Number Properties Puzzle -Critical Thinking 3
This is a great critical thinking challenge for those who love math challenges and puzzles. Let's see if you can solve it! Time to challenge your brain!
Challenge:
When number y is divided by 7, the remainder equals to the quotient. What is the greatest value of y?
The Absolute Best Book to challenge your Smart Student!
The correct answer is 48.
First, let’s find some values of y. Let’s choose the smallest possible value for the quotient. It’s 0. Then, the remainder should also be 0. Therefore, the number y should be 0.
0 × 7 + 0 = 0
To find the next value of y, you should choose 1 for both quotient and remainder. Then, the value of y is 8.
1 × 7 + 1 = 8
What is the next value of y?
It’s 16. 2 × 7 + 2 = 16
Using the same pattern, you can find other values of y.
3 × 7 + 3 = 24
4 × 7 + 4 = 32
5 × 7 + 5 = 40
6 × 7 + 6 = 48
It is possible to choose 7 for both quotient and remainder?
Since, the remainder cannot be equal to the divisor (it’s 7 here), therefore, the greatest number you can choose for both quotient and remainder is 6. Then, the greatest value of y is 48.
When you divide 48 by 7, both quotient and remainder are 6.
The Absolute Best Books to Ace Algebra
Original price was: $29.99.$19.99Current price is: $19.99.Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- The Ultimate 7th Grade SBAC Math Course (+FREE Worksheets)
- The Ultimate 6th Grade NHSAS Math Course (+FREE Worksheets)
- Newton’s Technique to Fish Out the Roots
- Top 10 4th Grade MAP Math Practice Questions
- Exploring the Alternating Series Test: Convergence and Divergence
- Converting Numbers Between Standard and Expanded Forms Up to a Billion
- Geometry Puzzle – Challenge 74
- How to Solve the Ambiguous Case (SSA) in Trigonometry
- The Ultimate 7th Grade GMAS Math Course (+FREE Worksheets)
- The Ultimate FTCE Math Formula Cheat Sheet
What people say about "Number Properties Puzzle -Critical Thinking 3 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.