Real Numbers Practice 2: HCF, LCM And Applications

Practise focused skills from Real Numbers

MathematicsGrade 10Mixed10 questions20 min

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Section A: Core Skills · 5 questionsSection B: Application Problems · 5 questions

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Section A: Core Skills

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

Find the HCF of $48$ and $72$ using prime factorisation.

Topic: HCF and LCM · Skill: Find HCF using prime factorisation

Question 2

EasyQuestion

Find the LCM of $12$ and $18$ .

Topic: HCF and LCM · Skill: Find LCM using prime factorisation

Question 3

MediumQuestion

Using $84=2^2\timesimes3\timesimes7$ and $126=2\timesimes3^2\timesimes7$ , what is their HCF?

Topic: HCF and LCM · Skill: Find HCF using prime factorisation

Question 4

MediumQuestion

Using $84=2^2\timesimes3\timesimes7$ and $126=2\timesimes3^2\timesimes7$ , what is their LCM?

Topic: HCF and LCM · Skill: Find LCM using prime factorisation

Question 5

MediumQuestion

For two positive integers $a$ and $b$ , when is $\timesext{HCF}(a,b)\timesimes\timesext{LCM}(a,b)=a\timesimes b$ valid?

Topic: HCF and LCM · Skill: Verify the HCF-LCM product relation

What this assignment covers

Use prime factorisation to calculate HCF and LCM and solve grouping and repetition word problems.

Skills and sections

Find HCF using prime factorisation, Find LCM using prime factorisation, Verify the HCF-LCM product relation, Solve daily life problems using HCF, Solve daily life problems using LCM

Section A: Core Skills: 5 questions
Section B: Application Problems: 5 questions