Maths Olympiad mock test 2 — Maths Olympiad practice
The second mock test mixes questions from lessons 21 to 32: angles, counting, worst case, probability, digit puzzles, mensuration, data, coordinates, APs, identities, primes and Venn diagrams. Spot the topic first, then use its method and check against the options.
✓ You passed this topic’s test.
How to solve it
Name the topic, then solve — “every question belongs to a lesson — use that lesson’s method”
Name the topic first: angles, counting, worst case, probability, digits, mensuration, data, coordinates, AP, algebra, primes or Venn diagrams.
Use that lesson’s method; draw a quick sketch, list or Venn diagram on rough paper.
Rule out options of the wrong kind — a probability above 1, or a triangle angle of 180° or more.
Check by working backwards or with a second method when you can.
Use it for: Practice before a maths Olympiad, a reasoning test or any Class 5–10 competition paper.
Worked example: Two dice are rolled together. What is the probability that the two numbers add up to 9? 1/9
This is a probability question. Two dice give 6 × 6 = 36 pairs.
Pairs that add up to 9: (3, 6), (4, 5), (5, 4), (6, 3) — 4 pairs. 4/36 = 1/9.
Check: 36 ÷ 4 = 9, so 4 out of 36 is 1 out of 9 ✓
✏️ Practice
Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.
Right: 0 · Tried: 0
🏁 Topic 33 test
20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.
🏅 Sign in with Google to earn the
👑 Olympiad Grand Master badge when you pass — and a certificate when you finish all 13 topics of
Part 4 · Class 5–10 problem solving. You can still take the test without signing in.
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