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Explorer · Grades 4-8

Assignment Practice

A Square And A Cube: Practice 2

Practise focused skills from A Square and A Cube

MathematicsGrade 8Mixed12 questions24 min
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Section A: Core Practice · 6 questionsSection B: Reasoning and Application · 6 questions
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Section A: Core Practice

Build core ideas for this chapter.

Choose the best answer for each question.

Question 1
EasyQuestion

Riya only checks the unit digit of 238238. What can she conclude about whether it could be a perfect square?

Topic: Square Numbers and Patterns · Skill: Use unit digits to test possible square numbers

Question 2
EasyQuestion

What is 225\sqrt{225}?

Topic: Square Roots and Estimation · Skill: Find square roots of perfect squares

Question 3
MediumQuestion

Between which two consecutive whole numbers does 120\sqrt{120} lie?

Topic: Square Roots and Estimation · Skill: Estimate square roots between two whole numbers

Question 4
MediumQuestion

A solid cube has 66 unit cubes along each edge. How many unit cubes are in the whole cube?

Topic: Cube Numbers and Cube Roots · Skill: Recognize cube numbers from layered models

Question 5
MediumQuestion

What is 643\sqrt[3]{64}?

Topic: Cube Numbers and Cube Roots · Skill: Find cube roots of perfect cubes

What this assignment covers

Progressive Grade 8 Math practice for A Square and A Cube covering Cube Numbers and Cube Roots, Square Numbers and Patterns, Square Roots and Estimation.

Skills and sections

Use unit digits to test possible square numbers, Find square roots of perfect squares, Estimate square roots between two whole numbers, Recognize cube numbers from layered models, Find cube roots of perfect cubes

  • Section A: Core Practice: 6 questions
  • Section B: Reasoning and Application: 6 questions