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Form 2 Mathematics Revision Questions and Answers Set 2
Form 2 Mathematics Revision Questions and Answers Set 2
Lessons (
50
)
1.
Use logarithm tables to evaluate #(0.0368 times43.92)/(361.8)#
9m 16s
2.
Evaluate: #((11)/(6) times (3)/(4) -(11)/(12))/(1/(2) of 5/6)#
2m 55s
3.
A regular octagon has sides of 8 cm. Calculate its area to 3 significant figures
6m 30s
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
1m 11s
5.
Use reciprocal tables to evaluate to 3 decimal place. #2/0.321 - 1/2.2#
5m 48s
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.
4m 21s
7.
Find the equation of the line perpendicular to the line 4x-y = -5 and passing through the point (-3,-2).
3m 56s
8.
A frustrum of height 10cm is cut off from a cone of height 30cm. If the volume of the cone before cutting is #270cm^3# , find the volume of the frustrum.
3m 57s
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).
3m 1s
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?
2m 54s
11.
Under an enlargement of linear scale factor 7, the area of a circle becomes #441pi# Determine the radius of the original circle.
1m 57s
12.
The interior angles of a regular polygon are each #172^0#. Find the number of sides the polygon has.
1m 8s
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.
10m 39s
14.
Water and alcohol is mixed in the ratio 1:4. Find the density of the mixture if the density of water is 1g/#cm^3# and that of alcohol is 0.8 g/#cm^3#.
2m 29s
15.
Find the equation of the line through the points A (1, 3) and B (2, 8)
1m 46s
16.
Determine the equation of a line with gradient 3, passing through the point (1, 5).
0m 59s
17.
Find the y intercept given that; y = 2x + 10
0m 34s
18.
In a right angle triangle, the two shorter sides are 6 cm and 8 cm. Find the length of the hypotenuse.
1m 6s
19.
In triangle PQR,PQ is 5 cm and PR is 7 cm angle QPR is 50 .Find the area of the the triangle.
1m 46s
20.
Find the area of a triangle ABC in which AB = 5 cm, BC = 6 cm and AC =7 cm.
2m 2s
21.
Find the area of the figure below
1m 3s
22.
If the radius of a pentagon is 6 cm find its area.
2m 23s
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#.
1m 22s
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#
2m 2s
25.
The area of a sector of a circle radius 63 cm is #4158 cm^2# .Calculate the angle subtended at the Centre of the circle.
2m 32s
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.
0m 0s
27.
Find the area of the closed cylinder r =2.8 cm and h= 13 cm.
2m 24s
28.
Find the surface area of the cone below
2m 1s
29.
Find the surface area of a sphere whose diameter is equal to 21 cm
1m 9s
30.
Find the volume of the figure below.
0m 51s
31.
Calculate the volume of a cone whose height is 12 cm and length of the slant height is 13 cm
2m 10s
32.
Expand (m + 2n) (m-n)
1m 11s
33.
Factorize #6x^2 – 13x + 6#
1m 52s
34.
Solve #x^2 + 3x -54 =0#
2m 18s
35.
A rectangular room is 4 m longer than it is wide. If its area is 12 find its dimensions.
3m 0s
36.
Solve for x #x – 1 gt 2 #
0m 30s
37.
Solve the inequality. #X + 3 lt 8#
0m 19s
38.
Solve the inequality #1 -3x lt 4#
0m 44s
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 .
4m 0s
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.
4m 42s
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?
2m 13s
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.
3m 15s
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.
4m 15s
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?
6m 50s
45.
Factorize completely #(a^3+a^2 b-ab^2-b^3)/(2ab-a^2-b^2 )#
4m 3s
46.
If# (16/9)^(-3x +2)=(3/4)^(2/3)#,Find the value of x.
5m 7s
47.
Evaluate: #(1/2 of 16-10+2(1/2 ÷1/4))/(1/3 times 3 3/4÷1/4)#
2m 21s
48.
Solve for x in the equation #(27/8)^(x+7)-(4/9)^(-3x)# = 0
3m 42s
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.
3m 31s
50.
Solve the inequality below hence represent the solution in a number line #3+2xlt 3x -1le 2x +7#
2m 35s