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MATHEMATICS REVISION QUESTIONS PAPER 2
1.
Solve by completing squares method x2 + 5x + 1 = 0
2.
Draw the graph y= x2 - x - 6 for -5<x<5 and hence
use your graph to solve the following
i)
x2 - x - 6 = 0
ii)
x2 - x - 6 = 5
iii)
x2 - x - 6 = 2x + 1
iv)
x2 - 3x – 7 = 0
3.
Given the number 7589, 9823.098, 0.002677
Rewrite the numbers by
i)
rounding off the numbers to one decimal place
ii)
rounding off the numbers to two significant figures
iii)
truncating the numbers to 3 significant figures
4.
Estimate the answer to 523.4 ÷ 13.3
8.2 x 5.13
5.
The side of a square is 49.4cm, find the percentage error in
its perimeter and area
6.
A ship starts from point A on a bearing of 053o
and travels for 17km to a point B. It then changes course to a
bearing of 120o and travels up to a point C. If the
bearing of A from C is 290o, find how far C is from A,
and the distance from B and C
7.
Given in the figure below, angle KLN =80o, KNL =
66o and LMN = 130o
Calculate the length of MN
8.
 Simplify
8
√5 + √2
9.
Solve for x in log(3x + 4) – log(3-x) = 1
10.
A bus costs sh 400,000and due to wear and tear it depreciates
by 3% every month. Find its value after one year
11.
Two tractors can dig a piece of land in 3 days while 30 men
can dig the same piece of land in 10 days.
i) How long will take the two tractors and 30 men working together dig the
piece of land
ii)
how long will take 3 such tractors and 20 men to dig the piece the
of land
12.
Use the table below to work out the total monthly payable tax
and the net monthly salary of a person who earns 25,000 basic
salary, 5000 house allowance, 3000 medical allowance per month, his
monthly deductions include a loan payment 2500, nssf 400, nhif 320
and is entitled to 12672 tax relief per year.
|
Ksh per year |
Rate |
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0- 100,000 |
3% |
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100001-160000 |
5% |
|
160001-240000 |
8% |
|
Above 240000 |
12% |
13.
The line gine AB is 8 cm apart. Draw a circle with centre a
and radius 4 cm and another circle with centre B and radius 2.5 cm.
construct a common transverse(interior) tangent and a common
direct(exterior) tangent to the two circles.
14.
In the figure below, find the length BC
15.
Construct a triangle ABC such that AB=8cm, BC is 6cm and
angle ABC=60o
Draw an inscribed circle to the triangle and measure its radius
Find the orthocenter and centroid of the triangle
16.
Construct a triangle ABC such that AB=5cm Angle ABC =45o
and the area of the triangle is 15 cm2. Draw an escribed
circle touching side BC
17.
A quantity y is partly constant and partly varies inversely
as x2. If y=7 when x=10 and y=5.5 when x=20, write the equation
connectinf y and x and hence find the value of y when x=18.
18.
Given that the speed at different time is shown in the table
below, find the equation that relate speed and time
|
Time(t) |
1 |
2 |
3 |
4 |
5 |
6 |
|
Speed (s) |
120 |
60 |
40 |
30 |
24 |
20 |
19.
Make T the subject of the formula X = d – dT2
fT2 – g
20.
Expand (1 + x)6 and hence solve (0.98)6
21.
The probability that A wins a game is 0.4 and the probability
that B wins is 0.25. If neither A nor B wins the game is draw. What
is the probability that
i)
the game is draw
ii)
A win or draw
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