# MATHEMATICS FORM 2 ```NAME………………………………………….ADM NO…………………..CLASS…………
KCSE ONLINE
TERM 1 2015 MID-TERM EXAM
MATHEMATICS FORM 2
1) Simplify the leaving your answer in index form;
(3mks)
5122/3 x 81/3 &divide; 26
2) a) Use mathematical table to evaluate the following;
17
0.051
+
(4mks)
3
0.0027
b) Without using tables evaluate;
3
√(𝑥 − 𝑦 (𝑥 + 𝑦
Given that x = 76 and y = 49.
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(3mks)
1
3) The volume of a sphere is given by 4⁄3 𝜋𝑟 3. Find the value of radius r if the volume of the
sphere is 311cm3 and π = 3.14.
(3mks)
4) Evaluate the following without using tables;
(4mks)
√0.729 𝑥 409.6
0.1728
3
5) Use mathematical tables to solve;
0.14683 +
(4mks)
1
27.38
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2
6) A right pyramid consists of a square base whose side is 5cm and isosceles triangles at a slant
side 6cm.
a) Draw the net of the pyramid.
(3mks)
b) From your net calculate the surface area of the pyramid.
(4mks)
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3
7) Ali travels a distance of 5km form village A to village B in direction 0600. He then changes
course and travels a distance 4km in the direction 1350 to village C. By using a suitable scale;
a) Draw a diagram showing positions of the three villages.
(5mks)
b) From the diagram above; find;
i)
The distance between A and C in kilometers.
(2mks)
ii)
The bearing of A from C.
(3mks)
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4
8) a) Using a ruler and a pair of compasses only construct a triangle ABC in which angle BAC
= 900, Ac=4cm and BC=8cm.
(3mks)
b. i) On the triangle above draw a circle to pass through A, B and C.
(3mks)
ii) Measure the radius of the circle and calculate the area of the circle taking π = 3.142.
(4mks)
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5
9) Measurements of a maize field using a baseline XY were recorded as shown below.
(Measurements are in metres)
Y
360 80 to Q
To R 80 280
To S 160 200
80 200 to P
X
Using a scale of 1cm to 40cm and baseline XY=400m;
a) Draw the map of the maize field.
(4mks)
b) From the map above, find the area of maize field in hectares.
(6mks)
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6
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