Number System: Practice 3

Practise focused skills from Number System

MathematicsGrade 9Mixed10 questions20 min

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Focus question style

Section A: Core Practice · 5 questionsSection B: Application Practice · 5 questions

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Section A: Core Practice

Build the core ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

Which fraction equals $0.\overline{6}$ ?

Topic: Decimal Representation · Skill: Convert recurring decimals to rational numbers

Question 2

MediumQuestion

Which number is irrational?

Topic: Irrational Numbers · Skill: Recognise irrational numbers from examples and non-examples

Question 3

MediumQuestion

Which comparison is correct?

Topic: Irrational Numbers · Skill: Compare rational and irrational numbers

Question 4

MediumQuestion

Between which two integers does $\sqrt{20}$ lie?

Topic: Irrational Numbers · Skill: Approximate irrational square roots on the number line

Question 5

MediumQuestion

In a proof by contradiction that $\sqrt{2}$ is irrational, what assumption is made first?

Topic: Irrationality Proofs · Skill: Prove irrationality of square root of 2

What this assignment covers

Progressive Grade 9 Math practice for Decimal Representation to Square Root Spiral.

Skills and sections

Convert recurring decimals to rational numbers, Recognise irrational numbers from examples and non-examples, Compare rational and irrational numbers, Approximate irrational square roots on the number line, Prove irrationality of square root of 2

Section A: Core Practice: 5 questions
Section B: Application Practice: 5 questions