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Free Interactive Lab

School Sports Day: The Scheduler's Challenge

Number Play

Students help organize a school sports day event by applying divisibility rules and understanding remainder patterns. They determine when mathematical statements are always, sometimes, or never true, and identify algebraic expressions for numbers with specific remainders.

35 min
Duration
3
Missions
12
Problems
180
XP

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📖 Your Story

Gurukul Public School is preparing for its Annual Sports Day. The sports coordinator, Mrs. Sharma, needs help organizing teams, events, and equipment using divisibility rules. Students must determine which statements about factors and multiples are always/sometimes/never true, and find algebraic expressions for numbers with specific remainders.

What You'll Learn

  • Understand that if a number is divisible by k, all its multiples are divisible by k
  • Understand that if a number is divisible by k, it is divisible by all factors of k
  • Determine when a number divisible by k is also divisible by multiples of k
  • Find algebraic expressions for numbers with specific remainders when divided by a number

How to Play

1Analyze each statement about factors and multiples carefully
2Determine if statements are 'Always True', 'Sometimes True', or 'Never True'
3Use algebraic expressions to identify numbers with specific remainders
4Apply your understanding to real sports day scenarios

3 Missions Await

1

Mission 1: Team Formation Rules

4 problems · 40 XP

2

Mission 2: LCM and Divisibility

4 problems · 60 XP

3

Mission 3: The Remainder Riddle

4 problems · 80 XP