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Explorer · Grades 4-8

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Number Play: Practice 4

Practise focused skills from Number Play

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

A three-digit number is 100a+10b+c100a+10b+c. The reversed number is 100c+10b+a100c+10b+a. What is the difference original minus reversed?

Topic: Patterns and Logical Reasoning · Skill: Use parity to reason about number results

Question 2
EasyQuestion

Which approach is best for proving a number-game pattern?

Topic: Patterns and Logical Reasoning · Skill: Generalise number-game patterns

Question 3
MediumQuestion

Use the digit-sum test. Is 11161116 divisible by 33?

Topic: Divisibility and Factors · Skill: Apply divisibility tests for 2, 3, 4, 5, 6, 9, 10, and 11

Question 4
MediumQuestion

Use the digit-sum test. Is 25052505 divisible by 33?

Topic: Divisibility and Factors · Skill: Find factors and multiples efficiently

Question 5
MediumQuestion

What is the greatest proper factor of 4848?

Topic: Divisibility and Factors · Skill: Use prime factorisation in number puzzles

What this assignment covers

Progressive Grade 8 Math practice for Number Play covering Digit and Place-Value Puzzles, Divisibility and Factors, Patterns and Logical Reasoning.

Skills and sections

Use parity to reason about number results, Generalise number-game patterns, Apply divisibility tests for 2, 3, 4, 5, 6, 9, 10, and 11, Find factors and multiples efficiently, Use prime factorisation in number puzzles

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