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KCSE REVISION QUESTION AND ANSWERS PAST PAPERS

 
 

 

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

0- 100,000

3%

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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