0NAME……………………………………………………..ADM NO……………CLASS……..
AFRAHA HIGH SCHOOL
TERM 1 MID-TERM EXAMS 2014
MATHEMATICS FORM 2
TIME: 21/2HRS
INSTRUCTIONS: ANSWER ALL THE QUESTIONS ON THE SPACES PROVIDED
1) Evaluate; -12 ÷ (-3) x 4 – (-20)
-6 x 6 ÷ 3 + (-6)
(3mks)
2) a square room is covered by a number of whole Rectangular slabs of sides 60cm by 42cm.
Calculate the least possible area of the room in square metres.
(3mks)
3) Evaluate 1⁄3 of (23⁄4 - 51⁄2) x 36⁄7 ÷ 9⁄4
(3mks)
1
4) Two pairs of trousers and three shirts cost a total of shs.390. Five such pairs of trousers and
two shirts cost a total of shs. 810. Find the price of a pair of trousers and a shirt.
(4mks)
5) Given that x=-2, find the values of y and z by solving simultaneously:
(3mks)
x+y-z=-1
x-2y+x=-7
6) Three years ago Juma was three times as old as Ali. In two years time the sum of their ages
will be 62. Determine their present ages.
(3mks)
2
7) It takes 30 workers 6 days working 8hrs a day to harvest maize in a farm. How many days
would 50 workers working 6hrs a day take to harvest the maize?
(3mks)
8) Three business partners, Kioko, Njau and Osiako, are to share shs. 12,000 in the ratio 5:6:x
respectively. If Kioko received shs. 4,000, determine the value of x.
(3mks)
9) A manufacturer sells a bottle of fruit juice to a trader at a profit of 40%. The trader sells it for
shs. 84 at a profit of 20%. Find:
a) The traders buying price.
(2mks)
b) Cost of manufacturer of one bottle.
(2mks)
3
10) A Kenyan bank buys and sells foreign currencies as shown below.
Buying
Selling
1 Euro
84.15
84.26
100 Japanese Yen 65.37
65.45
A Japanese travelling from France arrives in Kenya with 5000Euros. He converts all the
5000 Euros to Kenya shillings at the bank. While in Kenya he spends a total of Kshs.
289,850 and then converts the remaining Kenya shillings to Japanese Yen at the bank.
Calculate the amount in Japanese Yen that he receives.
(5mks)
11) A salesman earns a basic salary of shs. 1,500 per month. In addition he is paid commission as
follows;
Commission
For sales upto shs. 50,000
2%
For sales above shs. 50,000
2½%
For sales above shs. 50,000
5%
During a certain month, he sold goods worth shs. 115,000. Calculate
i) How much commission he got.
(3mks)
ii) His total pay for the month
(2mks)
4
12) The solid below consists of a cylinder and a hemisphere of equal diameters of 14cm. The
height of the solid is 22cm. Calculate the volume.
(4mks)
13) Find the ratio a:c if
(3mks)
a:x=3, x:2=4:1, 2:c=2:1
14) If r=5, s=2 and t=-3 find the value of;
(3mks)
r
s -t
s+t t+r r+s
5
15) Simplify by use of common factors
(4mks)
(x+1) a(x-1) + b(x-1)
(1-x) (ax+bx-a-b)
16) The radius of a wheel is 21 cm. Calculate;
a) Circumference of the wheel.
(2mks)
b) Distance covered when the wheel turns through 800.
(2mks)
17) A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of
the prism is 3.4kg, find its density.
(3mks)
6
18) a) Three vertices of a parallelogram PQRS are P(-1, 2) Q(8,-5) R(5,0). On the grid provided
draw parallelogram PQRS and state;
i) Co-ordinate of S
(1mk)
ii) Length of QS
(1mk)
7
b) Using the graphical method and the provided grid solve the following simultaneous
equations
x+3y-5=0
5x+7y-9=0
(6mks)
8
19) Draw triangle LMN using ruler and compasses only such that ∠LMN = 82.50, LM=8.3cm
and MN=5.8cm. Draw perpendicular bisectors of sides of the triangle to meet at point O.
With O as the centre and radius ON draw a circle passing through L, M, and N.
i) Measure the radius of the circle
ii) Measure angle MNL
iii) Measure line LN
(10mks)
9
20) A line PQ=11.7cm is perpendicular to line QR. By using line QR, divide line PQ into ten
equal parts.
(4mks)
b) In the given figure GJ is parallel to HI and FH is parallel to CJ. Angle AGB=300 and angle
AHC=630. Find;
i) ∠ GCJ
ii) ∠ABC
iii) ∠HFI
10
21) Find the square root by factorization method of;
i) 1764
(2mks)
ii) 441
(2mks)
b) Evaluate
i) √0.0529
ii) √952.695
iii) (0.00824)2
11