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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 226 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 20, 28, 23, 31, 26, 34, ? (a) 39 (b) 28 (c) 42 (d) 29
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  3. 3.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 44 (c) 47 (d) 46
  4. 4.What comes next? 3, 9, 4, 10, 5, 11, ? (a) 16 (b) 6 (c) 17 (d) 5
  5. 5.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 35 (d) 34
  6. 6.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 37 (c) 40 (d) 39
  7. 7.What comes next? 2, 6, 10, 14, 18, ? (a) 22 (b) 23 (c) 21 (d) 26
  8. 8.What comes next? 9, 18, 13, 22, 17, 26, ? (a) 21 (b) 20 (c) 31 (d) 35
  9. 9.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 5 (d) 6
  10. 10.What comes next? 13, 20, 18, 25, 23, 30, ? (a) 27 (b) 37 (c) 28 (d) 32
  11. 11.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 161 (d) 200
  12. 12.What comes next? 2, 9, 3, 10, 4, 11, ? (a) 17 (b) 5 (c) 18 (d) 4
  13. 13.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 19 (b) 27 (c) 18 (d) 29
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  15. 15.What comes next? 10, 17, 12, 19, 14, 21, ? (a) 16 (b) 26 (c) 28 (d) 15
  16. 16.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 24 (b) 25 (c) 29 (d) 27
  17. 17.What comes next? 15, 19, 24, 30, 37, ? (a) 46 (b) 47 (c) 44 (d) 45
  18. 18.What comes next? 9, 17, 15, 23, 21, 29, ? (a) 26 (b) 37 (c) 27 (d) 31
  19. 19.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 17 (b) 20 (c) 18 (d) 22
  20. 20.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 18 (b) 11 (c) 16 (d) 12
  21. 21.What comes next? 22, 25, 28, 31, 34, ? (a) 36 (b) 37 (c) 38 (d) 40
  22. 22.What comes next? 4, 12, 20, 28, 36, ? (a) 45 (b) 44 (c) 52 (d) 43
  23. 23.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 20 (c) 21 (d) 19
  24. 24.What comes next? 11, 19, 14, 22, 17, 25, ? (a) 20 (b) 19 (c) 30 (d) 33
  25. 25.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 32 (d) 30
  26. 26.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 3 (c) 1 (d) 2
  27. 27.What comes next? 30, 34, 38, 42, 46, ? (a) 49 (b) 50 (c) 51 (d) 54
  28. 28.What comes next? 17, 26, 22, 31, 27, 36, ? (a) 40 (b) 31 (c) 32 (d) 45
  29. 29.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  30. 30.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 24 (b) 25 (c) 36 (d) 31
  31. 31.What comes next? 15, 18, 22, 27, 33, ? (a) 39 (b) 41 (c) 40 (d) 42
  32. 32.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  33. 33.What comes next? 15, 17, 19, 21, 23, ? (a) 24 (b) 25 (c) 26 (d) 27
  34. 34.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 31 (c) 30 (d) 32
  35. 35.What comes next? 6, 15, 9, 18, 12, 21, ? (a) 30 (b) 14 (c) 27 (d) 15
  36. 36.What comes next? 12, 10, 8, 6, 4, ? (a) 1 (b) 3 (c) 4 (d) 2
  37. 37.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 54 (c) 53 (d) 55
  38. 38.What comes next? 29, 32, 35, 38, 41, ? (a) 43 (b) 47 (c) 45 (d) 44
  39. 39.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 30 (c) 28 (d) 31
  40. 40.What comes next? 11, 20, 29, 38, 47, ? (a) 65 (b) 57 (c) 56 (d) 55

Answer key

  1. 29
  2. 81
  3. 45
  4. 6
  5. 33
  6. 38
  7. 22
  8. 21
  9. 5
  10. 28
  11. 160
  12. 5
  13. 19
  14. 32
  15. 16
  16. 25
  17. 45
  18. 27
  19. 18
  20. 12
  21. 37
  22. 44
  23. 20
  24. 20
  25. 31
  26. 1
  27. 50
  28. 32
  29. 64
  30. 25
  31. 40
  32. 192
  33. 25
  34. 30
  35. 15
  36. 2
  37. 54
  38. 44
  39. 29
  40. 56

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