S M Z
KAMA SECONDARY SCHOOL
MATHERMATIC MID TERM TEST
FRIDAY
13-09-2019
2:30.HOURS
SECTION A
Answer all questions in this section.
1
(a) Round off (i) 1.342
(to three significant figure)
(ii) 0.03782 (to two decimal places)
(b) convert 0.33… to exact fraction.
2
(a) In a mathematics test Juma scored 45 marks out of 50 .Calculate this as percentage.
(b) How many seconds are there in one day ?
3
(a) Find the sum of the angle of a 14 sided polygon.
(b) Find the L C M and G C F of the 30 ,42 and 126.
4
(a) Change (i)
5
3
as a decimal
(ii) 0.625 as a fraction
(b) Express 125 as a percentage of 300.
(a) Simplify (i) 3a – ( a + 5b ) + 5b
5
1
(ii) If a # b = 2 (a + b) - a .
(b) Make v subject of the formulae
6
Evaluate ( 9 # 17 ) # 6.
u =
𝑎
4−3𝑣
(a) The sum of two numbers x and y is 140. Given that x is 34 more than y.
(i)
(ii)
Form mathematical equation (s)
Hence find the values of x and y.
(b) If ax2 + 6x - c = x2 + bx + 9 .What are the values of a ,b and c
SECTION B
Answer any four (4) questions in this section.
7 (a) From the figure below
(i) Find the unknown side.
5cm
10cm (ii) Determine the size of the base angle.
(b) The height of the flag pole is 13m , Salim is 10m from the foot of the flag pole .Find the angle of
elevation formed by Salim from the top of the tower.
8
(a) Write log102x +2 = 1 in power form. Hence find the value of x.
(b) Without using the table or calculator evaluate
9
(a)
(b)
10
Solve for x (
1 x+1
)
3
x (
Evaluate (5 x 106)
x
1 2-x
)
9
=
tan 60°
tan 30°
1
81
( 1.5 x 108 ). Give your answer in standard form.
The marks below were obtained by 40 students of a Kama school.
27 63 40 18 72 53 21 54 43 58 12 25 30 45 67 54 49 55 22 66
30 34 17 25 27 74 52 61 53 16 34 45 42 20 26 67 72 36 48 43
(a) Prepare the frequency distribution table starting with class limit 10 – 19,20 -29,etc.
(b) Which class limit has the highest frequency ?
11 If ∪
= {𝑎 , 𝑏 , 𝑐, 𝑑, 𝑒, 𝑓, 𝑔, ℎ, 𝑖, 𝑗, 𝑘} ,A = {𝑎 , 𝑏 , 𝑐 , 𝑑} , B = {𝑎 , 𝑐 , 𝑒 𝑓} ,C = {𝑒 , 𝑓 , 𝑔 , 𝑘} .
Find the following sets:
(a) A∩B
12
Solve
(b) B∩A
(c) A∩ 𝐵 ∩ 𝐶.
6x2 + 11 x + 4 = 0 By completing the square.
(b)
12 cm
13cm
5 cm
Find (i) sin 𝐴 , (b) cos 𝐴 , (c) tan 𝐴
(ii) sin 𝐵 , cos 𝐵 and tan 𝐵
THE END