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Explorer · Grades 4-8

Assignment Practice

A Square And A Cube: Practice 1

Practise focused skills from A Square and A Cube

MathematicsGrade 8Mixed12 questions24 min
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Explorer question style
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

Which arrangement represents the square number 8181?

Topic: Square Numbers and Patterns · Skill: Recognize square numbers from visual arrangements

Question 2
EasyQuestion

A teacher asks students to find 21221^2 without a calculator. What is the value?

Topic: Square Numbers and Patterns · Skill: Find squares using multiplication and patterns

Question 3
MediumQuestion

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 4
MediumQuestion

What is 225\sqrt{225}?

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

Question 5
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

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

Recognize square numbers from visual arrangements, Find squares using multiplication and patterns, Use unit digits to test possible square numbers, Find square roots of perfect squares, Estimate square roots between two whole numbers

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