NAME……………………………………

NO…………………CLASS…………

TERM1 MID TERM EXAM 2017

MATHEMATICS FORM 3

INSTRUCTIONS

  • Answer all questions.
  • Marks may be given for correct working even if the answer is wrong

1)Use logarithm correct to 4 d.p. to evaluate(4mks)

2)Find the reciprocal of 0.036.(2mks)

3)A triangle has vertices A(2,5) B(1,-2) and C( -5,1)Determine the equation of the line BC. (3mks)

4)Solve the equation2logx – log(x-2) = 2log3(3mks)

5)A triangle whose Area is 12cm2 is given an enlargement with linear scale factor 3.Find the area of the image (2mks)

6. The table below show the number of goal scored by a football team in 20 matches Find

(i)The mode 1mark

(ii) The mean number of goals 2marks

Goals scored / 0 / 1 / 2 / 3 / 4 / 5
No of matches / 5 / 6 / 4 / 3 / 1 / 1
  1. Babu’s clock loses is 15 seconds every hour. He sets the correct time on the clock at 0700h on Monday. Determine the time shown on the clock when the correct time was 1900h on Wednesday the same week. (3mks)
  1. The interior angles of an Octagon are 2x, 1/2x, (x+40), 1100, 135, 1600, 2x-10 and 1850. Find the value of x. (3mks)
  1. A straight line passes through points (-3,0) and (0,6) find

a) The equation of the line in the form y=mx+c(2mks)

b) The gradient of a line perpendicular of the line in (a)above.(1m

9 (i) if BAP =300, find the angles ofPOB, where O is the centre,

What kind of triangle is it.

2marks

(ii)ifOBP=50,calculate OPA

2marks

(iii)PAB =a and PBA=3(50-a) calculate a

4marks

10 Given the inequalities

x-5≤ 3x-8 <2x-3

a) Solve the inequalities(2mks)

b) Represent the solution on a number line.(1mk)

11. In the diagram below OA=a OB=b C is a point on AB such that AC:CB=1:2

Find in term of a and b

(i)AB 2marks

(ii) OC 2marks

(iii)AC 2marks

12.(a) FactorizeX2+6X+92marks

(b) Use completing square method to solve X2+5X+1=0 3marks

13.In the figure below Ais the point( 2,8)and B the point (10,2) C ,D ,and Daremidpoints of OA, OB ,and AB respectively.

(A)Find the coordinate of C 3marks

(B)Find the length of vectors CD 3 marks

  1. a) Complete the table below for the function y = x2 + 3x + 1 ( 2marks)

X / -5 / -4 / -3 / -2 / -1 / 0 / 1 / 2
X2
3X
1
Y

b) On the grid provided, draw the graph of the y = x2 + 3x+1 using the scale 1cm represents 1 unit in the x=axis and 1cm represents 2 units in the y-axis. (3mks)

c) Use the graph to solve

i) x2 + 3x + 1 = 10(1mk)

1