Form 1 Mathematics
In the trapezium PQRS shown below, PQ = 8 cm and SR = 6 cm.
If the area of the trapezium is 28 cm², find the perpendicular distance between PQ and SR.
answer
Form 2 Mathematics
In the parallelogram WXYZ below, WX = 10 cm, XY = 5 cm and ∠WXY = 150°.
Calculate the area of the parallelogram.
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Form 4 Mathematics
In the figure below (not drawn to scale), AB 11cm, BC = 8cm, AD = 3 cm, AC 5cm and angle DAC is a right angle.
Calculate, correct to one decimal place:
(a) the length DC; (b) the size of angle ADC; (c) the size of angle ACB; (d) the area of the quadrilateral ABCD
answers
Form 1 Mathematics
A tailor had a piece of cloth in the shape of a trapezium. The perpendicular distance between the two parallel edges was 30cm. The lengths of the two parallel edges were 36 cm and 60cm. The tailor cut off a semi circular piece of the cloth of radius 14cm from the 60cm edge.
Calculate the area of the remaining piece of cloth. (Take π = 22/7)
answer
Form 1 Mathematics
The figure below represents a piece of land in the shape of a quadrilateral in which AB =240M, BC = 70m CD = 200m ˂BCD = 1500 ˂ABC = 900
Calculate
(a) The size of ˂BAC correct to 2decimal places (b) The length AD correct to one decimal place (c) The area of the piece of land, in hectares, correct to 2 decimal places
answers
Form 1 Mathematics
In the parallelogram PQRS shown below, PQ = 8 cm and angle SPQ = 30°.
If the area of the parallelogram is 24 cm2, find its perimeter
answer
Form 2 Mathematics
A garden measures 10m long and 8 m wide. A path of uniform width is made all round the garden. The total area of the garden and the paths is 168 m2.
(a) Find the width of the path (b) The path is to covered with square concrete slabs. Each corner of the path is covered with a slab whose side is equal to the width of the path.
The rest of the path is covered with slabs of side 50 cm. The cost of making each corner slab is Kshs 600 while the cost of making each smaller slab is Kshs 50.
Calculate (i) The number of smaller slabs used
answer
Form 2 MathematicsThe length of a room is 4 metres longer its width. Find the length of the room if its area is 32cm2
Answer
Form 2 Mathematics
The figure below represents a kite ABCD, AB = AD = 15 cm. The diagonals BD and AC intersect at O. AC = 30 cm and AO = 12 cm.
Kite ABCD
Find the area of the kite
Answer
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
A girl wanted to make a rectangular octagon of side 14cm. She made it from a square piece of a card of size y cm by cutting off four isosceles triangles whose equal sides were x cm each, as shown below.
answer
 A cylindrical can has a hemisphere cap. The cylinder and the hemisphere are of radius 3.5 cm. |
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