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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 363 · 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? 29, 34, 39, 44, 49, ? (a) 53 (b) 59 (c) 54 (d) 55
  2. 2.What comes next? 66, 57, 48, 39, 30, ? (a) 22 (b) 20 (c) 21 (d) 12
  3. 3.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 21 (c) 20 (d) 19
  4. 4.What comes next? 19, 23, 28, 34, 41, ? (a) 50 (b) 51 (c) 48 (d) 49
  5. 5.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 30 (b) 28 (c) 25 (d) 26
  6. 6.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 35 (c) 37 (d) 36
  7. 7.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  8. 8.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 2 (c) 3 (d) 5
  9. 9.What comes next? 4, 12, 11, 19, 18, 26, ? (a) 34 (b) 27 (c) 24 (d) 25
  10. 10.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 36 (c) 37 (d) 38
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  12. 12.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 36 (c) 34 (d) 35
  13. 13.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 39 (c) 40 (d) 41
  14. 14.What comes next? 56, 48, 40, 32, 24, ? (a) 15 (b) 8 (c) 17 (d) 16
  15. 15.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 45 (c) 47 (d) 46
  16. 16.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 40 (c) 38 (d) 39
  17. 17.What comes next? 33, 29, 25, 21, 17, ? (a) 12 (b) 14 (c) 13 (d) 9
  18. 18.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 2 (c) 1 (d) 4
  19. 19.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 31 (b) 24 (c) 27 (d) 25
  20. 20.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 30 (c) 29 (d) 31
  21. 21.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  22. 22.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  23. 23.What comes next? 5, 11, 17, 23, 29, ? (a) 36 (b) 41 (c) 34 (d) 35
  24. 24.What comes next? 30, 25, 20, 15, 10, ? (a) 5 (b) 6 (c) 4 (d) 7
  25. 25.What comes next? 6, 10, 14, 18, 22, ? (a) 25 (b) 30 (c) 26 (d) 27
  26. 26.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 10 (c) 9 (d) 14
  27. 27.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 23 (b) 18 (c) 17 (d) 20
  28. 28.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 19 (c) 18 (d) 16
  29. 29.What comes next? 22, 30, 38, 46, 54, ? (a) 62 (b) 61 (c) 63 (d) 70
  30. 30.What comes next? 10, 17, 24, 31, 38, ? (a) 44 (b) 46 (c) 45 (d) 52
  31. 31.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 29 (c) 28 (d) 31
  32. 32.What comes next? 19, 28, 20, 29, 21, 30, ? (a) 22 (b) 39 (c) 38 (d) 21
  33. 33.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 23 (b) 21 (c) 16 (d) 17
  34. 34.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 24 (c) 25 (d) 26
  35. 35.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 29 (c) 27 (d) 26
  36. 36.What comes next? 8, 16, 24, 32, 40, ? (a) 56 (b) 49 (c) 48 (d) 47
  37. 37.What comes next? 4, 6, 8, 10, 12, ? (a) 14 (b) 13 (c) 16 (d) 15
  38. 38.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 22 (b) 11 (c) 21 (d) 10
  39. 39.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 38 (c) 36 (d) 39
  40. 40.What comes next? 14, 18, 22, 26, 30, ? (a) 35 (b) 34 (c) 33 (d) 38

Answer key

  1. 54
  2. 21
  3. 20
  4. 49
  5. 26
  6. 36
  7. 96
  8. 4
  9. 25
  10. 37
  11. 243
  12. 34
  13. 40
  14. 16
  15. 46
  16. 39
  17. 13
  18. 2
  19. 25
  20. 30
  21. 192
  22. 32
  23. 35
  24. 5
  25. 26
  26. 10
  27. 18
  28. 19
  29. 62
  30. 45
  31. 29
  32. 22
  33. 17
  34. 24
  35. 27
  36. 48
  37. 14
  38. 11
  39. 37
  40. 34

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