1ST TERM

[admin]

REVISION QUESTIONS
1. Solve for x in the equation: log 2x + log 3 = 2log(6/5) (a) 6/25 (b) 39/25 (c) 39/50 (d) 1/5
2. Given that (8y5 x py6) = 4y6 , find the value of q when p = 2 (a) 3 (b) 7 (c) 15 (d) 17
3. Solve the equation 27 = 85 – x (a) 5/8 (b) 8/3 (c) 3/2 (d) 15/4
4. If (1/4)2 –y = 1, find y (a) -2 (b) - ½ (c) ½ (d) 2
5. If logq p = r , express p in term of q and r. (a) p = qr (b) p = rq (c) p = r/q (d) p = qr
6. Simplify Log 8 (a) log ½ (b) ¾ (c) log 1 (d) 4/3
Log 16 log 2
7. Given that 81 x 22n – 2 = k, find k (a)4.5x 2n (b) 4.5 x 22n (c) 9 x 2 n-1 (d) 9 x 2 2n
8.Solve the equation 5x2 = 7x + 6 ( a) - 3/5, 2 (b) -2 , 3/5 (c) ½ , 1 2/3 (d) -1 2/3 , - ½
9. The sum of two numbers is 8, their product is 15, find the numbers (a) -2 and 4 (b ) 3 and 5 (c) 3 and -5 (d) -3 and 5
10. The perimeter of a rectangular lawn is 32m while the area is 60m2. Find the breadth of the lawn (a ) 6 and 10 (b) -6 and 10 (c) 6 and -10 (d) -6 and 6
11. The height of an Isoscelences triangle is 4cm. Find the length of the base, if the other sides are 5cm long (a) 3cm (b) 4cm (c) 5cm (d) 6cm
12. A cylinder has diameter 14cm and height 11cm. Calculate the curved surface area of the cylinder. (Take ∏ = 22/7) (a) 484cm2 (b) 792cm2 (c) 968cm2 (d)1,694cm2
13.P varies directly as the square of Q . If P = 3 when Q = 2, find Q when P = 27 (a) 6 (b) 4 ½ (c) 4 1/3 (d) 1
14. If (25)x-1 = 64(5/2)6, then x has the value (a) 7 (b) 4 (c) 32 (d) 64
15. If log 2 = 0.3010, the value of log10 80 is (a) 1.6020 (b) 1.9030 (c) 3.9030 (d) None of these
16. Find the value of log10 (1/40), given that Log 10 4 = 0.6021 (a) 1.3979 (b) 2.3979 (c) 1.6021 (d) 2.6021
17. Simplify Log 10 8 (a) log 10 2 (b) log10 4 (c) 3/2 (d) None of the above
Log10 4
18. Find the values of x for which 2x – 1 (a) 3 or 4 (b) -3 or -4 (c) 3 or -4 (d) -3 or 4.
X2 – x – 12
19. What is the probability that a total sum of seven would appear in two tosses of a fair die ? (a) 5/36 (b) 1/6 (c) 7/36 (d) 1/26
20. Solve the equation 5x2 = 7x + 6 (a) -3/5 ,2 (b) -2, 3/5 (c) ½ , 1 2/3 (d) -1 2/3 , - ½
THEORY
ANSWER ANY THREE QUESTIONS IN THIS SECTION
1. Solve the following logarithm equations
(a) Log 3x + log 6 = log 24
(b) Log n2 – log 25 = 3
(c) Log 2x + log 3 = 2log (6/5)
(d) Log2x2 + log 2 16 = 12
2. The perimeter of a rectangular lawn is 32m while the area is 60m2. Find the breadth of the lawn
3. (a) Find the surface area of a hemisphere of radius 10cm
(b) A sphere has radius 1.8m. Find its volume and surface area
(c) A sphere has a surface area of 72cm2. Find (i) the radius (ii) the volume
4. (a) Let A be at (600S and 200E) and B be at (600S and 1600W) . Find the distance between A and B along a circle of Latitude
(b). Let A and B be at (100N , 50E) and (100N , 250W). Find the distance between A and B along a circle of latitude..