Form 1 Mathematics
The lengths of three wires were 30m, 36 m and 84m. Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained.
ANSWER
Form 2 Mathematics
A solid S is made up of a cylindrical part and a conical part. The height of the solid is 4.5 m.
The common radius of the cylindrical part and the conical part is 0.9 m. The height of the conical part is 1.5 m. (a). Calculate the volume. correct to 1 decimal place, of solid S. (b). Calculate the total surface area of solid S. A square base pillar of side 1.6 m has the same volume as solid S. Determine the height of the pillar, correct to 1 decimal place.
answers
Form 1 Mathematics
A garden measures 10 m long and 8 m wide. A path of uniform width is made all round the garden. The total area of the garden and the path is 168 m2.
(a) Find the width of the path. b) The path is to be 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 50cm. The cost of making each corner slab is Sh 600 while the cost of making each smaller slab is Sh 50. Calculate; (i) the number of the smaller slabs used. (ii) the total cost of the slabs used to cover the whole path.
answers
Form 3 Mathematics
a)Solve the equation
b) The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2
.i)Calculate the perimeter of the floor ii)A rectangular carpet is placed on the floor of the wall leaving an area of 64m2. If the length of a carpet is twice its width, determine the width of the carpet.
answers
Form 1 Mathematics
The external length, width and height of an open rectangular container are 41 cm and 15.5 cm respectively. The thickness of the materials making the container is
5mm. if the container has 8 lit res of water, calculate the internal height above the water level.
answer
Form 2 Mathematics
In the figure below, AC = 12cm, AD =15 cm and B is point on AC, <BAD= DB=30.
Calculate , correct to one decimal place
a) The length of CD: b) The length of AB c) The area of triangle BCD d) The size of <BDC
answers
Form 2 Mathematics
The figure below shows a right pyramid VABCDE. The base ABCDE is regular pentagon. AO = 15cm and VO = 36 cm.
Calculate:
(a) The area of the base correct to 2 decimal places (b) The length AV (c) The surface area of the correct to 2decimal places (d) The volume of the pyramid correct to 4 significant figures
answers
Form 1 Mathematics
The figure below represents a triangular prism ABCDEF. X is a point on BC.
(a) Draw a net of the prism.
(b) Find the distance DX.
answer
Form 2 Mathematics
The figure below represents a solid cuboid ABCDEFGH with a rectangular base, AC= 13cm, BC = 5 cm and CH = 15cm.
(a) Determine the length of AB,
(b) Calculate the surface area of the cuboid. (c) Given that the density of the material used to make the cuboid is 7.6 g/cm3, calculate its mass in kilograms. (d) Determine the number of such cuboids that can fit exactly in a container measuring 1.5 m by 1.2 m by 1 m.
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 1 Mathematics
The diagonal of a rectangular garden measures 11 1/4 m while its width measures 6 3/4 m.Calculate the perimeter of the garden.
answer
Form 1 Mathematics
The length of a flower garden is 2 m less than twice its width. The area of the garden is 60 m2.
Calculate its length.
answer
Form 1 Mathematics
A solid metal sphere of radius 4.2 cm was melted and the molten material used to make a cube. Find to 3 significant figures the length of the side of the cube.
answer
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