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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 589 · 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? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  3. 3.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 27 (c) 25 (d) 26
  4. 4.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 28 (c) 27 (d) 30
  5. 5.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 3 (c) 7 (d) 8
  6. 6.What comes next? 29, 36, 43, 50, 57, ? (a) 63 (b) 65 (c) 64 (d) 71
  7. 7.What comes next? 14, 19, 24, 29, 34, ? (a) 38 (b) 40 (c) 39 (d) 44
  8. 8.What comes next? 62, 54, 46, 38, 30, ? (a) 14 (b) 22 (c) 21 (d) 23
  9. 9.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 25 (b) 28 (c) 31 (d) 26
  10. 10.What comes next? 37, 34, 31, 28, 25, ? (a) 22 (b) 21 (c) 19 (d) 23
  11. 11.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 30 (c) 28 (d) 29
  12. 12.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 9 (c) 8 (d) 10
  13. 13.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 22 (c) 24 (d) 25
  14. 14.What comes next? 13, 22, 31, 40, 49, ? (a) 67 (b) 57 (c) 58 (d) 59
  15. 15.What comes next? 14, 23, 15, 24, 16, 25, ? (a) 16 (b) 34 (c) 17 (d) 33
  16. 16.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 32 (c) 33 (d) 35
  17. 17.What comes next? 5, 15, 25, 35, 45, ? (a) 65 (b) 55 (c) 56 (d) 54
  18. 18.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 25 (b) 27 (c) 30 (d) 24
  19. 19.What comes next? 16, 24, 20, 28, 24, 32, ? (a) 36 (b) 27 (c) 28 (d) 40
  20. 20.What comes next? 3, 10, 17, 24, 31, ? (a) 39 (b) 45 (c) 38 (d) 37
  21. 21.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 12 (c) 13 (d) 11
  22. 22.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 23 (b) 18 (c) 19 (d) 24
  23. 23.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 11 (c) 10 (d) 9
  24. 24.What comes next? 2, 7, 12, 17, 22, ? (a) 28 (b) 32 (c) 26 (d) 27
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  26. 26.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 17 (d) 18
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  28. 28.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 29 (c) 28 (d) 31
  29. 29.What comes next? 50, 44, 38, 32, 26, ? (a) 21 (b) 19 (c) 20 (d) 14
  30. 30.What comes next? 67, 59, 51, 43, 35, ? (a) 27 (b) 26 (c) 28 (d) 19
  31. 31.What comes next? 28, 36, 44, 52, 60, ? (a) 76 (b) 67 (c) 68 (d) 69
  32. 32.What comes next? 11, 22, 33, 44, 55, ? (a) 77 (b) 65 (c) 66 (d) 67
  33. 33.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 18 (b) 21 (c) 19 (d) 26
  34. 34.What comes next? 38, 31, 24, 17, 10, ? (a) 3 (b) 4 (c) 2 (d) 5
  35. 35.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 40 (c) 39 (d) 37
  36. 36.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 5 (c) 6 (d) 4
  37. 37.What comes next? 59, 51, 43, 35, 27, ? (a) 20 (b) 11 (c) 19 (d) 18
  38. 38.What comes next? 8, 14, 12, 18, 16, 22, ? (a) 19 (b) 20 (c) 28 (d) 24
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  40. 40.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 28 (b) 23 (c) 30 (d) 24

Answer key

  1. 32
  2. 81
  3. 25
  4. 28
  5. 7
  6. 64
  7. 39
  8. 22
  9. 26
  10. 22
  11. 30
  12. 9
  13. 23
  14. 58
  15. 17
  16. 33
  17. 55
  18. 25
  19. 28
  20. 38
  21. 12
  22. 19
  23. 10
  24. 27
  25. 64
  26. 18
  27. 162
  28. 29
  29. 20
  30. 27
  31. 68
  32. 66
  33. 19
  34. 3
  35. 38
  36. 5
  37. 19
  38. 20
  39. 160
  40. 24

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