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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 590 · 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) 32 (b) 33 (c) 24 (d) 40
  2. 2.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 16 (b) 8 (c) 9 (d) 15
  3. 3.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 28 (d) 27
  4. 4.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 39 (c) 41 (d) 40
  5. 5.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 39 (c) 37 (d) 38
  6. 6.What comes next? 10, 15, 13, 18, 16, 21, ? (a) 26 (b) 23 (c) 18 (d) 19
  7. 7.What comes next? 14, 26, 38, 50, 62, ? (a) 86 (b) 73 (c) 75 (d) 74
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 240 (d) 193
  9. 9.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 22 (c) 21 (d) 20
  10. 10.What comes next? 16, 20, 24, 28, 32, ? (a) 37 (b) 40 (c) 36 (d) 35
  11. 11.What comes next? 43, 36, 29, 22, 15, ? (a) 9 (b) 1 (c) 7 (d) 8
  12. 12.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 6 (c) 8 (d) 5
  13. 13.What comes next? 3, 13, 23, 33, 43, ? (a) 53 (b) 63 (c) 52 (d) 54
  14. 14.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 40 (c) 42 (d) 39
  15. 15.What comes next? 28, 25, 22, 19, 16, ? (a) 12 (b) 14 (c) 10 (d) 13
  16. 16.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 29 (c) 24 (d) 27
  17. 17.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 32 (c) 34 (d) 35
  18. 18.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 6 (c) 4 (d) 3
  19. 19.What comes next? 5, 14, 9, 18, 13, 22, ? (a) 31 (b) 27 (c) 16 (d) 17
  20. 20.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  21. 21.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 21 (b) 27 (c) 22 (d) 26
  22. 22.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 29 (c) 28 (d) 22
  23. 23.What comes next? 66, 58, 50, 42, 34, ? (a) 25 (b) 26 (c) 27 (d) 18
  24. 24.What comes next? 55, 48, 41, 34, 27, ? (a) 19 (b) 20 (c) 13 (d) 21
  25. 25.What comes next? 23, 27, 31, 35, 39, ? (a) 42 (b) 47 (c) 43 (d) 44
  26. 26.What comes next? 17, 25, 33, 41, 49, ? (a) 58 (b) 56 (c) 65 (d) 57
  27. 27.What comes next? 19, 27, 25, 33, 31, 39, ? (a) 37 (b) 36 (c) 47 (d) 41
  28. 28.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 34 (d) 37
  29. 29.What comes next? 10, 19, 18, 27, 26, 35, ? (a) 33 (b) 36 (c) 34 (d) 44
  30. 30.What comes next? 60, 54, 48, 42, 36, ? (a) 29 (b) 30 (c) 24 (d) 31
  31. 31.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  32. 32.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 9 (c) 10 (d) 8
  33. 33.What comes next? 71, 62, 53, 44, 35, ? (a) 17 (b) 25 (c) 27 (d) 26
  34. 34.What comes next? 45, 41, 37, 33, 29, ? (a) 21 (b) 26 (c) 24 (d) 25
  35. 35.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 33 (c) 34 (d) 32
  36. 36.What comes next? 41, 33, 25, 17, 9, ? (a) 1 (b) 4 (c) 2 (d) 3
  37. 37.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 39 (c) 40 (d) 38
  38. 38.What comes next? 16, 24, 32, 40, 48, ? (a) 57 (b) 55 (c) 56 (d) 64
  39. 39.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  40. 40.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 50 (c) 51 (d) 52

Answer key

  1. 32
  2. 9
  3. 27
  4. 39
  5. 37
  6. 19
  7. 74
  8. 192
  9. 20
  10. 36
  11. 8
  12. 6
  13. 53
  14. 40
  15. 13
  16. 25
  17. 33
  18. 4
  19. 17
  20. 64
  21. 22
  22. 28
  23. 26
  24. 20
  25. 43
  26. 57
  27. 37
  28. 35
  29. 34
  30. 30
  31. 243
  32. 9
  33. 26
  34. 25
  35. 33
  36. 1
  37. 39
  38. 56
  39. 42
  40. 50

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