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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 592 · 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? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  2. 2.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 2 (c) 1 (d) 3
  3. 3.What comes next? 33, 29, 25, 21, 17, ? (a) 13 (b) 14 (c) 12 (d) 9
  4. 4.What comes next? 16, 28, 40, 52, 64, ? (a) 77 (b) 88 (c) 75 (d) 76
  5. 5.What comes next? 29, 35, 41, 47, 53, ? (a) 65 (b) 58 (c) 59 (d) 60
  6. 6.What comes next? 71, 62, 53, 44, 35, ? (a) 17 (b) 27 (c) 25 (d) 26
  7. 7.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 4 (c) 7 (d) 5
  8. 8.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 4 (c) 8 (d) 9
  9. 9.What comes next? 27, 34, 41, 48, 55, ? (a) 62 (b) 61 (c) 69 (d) 63
  10. 10.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 10 (c) 2 (d) 8
  11. 11.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 51 (c) 52 (d) 53
  12. 12.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 25 (b) 18 (c) 19 (d) 23
  13. 13.What comes next? 3, 9, 8, 14, 13, 19, ? (a) 25 (b) 18 (c) 20 (d) 17
  14. 14.What comes next? 23, 26, 29, 32, 35, ? (a) 41 (b) 37 (c) 39 (d) 38
  15. 15.What comes next? 53, 47, 41, 35, 29, ? (a) 23 (b) 17 (c) 24 (d) 22
  16. 16.What comes next? 13, 20, 27, 34, 41, ? (a) 48 (b) 49 (c) 55 (d) 47
  17. 17.What comes next? 16, 23, 19, 26, 22, 29, ? (a) 33 (b) 25 (c) 36 (d) 24
  18. 18.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 23 (c) 18 (d) 21
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  20. 20.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 28 (b) 27 (c) 30 (d) 33
  21. 21.What comes next? 7, 13, 12, 18, 17, 23, ? (a) 24 (b) 21 (c) 29 (d) 22
  22. 22.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  23. 23.What comes next? 9, 16, 11, 18, 13, 20, ? (a) 14 (b) 27 (c) 15 (d) 25
  24. 24.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 16 (c) 15 (d) 17
  25. 25.What comes next? 3, 13, 23, 33, 43, ? (a) 54 (b) 53 (c) 63 (d) 52
  26. 26.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 11 (c) 12 (d) 8
  27. 27.What comes next? 14, 16, 18, 20, 22, ? (a) 24 (b) 23 (c) 26 (d) 25
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  29. 29.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 26 (c) 25 (d) 28
  30. 30.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 26 (c) 29 (d) 27
  31. 31.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 4 (c) 1 (d) 3
  32. 32.What comes next? 15, 20, 25, 30, 35, ? (a) 40 (b) 41 (c) 39 (d) 45
  33. 33.What comes next? 11, 17, 12, 18, 13, 19, ? (a) 24 (b) 13 (c) 14 (d) 25
  34. 34.What comes next? 16, 21, 26, 31, 36, ? (a) 40 (b) 42 (c) 46 (d) 41
  35. 35.What comes next? 11, 19, 17, 25, 23, 31, ? (a) 33 (b) 39 (c) 28 (d) 29
  36. 36.What comes next? 59, 52, 45, 38, 31, ? (a) 23 (b) 25 (c) 17 (d) 24
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  38. 38.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 35 (c) 33 (d) 34
  39. 39.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 11 (d) 9
  40. 40.What comes next? 63, 55, 47, 39, 31, ? (a) 22 (b) 24 (c) 15 (d) 23

Answer key

  1. 160
  2. 2
  3. 13
  4. 76
  5. 59
  6. 26
  7. 5
  8. 9
  9. 62
  10. 9
  11. 52
  12. 19
  13. 18
  14. 38
  15. 23
  16. 48
  17. 25
  18. 22
  19. 32
  20. 28
  21. 22
  22. 96
  23. 15
  24. 16
  25. 53
  26. 12
  27. 24
  28. 192
  29. 26
  30. 27
  31. 2
  32. 40
  33. 14
  34. 41
  35. 29
  36. 24
  37. 128
  38. 34
  39. 9
  40. 23

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