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KCSE Mathematics Paper 1 Revision Exercise Set 3
Given that p=3, q= -2 and r=-1 evaluate
#(2(p+r)^2-(p-q)(q-r)-2r)/(3(p+q)-2(q-r))#
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1.
Factorise completely the expression #45a^2 – 20b^2# and hence or otherwise find its value when a= 5 and b= 3.
2.
Given the ratio x:y = 2:3, find the ratio (5x – 2y) : (x + y)
3.
Kasila’s office is 18 km from where she works. She uses her car to travel to and from her office everyday for 6 days a week. Her car consumes petrol at the rate of 1 litre for every 12 km and petrol costs sh 56.20 per litre. Allowing 2 weeks of holiday in a year, calculate the amount of money Kasila’s spends on petrol going to and from her office in one year.
4.
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5.
Simplify the expression 3(2a + b – 2c ) –2( a + 2b -3c)
6.
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7.
A rectangle which measures 18 cm by 8 cm has the same area as a square. Find which figure has the greater perimeter and by how much.
8.
Given that p=3, q= -2 and r=-1 evaluate #(2(p+r)^2-(p-q)(q-r)-2r)/(3(p+q)-2(q-r))#
9.
Given the column vectors a=#((-3),(2))#, b=#((4),(-6))#,c=#((5),(-10))# and that p=2a-#1/2 b +2/5 c# express p as a column vector and hence calculate its magnitude |p| correct to 2 decimal places.
10.
In the figure ABCD is a rhombus in which angle ADC = 140°.AB is produced to F such that AB = BF. Giving reasons for your answer find the size of; a) angle BAC b) angle BCF
11.
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12.
The table below shows the masses of 50 students in Form One class. These measurements are recorded to the nearest kilogram. a) State the modal class. b) Calculate the median mass.
13.
You are given that Cos#theta=8/10#. Without using mathematical tables express in fraction form the value of a) Sin #theta# b) Tan ( 90 - #theta#)
14.
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15.
A sales lady is paid commission at the rate of 3 cents in every shilling on all goods she sells. During one month she sold 12 television sets at sh 15 500 each, 8cassets players at sh 5650 each and 4 refrigerators at sh 21 700 each. Calculate the total commission she earned in that month.
16.
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