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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 378 · 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? 70, 61, 52, 43, 34, ? (a) 26 (b) 16 (c) 24 (d) 25
  2. 2.What comes next? 16, 25, 34, 43, 52, ? (a) 61 (b) 62 (c) 60 (d) 70
  3. 3.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 32 (c) 34 (d) 33
  4. 4.What comes next? 6, 12, 11, 17, 16, 22, ? (a) 28 (b) 23 (c) 20 (d) 21
  5. 5.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 49 (d) 50
  6. 6.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 37 (c) 35 (d) 38
  7. 7.What comes next? 4, 10, 6, 12, 8, 14, ? (a) 9 (b) 18 (c) 10 (d) 20
  8. 8.What comes next? 23, 28, 33, 38, 43, ? (a) 47 (b) 49 (c) 53 (d) 48
  9. 9.What comes next? 46, 38, 30, 22, 14, ? (a) 6 (b) 8 (c) 5 (d) 7
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  11. 11.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 22 (c) 20 (d) 13
  12. 12.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 46 (c) 44 (d) 47
  13. 13.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 34 (b) 29 (c) 24 (d) 25
  14. 14.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 19 (b) 18 (c) 14 (d) 13
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  16. 16.What comes next? 23, 29, 35, 41, 47, ? (a) 53 (b) 52 (c) 59 (d) 54
  17. 17.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 23 (b) 19 (c) 25 (d) 18
  18. 18.What comes next? 13, 21, 29, 37, 45, ? (a) 53 (b) 54 (c) 52 (d) 61
  19. 19.What comes next? 31, 29, 27, 25, 23, ? (a) 19 (b) 22 (c) 21 (d) 20
  20. 20.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 8 (b) 11 (c) 9 (d) 13
  21. 21.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 23 (c) 22 (d) 24
  22. 22.What comes next? 59, 51, 43, 35, 27, ? (a) 11 (b) 20 (c) 19 (d) 18
  23. 23.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 40 (d) 38
  24. 24.What comes next? 7, 10, 13, 16, 19, ? (a) 22 (b) 21 (c) 25 (d) 23
  25. 25.What comes next? 9, 21, 33, 45, 57, ? (a) 68 (b) 69 (c) 70 (d) 81
  26. 26.What comes next? 10, 19, 15, 24, 20, 29, ? (a) 24 (b) 33 (c) 38 (d) 25
  27. 27.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 18 (c) 17 (d) 13
  28. 28.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 7 (c) 3 (d) 5
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  30. 30.What comes next? 17, 22, 21, 26, 25, 30, ? (a) 31 (b) 29 (c) 35 (d) 28
  31. 31.What comes next? 9, 14, 19, 24, 29, ? (a) 39 (b) 35 (c) 33 (d) 34
  32. 32.What comes next? 25, 37, 49, 61, 73, ? (a) 97 (b) 84 (c) 86 (d) 85
  33. 33.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 33 (c) 29 (d) 28
  34. 34.What comes next? 18, 27, 36, 45, 54, ? (a) 72 (b) 63 (c) 64 (d) 62
  35. 35.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 31 (d) 30
  36. 36.What comes next? 17, 26, 25, 34, 33, 42, ? (a) 51 (b) 43 (c) 40 (d) 41
  37. 37.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 22 (b) 23 (c) 35 (d) 33
  38. 38.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 41 (c) 40 (d) 45
  39. 39.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 15 (b) 20 (c) 16 (d) 18
  40. 40.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 14 (c) 13 (d) 5

Answer key

  1. 25
  2. 61
  3. 33
  4. 21
  5. 49
  6. 36
  7. 10
  8. 48
  9. 6
  10. 81
  11. 21
  12. 45
  13. 25
  14. 14
  15. 32
  16. 53
  17. 19
  18. 53
  19. 21
  20. 9
  21. 22
  22. 19
  23. 38
  24. 22
  25. 69
  26. 25
  27. 18
  28. 6
  29. 162
  30. 29
  31. 34
  32. 85
  33. 28
  34. 63
  35. 31
  36. 41
  37. 23
  38. 41
  39. 16
  40. 5

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