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Form 2 Mathematics Revision Questions and Answers Set 2
Factorize completely
a
3
+
a
2
b
-
a
b
2
-
b
3
2
a
b
-
a
2
-
b
2
(4m 3s)
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1.
Use logarithm tables to evaluate
0.0368
×
43.92
361.8
2.
Evaluate:
11
6
×
3
4
-
11
12
1
2
o
f
5
6
3.
A regular octagon has sides of 8 cm. Calculate its area to 3 significant figures
4.
A train is moving towards a town with a velocity of 10 m/s. It gains speed and the velocity becomes 34 m/s after 10 minutes. Find its acceleration
5.
Use reciprocal tables to evaluate to 3 decimal place.
2
0.321
-
1
2.2
6.
The cost of 5 shirts and 3 blouses is sh 1750. Martha bought 3 shirts and one blouse for shillings 850. Find the cost of each shirt and each blouse.
7.
Find the equation of the line perpendicular to the line 4x-y = -5 and passing through the point (-3,-2).
8.
A frustrum of height 10cm is cut off from a cone of height 30cm. If the volume of the cone before cutting is
270
c
m
3
, find the volume of the frustrum.
9.
If one litre of water has a mass of 1000g, calculate the mass of water that can be held in a rectangular tank measuring 2m by 3m by 1.5m. (Give your answer in tonnes).
10.
A salesman gets a commission of 4% on sales of upto shs 200,000 and an additional 2% on sales above this. If in January he got shs 12,200 as commission, what were his total sales?
11.
Under an enlargement of linear scale factor 7, the area of a circle becomes
441
π
Determine the radius of the original circle.
12.
The interior angles of a regular polygon are each
172
0
. Find the number of sides the polygon has.
13.
Using a pair compasses only construct a triangle A B C in which A B= 4.6 cm, B C= 5.4 cm and angle ABC =
75
0
. Measure A C.
14.
Water and alcohol is mixed in the ratio 1:4. Find the density of the mixture if the density of water is 1g/
c
m
3
and that of alcohol is 0.8 g/
c
m
3
.
15.
Find the equation of the line through the points A (1, 3) and B (2, 8)
16.
Determine the equation of a line with gradient 3, passing through the point (1, 5).
17.
Find the y intercept given that; y = 2x + 10
18.
In a right angle triangle, the two shorter sides are 6 cm and 8 cm. Find the length of the hypotenuse.
19.
In triangle PQR,PQ is 5 cm and PR is 7 cm angle QPR is 50 .Find the area of the the triangle.
20.
Find the area of a triangle ABC in which AB = 5 cm, BC = 6 cm and AC =7 cm.
21.
Find the area of the figure below
22.
If the radius of a pentagon is 6 cm find its area.
23.
Find the area of a sector of a circle radius 3 cm, if the angle subtended at the Centre is given as
60
0
.
24.
The area of the sector of a circle is 38.5 cm. Find the radius of the circle if the angle subtended at the Centre is
90
0
25.
The area of a sector of a circle radius 63 cm is
4158
c
m
2
.Calculate the angle subtended at the Centre of the circle.
26.
In the figure below the shaded region is a segment of the circle with Centre O and radius 5cm. AB=8 cm, ON = 3 cm, Find the area of the shaded part.
27.
Find the area of the closed cylinder r =2.8 cm and h= 13 cm.
28.
Find the surface area of the cone below
29.
Find the surface area of a sphere whose diameter is equal to 21 cm
30.
Find the volume of the figure below.
31.
Calculate the volume of a cone whose height is 12 cm and length of the slant height is 13 cm
32.
Expand (m + 2n) (m-n)
33.
Factorize
6
x
2
–
34.
Solve
x^2 + 3x -54 =0
35.
A rectangular room is 4 m longer than it is wide. If its area is 12 find its dimensions.
36.
Solve for x
x – 1 gt 2
37.
Solve the inequality.
X + 3 lt 8
38.
Solve the inequality
1 -3x lt 4
39.
A man walks for 40 minutes at 60 km/hour, then travels for two hours in a minibus at 80 km/hour. Finally, he travels by bus for one hour at 60 km/h. Find his speed for the whole journey .
40.
A car moving in a given direction under constant acceleration. If its velocity at a certain time is 75 km /h and 10 seconds later its 90 km /hr.
41.
Thirty men working 8 hours per day take 15days to complete a certain job. How long would 20 men working 10 hours per day take to complete the same job?
42.
The sum of interior angles of two polygons is
1620^0
.Given that one polygon is one side less than the other, find the number of sides of each polygon.
43.
The volumes of two similar solid cylinders are
4752cm^3
and
1408cm^3
.If the area of the curved surface of the smaller cylinder is
352cm^2
,find the area of the curved surface of the larger cylinder.
44.
A train travelling at 60km/h leaves a station at 11:15p.m.Another train travelling at 55km/h leaves the same station at 11:45p.m.in the same direction as the first one. At what time will their distance apart be 45km?
45.
Factorize completely
(a^3+a^2 b-ab^2-b^3)/(2ab-a^2-b^2 )
46.
If
(16/9)^(-3x +2)=(3/4)^(2/3)
,Find the value of x.
47.
Evaluate:
(1/2 of 16-10+2(1/2 ÷1/4))/(1/3 times 3 3/4÷1/4)
48.
Solve for x in the equation
(27/8)^(x+7)-(4/9)^(-3x)
= 0
49.
A line passes through A (1,1) and B(x, y).The mid-point of AB is (3,5).If line BC is perpendicular to AB, find the equation of line BC.
50.
Solve the inequality below hence represent the solution in a number line
3+2xlt 3x -1le 2x +7
×
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