Category: Densitymassweight

Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³). What is the density of the mixture? (3mks)

29/4/2023

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Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³).
What is the density of the mixture? (3mks)

ANSWER

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The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm-cubic.

23/11/2021

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(a) The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm³.
Taking  = 22/7, calculate

The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm-cubic.

(i) The volume of the metal that makes the frustum. (6mks)

(ii) The mass of the frustum. (2mks)

(b) The frustum is melted in down and recast into a solid cube in the process 20% of the metal is lost. Calculate to 2d.p the length of each side of the cube. (2mks)

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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.14

19/9/2020

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Form 1 Mathematics

The 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

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K.C.S.E Mathematics Q & A - MODEL 2016PP2QN14

15/9/2020

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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

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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN06

9/9/2020

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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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K.C.S.E Mathematics Q & A - MODEL 2012PP1QN18

31/8/2020

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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.

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN020

30/8/2020

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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

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K.C.S.E Mathematics Q & A - MODEL 2007PP1QN07

12/8/2020

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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

answer

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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN13

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

An 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.

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN13

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³). What is the density of the mixture? (3mks)

Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³).
What is the density of the mixture? (3mks)

ANSWER

The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm-cubic.

(a) The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm³.
Taking  = 22/7, calculate

(i) The volume of the metal that makes the frustum. (6mks)

(ii) The mass of the frustum. (2mks)

(b) The frustum is melted in down and recast into a solid cube in the process 20% of the metal is lost. Calculate to 2d.p the length of each side of the cube. (2mks)

K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.14

Form 1 Mathematics

N.14

K.C.S.E Mathematics Q & A - MODEL 2016PP2QN14

Form 1 Mathematics

14

K.C.S.E Mathematics Q & A - MODEL 2015PP1QN06

Form 2 Mathematics

6

K.C.S.E Mathematics Q & A - MODEL 2012PP1QN18

Form 2 Mathematics

18

K.C.S.E Mathematics Q & A - MODEL 2002PP2QN020

Form 1 Mathematics

20

K.C.S.E Mathematics Q & A - MODEL 2007PP1QN07

Form 1 Mathematics

7

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN13

Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

13

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

​Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³).What is the density of the mixture? (3mks)

ANSWER

​(a) The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm³. Taking  = 22/7, calculate

​(i) The volume of the metal that makes the frustum. (6mks)

​(ii) The mass of the frustum. (2mks)

​(b) The frustum is melted in down and recast into a solid cube in the process 20% of the metal is lost. Calculate to 2d.p the length of each side of the cube. (2mks)

Form 1 Mathematics

N.14

Form 1 Mathematics

14

Form 2 Mathematics

6

Form 2 Mathematics

18

Form 1 Mathematics

20

Form 1 Mathematics

7

Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

13

Categories

Archives

HIGH SCHOOL EXAMINATIONS

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³).
What is the density of the mixture? (3mks)

(a) The diagram represents a solid frustum with base radius of 35cm and top radius of 21cm.The frustum is 22.5cm high and is made of a metal whose density is 4g/cm³.
Taking  = 22/7, calculate

(i) The volume of the metal that makes the frustum. (6mks)

(ii) The mass of the frustum. (2mks)

(b) The frustum is melted in down and recast into a solid cube in the process 20% of the metal is lost. Calculate to 2d.p the length of each side of the cube. (2mks)