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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 476 · 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, 23, 21, 24, 22, 25, ? (a) 23 (b) 28 (c) 27 (d) 22
  2. 2.What comes next? 19, 27, 35, 43, 51, ? (a) 60 (b) 58 (c) 67 (d) 59
  3. 3.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 37 (c) 38 (d) 39
  4. 4.What comes next? 18, 24, 21, 27, 24, 30, ? (a) 26 (b) 33 (c) 27 (d) 36
  5. 5.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 2 (c) 1 (d) 3
  6. 6.What comes next? 11, 20, 16, 25, 21, 30, ? (a) 39 (b) 25 (c) 26 (d) 34
  7. 7.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 36 (c) 39 (d) 37
  8. 8.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 33 (c) 35 (d) 32
  9. 9.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 20 (b) 29 (c) 25 (d) 21
  10. 10.What comes next? 60, 51, 42, 33, 24, ? (a) 15 (b) 14 (c) 16 (d) 6
  11. 11.What comes next? 23, 29, 35, 41, 47, ? (a) 54 (b) 52 (c) 53 (d) 59
  12. 12.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 61 (c) 62 (d) 63
  13. 13.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 21 (c) 18 (d) 19
  14. 14.What comes next? 13, 22, 18, 27, 23, 32, ? (a) 41 (b) 27 (c) 28 (d) 36
  15. 15.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 33 (c) 31 (d) 30
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  17. 17.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 6 (d) 5
  18. 18.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 50 (c) 47 (d) 48
  19. 19.What comes next? 44, 39, 34, 29, 24, ? (a) 14 (b) 20 (c) 19 (d) 18
  20. 20.What comes next? 28, 30, 32, 34, 36, ? (a) 38 (b) 39 (c) 37 (d) 40
  21. 21.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 28 (c) 30 (d) 29
  22. 22.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 18 (c) 17 (d) 15
  23. 23.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 30 (b) 31 (c) 35 (d) 40
  24. 24.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 22 (c) 17 (d) 18
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  26. 26.What comes next? 43, 36, 29, 22, 15, ? (a) 9 (b) 8 (c) 7 (d) 1
  27. 27.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 31 (c) 32 (d) 34
  28. 28.What comes next? 31, 27, 23, 19, 15, ? (a) 10 (b) 11 (c) 7 (d) 12
  29. 29.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  30. 30.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 44 (c) 43 (d) 42
  31. 31.What comes next? 18, 26, 20, 28, 22, 30, ? (a) 24 (b) 38 (c) 36 (d) 23
  32. 32.What comes next? 18, 29, 40, 51, 62, ? (a) 74 (b) 73 (c) 84 (d) 72
  33. 33.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 31 (d) 30
  34. 34.What comes next? 23, 28, 33, 38, 43, ? (a) 47 (b) 48 (c) 53 (d) 49
  35. 35.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 9 (c) 8 (d) 6
  36. 36.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  37. 37.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 4 (b) 21 (c) 22 (d) 5
  38. 38.What comes next? 15, 21, 18, 24, 21, 27, ? (a) 33 (b) 24 (c) 30 (d) 23
  39. 39.What comes next? 18, 24, 30, 36, 42, ? (a) 47 (b) 54 (c) 48 (d) 49
  40. 40.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 39 (c) 36 (d) 38

Answer key

  1. 23
  2. 59
  3. 38
  4. 27
  5. 3
  6. 26
  7. 37
  8. 33
  9. 21
  10. 15
  11. 53
  12. 62
  13. 19
  14. 28
  15. 31
  16. 192
  17. 5
  18. 48
  19. 19
  20. 38
  21. 29
  22. 17
  23. 31
  24. 18
  25. 81
  26. 8
  27. 32
  28. 11
  29. 64
  30. 43
  31. 24
  32. 73
  33. 30
  34. 48
  35. 9
  36. 162
  37. 5
  38. 24
  39. 48
  40. 37

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