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KCSE Mathematics Paper 1 Revision Exercise Set 3
Simplify the expression
3(2a + b – 2c ) –2( a + 2b -3c)
(2m 44s)
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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.
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4.
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5.
Simplify the expression 3(2a + b – 2c ) –2( a + 2b -3c)
6.
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7.
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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.
Giving your answer in the simplest terms possible, express #(2x – y)^2-(x - y) (x + y)# In terms of x only given that y= 2x - 1
15.
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16.
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The diagram shows the frustum of a right pyramid made by cutting off small pyramid halfway up the vertical height of the original pyramid. The frustum stands on a rectangular base measuring 24cm by 10cm while the removed pyramid stands on a rectangular base measuring 12cm by 5 cm. Given that the slant height of the original pyramid is 28cm, calculate a) To one decimal place the vertical height of
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