Explore general knowledge, number skills and logical reasoning. Use the tags on published posts to choose the topics you want to practise.
Understand the method before using a shortcut
For number patterns, compare neighbouring terms and test your proposed rule against every term. For percentages, build from 10%, 5% and 1%. For ratios, add the ratio parts and calculate one part before finding each share.
Worked example: a number pattern
In 4, 7, 12, 19, … the differences are 3, 5 and 7. Continuing that odd-number pattern gives a difference of 9 and a next term of 28.
Worked example: a ratio
To share 84 in the ratio 2:5, first calculate 84 ÷ 7 = 12. The shares are 2 × 12 = 24 and 5 × 12 = 60. Check that they add back to 84.
Reasoning carefully
“All squares are rectangles” does not mean “all rectangles are squares”. Test a statement with an example or counterexample before reversing it.
PRACTICE & EXPLANATIONS
Questions & Answers
Try the questions first, then review the reasoning. Browse published questions by topic below.
New questions and explanations will appear here as they are published.
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