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Explorer · Grades 4-8

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Number Play: Practice 3

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

What is the difference between the two-digit number 2828 and the number formed by reversing its digits?

Topic: Digit and Place-Value Puzzles · Skill: Solve digit reversal and digit sum problems

Question 2
EasyQuestion

Choose any two-digit number and subtract the sum of its digits from it. What is always true of the result?

Topic: Digit and Place-Value Puzzles · Skill: Find missing digits using divisibility rules

Question 3
MediumQuestion

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 4
MediumQuestion

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

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

Question 5
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

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

Solve digit reversal and digit sum problems, Find missing digits using divisibility rules, Use parity to reason about number results, Generalise number-game patterns, Apply divisibility tests for 2, 3, 4, 5, 6, 9, 10, and 11

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