Maths Olympiad · topic 14 of 33 · free

Number analogies and logical reasoning — Maths Olympiad practice

Number analogies give you pairs that follow one secret rule — add, multiply, multiply and add, square, or cube. Test your guess on every pair before you use it, because a rule that fits one pair can fail on the next.

▶ Watch how it works

Got it? Practise ↓

How to solve it

One rule for every pair — “a rule that works for only one pair is a guess; it must work for all of them”

Look at the first pair and guess a rule (add? multiply? multiply and add? square?).
Test the guess on every other pair. If it fails, try another.
Use the rule that works for all pairs on the new number.

Use it for: Analogy, number-relation and “find the missing number” reasoning questions.

Worked example: Every pair follows the same rule: 2 : 5, 4 : 9, 6 : 13. What is 7 : ? → 15

Test “double and add 1”: 2 × 2 + 1 = 5, 4 × 2 + 1 = 9, 6 × 2 + 1 = 13 — it fits every pair.
Use it on 7: 7 × 2 + 1 = 15.

Check: “Add 3” fits 2 : 5 but gives 4 : 7, not 9 — so it is the wrong rule, and only “double and add 1” fits all three ✓

▶ Watch it animated

✓ Written and checked by the TalentJR team · Updated 13 Oct 2026 · How we make our lessons

✏️ Practice

Work it out on paper, then tap the answer you think is right. Stuck? Press “Show me how” to see every step.

Right: 0 · Tried: 0

🏁 Topic 14 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 🧠 Logic Legend badge when you pass — and a certificate when you finish all 7 topics of Part 2 · Class 5–7. You can still take the test without signing in.

🖨️ Logical Reasoning Worksheet for Maths Olympiad

✨ Free AI tutor

Ask the AI tutor about this topic

Why does it work? When should you use it? Ask in English, मराठी or हिंदी.

👩‍🏫 Maths Olympiad classes — live online, request a call back

Prefer a real teacher? TalentJR teachers take live online classes anywhere in India. Tell us what you need and our team will call you with timings and fees.

Live online classesSmall groups or 1:1 with a teacher, from home, any city.

We call you backOur team asks what your child needs, then shares timings and fees.

Home tutor?We are still building our list of home tutors — ask on the call if there is one near you.

Badges, certificates & gifts A badge for every topic you pass, a certificate for every part you finish, plus TalentJR Points for daily practice. Mental maths Faster calculation helps in Olympiads — try Mental Maths Mastery.