Mass, density and weight — KCSE Mathematics

KCSE Mathematics · 100 practice questions · 3 syllabus objectives

34 easy34 medium32 hard

What You'll Learn

Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.

State units of mass and convert from one unit to another

Define density and calculate density, mass and volume from the formula

Relate mass and weight using W = mg and solve problems

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easySHORT ANSWER2 marks

If an object has a mass of 3 kg and weighs 12 N on a certain planet, calculate the acceleration due to gravity on that planet. (2 marks)

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Part (a) — 2 marks

Use g = W/m to find acceleration due to gravity: g = 12 N / 3 kg (1 mk)

State the value of g is 4 N/kg (1 mk)

easySHORT ANSWER3 marks

State the relationship between weight, mass, and gravitational field intensity, and give the formula that represents this relationship. (3 marks)

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Part (a) — 1 mark

Weight is directly proportional to mass and gravitational field intensity (1 mk)

Part (b) — 2 marks

W = mg (1 mk)

State the variables: W = weight, m = mass, g = gravitational field intensity (1 mk)

easySHORT ANSWER2 marks

An object weighs 20 N. Determine its mass if the gravitational field intensity is 10 N/kg. (2 marks)

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Part (a) — 2 marks

Use W = mg to find mass: m = W/g = 20 N / 10 N/kg (1 mk)

State the mass is 2 kg (1 mk)

A rock has a mass of 5 kg. Calculate its weight on Earth, where the acceleration due to gravity is 9.8 N/kg. (2 marks)

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