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YEAR: 2012
SOURCE: KNEC - KENYA NATIONAL EXAMINATIONS COUNCIL KCSE 2012 PAST PAPERS (QUESTIONS, MARKING SCHEMES AND REPORTS)
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FREE KCSE PAST PAPERS 1997 (QUESTIONS, MARKING SCHEMES AND REPORTS)
YEAR: 1997
SOURCE: KNEC - KENYA NATIONAL EXAMINATIONS COUNCIL
Also ReadFREE KCSE PAST PAPERS 1996 (QUESTIONS, MARKING SCHEMES AND REPORTS)
YEAR: 1996
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1. |
Without using a calculator, evaluate;
\[\frac{2\frac{1}{3}-1\frac{1}{5}of 2}{\frac{1}{4}-(-\frac{1}{2})^{3}}\]
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2. |
Given that
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\[6^{(2n-3)}= 7776,\]
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find the value of n
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3. |
The base of a right pyramid is a rectangle of length 80cm and width 60 cm. Each slant edge of the pyramid is 130 cm. Calculate the volume of the pyramid. (3 marks)
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4. |
In the figure below ABCDEF is a uniform cross section of a solid. Given that FG is one of the visible edges of the solid, complete the sketch showing the hidden edges with broken lines.
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5. |
The lengths of three wires were 30m, 36m and 84m. Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained. (4 marks)
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6. |
A two digit number is such that, the sum of its digits is 13. When the digits are interchanged, the original number is increased by 9. Find the original number. (4 marks)
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7.a |
Using a ruler and a pair of compasses only, construct a quadrilateral PQRS in which PQ = 5cm, PS = 3cm, QR = 4cm, \[\large \angle pqr=135^{0}\] and \[\large \angle SPQ\] is a right angle. (2 marks) 
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b. |
The quadrilateral PQRS represents a plot of land drawn to a scale of 1:4000. Determine the actual length of RS in metres. (2 marks)
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8 |
Given that
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\[\large OA=\binom{4}{3}\]
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and
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\[\large OB=\binom{-4}{5}\]
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Find the mid point M of AB. (2 marks)
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9. |
Two towns R and S are 245 km apart. A bus travelling at an average speed of 60km/h left town R for town S at 8.00 a.m. A truck left town S for town R at 9.00 a.m and met with the bus at 11.00a.m. Determine the average speed of the truck. (4 marks)
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10. |
In the parallelogram WXYZ below, WX = 10 cm, XY = 5cm and \[\large \angle WXY=150^{0}\]
Calculate the area of the parallelogram. (3 marks)
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11. |
Without using mathematical tables or a calculator, evaluate
|
12. |
Use matrix method to solve: 3 marks
5x + 3y = 35 3x — 4y = —8 
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13. |
Expand and Simplify (2 marks)
\[\large (2x+1)^{2}+(x-1)(x-3)\]
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14. |
Use mathematical tables to find the reciprocal of 0.0247, hence evaluate
\[\large \frac{\sqrt[3]{3.025}}{0.0247}\]
correct to 2 decimal places. (3 marks)
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15. |
A Kenyan businessman intended to buy goods worth US dollar 20000 from South Africa. Calculate the value of the goods to the nearest South Africa (S.A) Rand given that, 1 US dollar = Ksh 10 1.9378 and 1 S.A Rand = Ksh 7.6326. (3 marks)
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16. |
A photograph print measuring 24 cm by 15 cm is enclosed in a frame. A uniform space of width x cm is left in between the edges of the photograph and the frame. If the area of the space is 270 cm2, find the value of x. (3 marks)
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