Unit 8 · Detecting Reasoning Errors

Matt and Yash Chess — Approximation Error

Lesson 7 of 34

Premium

About this lesson

Matt won five chess games last week. The overall record says each player wins 'around half.' Mr Stead concludes they must have played about ten games. The word 'around' is the hidden trap — he silently upgraded an approximation to an exact 50/50 split.

Chapters

0:00Introduction
0:20Question
1:07Strategy
1:38Step 1: Mr Stead's hidden assumption
2:20Step 2: Test each option
3:11Correct answer

Question

Matt and Yash play chess together every day at lunch. They are at around the same skill level, and they have each won around half of the matches they've played against each other.

Mr Stead: "I can't remember how many games Matt and Yash played last week, but I know Matt won five, so they must have played about ten games."

Which one of the following sentences shows the mistake Mr Stead has made?

Free account · Selective

Take your Selective prep further

  • Sample questions & worked solutions across core Selective topics
  • Digital exam simulator with interactive practice sets
  • Personalised progress tracking across all your devices
Create free account

Already have an account? Log in here

No payment required. Compare Selective plans

0 of 34 lessons completed

0%

Give Your Child the Best Chance at Selective Entry

Join NSW families preparing their children for the Selective Schools Placement Test with the most realistic online Selective practice tests available. First tests free—no credit card required.

Claim Your Free Selective Practice Tests