Form 1 MathematicsThe density of a solid spherical ball varies directly as its mass and inversely as the cube of its radius. When the mass of the ball is 500g and the radius is 5 cm, its density is 2 g per cm3 Calculate the radius of a solid spherical ball of mass 540 density of 10g per cm3.
Answer
Form 1 Mathematics
Water and milk arc mixed sueh that the volume of water to that of milk is 4:1,
Taking the density of water as 1 g/cm3 and that of milk as 1.2 g/cm3, find the mass in grams of 2.5 litres of the mixture.
answer
Form 2 Mathematics
The density of a substance A is given as 13.6 g/cm3 and that of a substance B as 11.3 g/cm3. Determine, correct to one decimal place, the volume of Bthat would have the same mass as 50cm3 of A.
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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
The figure VPQR below represents a model of a top of a tower. The horizontal base PQR is an equilateral triangle of side 9cm. The lengths of edges are VP = VQ = VR = 20.5cm. Point M is the mid point of PQ and VM = 20cm. Point N is on the base and vertically below V.
Calculate:
a) i) Length of RM ii) Height of model iii) Volume of the model b) The model is made of material whose density is 2,700 kg/m3. Find the Mass of the model.
aNSWER
Form 1 Mathematics
A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the plate in centimeters
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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1An artisan has 63 kg of metal of density 7, 000kg/m3. He intends to use to make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm. Calculate the length of the pipe in metres.
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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