🔺 🔵 🔺 🔵 … what comes next? 🍎 🍌 ? 🍌 — what is missing? And which colour comes 20th in red, blue, green, red, blue, green …? Every repeating pattern question has the same secret: find the part that repeats.
Use the remainder — “the remainder after dividing by the pattern length tells you the place in the pattern”
Find the part that repeats (🔺 🔵, or red, blue, green) and count how long it is. What comes next or what is missing? Say the pattern out loud and keep going.
Divide the position you want by that length and find the remainder.
Remainder 1 → first item, remainder 2 → second item … remainder 0 → the last item of the pattern.
Use it for: Pattern questions in Olympiads, bead and rangoli patterns, and days of the week.
Worked example: This pattern keeps repeating: red, blue, green, red, blue, green, … Which comes 20th? Blue
The pattern repeats every 3 items: red, blue, green.
20 ÷ 3 = 6 remainder 2: six full rounds, then 2 more.
Item 2 of the pattern is blue.
Check: Positions 3, 6 … 18 are green, so 19 is red and 20 is blue ✓
Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.
Right: 0 · Tried: 0
🏁 Lesson 5 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
🔁 Pattern Prophet badge when you pass — and a certificate when you finish all 10 lessons of
Part 1 · Patterns. You can still take the test without signing in.
👩🏫 Logical reasoning 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.
