KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
In the figure below, AB and CD are arcs of two concentric circles, centre O. Angle AOB=60 degrees and AD=BC=7cm.
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 10
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Given that sin(θ+30°)=cos2θ, find the value of cos(θ+40°). (3 marks)
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 9
AnswerUsing the grid provided below, solve the simultaneous equations.
|
Marks |
10-19 |
20-29 |
30-39 |
40-49 |
50-59 |
60-69 |
70-79 |
80-89 |
90-99 |
Frequency |
2 |
6 |
10 |
16 |
24 |
20 |
12 |
8 |
2 |
Using an assumed mean of 54.5, calculate the
a) Mean mark (4mks)
b) Variance (4mks)
c) Standard deviation (2mks)
(a) A and B are two points on earthâs surface and on latitude 400 N. The two points are on the longitude 500W and 1300E respectively. Calculate the distance from A to B along a parallel of latitude in kilometers. (2mks)
(b) The shortest distance from A to B along a great circle in kilometres (Take p = 22/7 and radius of the earth = 6370km) (2mks)
Seven people can build five huts in 30 days. Find the number of people, working at the same rate that will build 9 similar huts in 27days. (3mks)
A quantity P varies partly as Q and partly as the square root of Q, given that P=30 when Q=9, and P=14 when Q=16. Find P when Q=36. (3mks)
A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom. (3mks)
When Ksh. 60,000 was invested in a certain bank for 8years it earned a simple interest of Ksh. 14,400. Find the amount that must have been invested in the same bank at the same rate for 5years to earn a simple interest of Ksh. 12,000 (3mks)
a) Expand (1 + ¼ x)4 (2mks)
b) Use your expansion in (a) above to evaluate (0.975)4 to 4 significant figures. (2mks)
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