25 terms of the sequence 11,15,19, 23, 27.....

3bi. The 3rd and 9th terms od a G.P are 54 and 39,366 respectively. Find the
(a) 6th
(b) Sum of the 4th and 7th terms
(c) Product of 2nd and 5th terms

Bii The sum of infinity of geometric progression is 18. If the first term is 1/3, find the common ratio.

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PRACTICE TEST