Advanced Problem Solving Module 19

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Advanced Problem Solving Module 19

Here are some tricks and tips for solving STEP and other advanced mathematics examinations questions involving equations and inequalities

Unit Interval link

Unit Interval 

Stage: 4 and 5 Challenge Level: Challenge Level:1

Take any two numbers between 0 and 1. Prove that the sum of the numbers is always less than one plus their product?

Eyes Down link

Eyes Down 

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

The symbol [ ] means 'the integer part of'. Can the numbers [2x]; 2[x]; [x + 1/2] + [x - 1/2] ever be equal? Can they ever take three different values?

In Between link

In Between 

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the solution to this algebraic inequality?