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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 606 · 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? 16, 13, 10, 7, 4, ? (a) 3 (b) 1 (c) 4 (d) 2
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  3. 3.What comes next? 40, 37, 34, 31, 28, ? (a) 26 (b) 25 (c) 24 (d) 22
  4. 4.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 9 (c) 14 (d) 15
  5. 5.What comes next? 15, 19, 24, 30, 37, ? (a) 47 (b) 46 (c) 44 (d) 45
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  7. 7.What comes next? 54, 49, 44, 39, 34, ? (a) 24 (b) 30 (c) 28 (d) 29
  8. 8.What comes next? 46, 40, 34, 28, 22, ? (a) 10 (b) 17 (c) 16 (d) 15
  9. 9.What comes next? 12, 22, 32, 42, 52, ? (a) 63 (b) 61 (c) 72 (d) 62
  10. 10.What comes next? 3, 8, 13, 18, 23, ? (a) 28 (b) 27 (c) 29 (d) 33
  11. 11.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 5 (c) 6 (d) 4
  12. 12.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 3 (c) 4 (d) 2
  13. 13.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 39 (c) 40 (d) 46
  14. 14.What comes next? 5, 11, 17, 23, 29, ? (a) 41 (b) 34 (c) 35 (d) 36
  15. 15.What comes next? 28, 39, 50, 61, 72, ? (a) 94 (b) 84 (c) 83 (d) 82
  16. 16.What comes next? 4, 10, 7, 13, 10, 16, ? (a) 19 (b) 12 (c) 22 (d) 13
  17. 17.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  18. 18.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 23 (b) 34 (c) 22 (d) 27
  19. 19.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 50 (c) 47 (d) 49
  20. 20.What comes next? 21, 27, 33, 39, 45, ? (a) 52 (b) 57 (c) 50 (d) 51
  21. 21.What comes next? 24, 33, 42, 51, 60, ? (a) 69 (b) 78 (c) 68 (d) 70
  22. 22.What comes next? 20, 25, 30, 35, 40, ? (a) 44 (b) 50 (c) 46 (d) 45
  23. 23.What comes next? 66, 57, 48, 39, 30, ? (a) 21 (b) 22 (c) 20 (d) 12
  24. 24.What comes next? 15, 22, 17, 24, 19, 26, ? (a) 33 (b) 20 (c) 31 (d) 21
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  26. 26.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  27. 27.What comes next? 32, 26, 20, 14, 8, ? (a) 1 (b) 2 (c) 4 (d) 3
  28. 28.What comes next? 29, 33, 37, 41, 45, ? (a) 48 (b) 53 (c) 49 (d) 50
  29. 29.What comes next? 66, 58, 50, 42, 34, ? (a) 18 (b) 25 (c) 27 (d) 26
  30. 30.What comes next? 11, 15, 19, 23, 27, ? (a) 31 (b) 35 (c) 30 (d) 32
  31. 31.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  32. 32.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  33. 33.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 45 (c) 49 (d) 44
  34. 34.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 17 (d) 16
  35. 35.What comes next? 17, 24, 23, 30, 29, 36, ? (a) 37 (b) 43 (c) 34 (d) 35
  36. 36.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 40 (c) 39 (d) 38
  37. 37.What comes next? 16, 23, 30, 37, 44, ? (a) 52 (b) 51 (c) 58 (d) 50
  38. 38.What comes next? 17, 22, 18, 23, 19, 24, ? (a) 19 (b) 20 (c) 28 (d) 29
  39. 39.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  40. 40.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 18 (b) 21 (c) 19 (d) 25

Answer key

  1. 1
  2. 64
  3. 25
  4. 14
  5. 45
  6. 243
  7. 29
  8. 16
  9. 62
  10. 28
  11. 5
  12. 2
  13. 39
  14. 35
  15. 83
  16. 13
  17. 160
  18. 23
  19. 48
  20. 51
  21. 69
  22. 45
  23. 21
  24. 21
  25. 81
  26. 162
  27. 2
  28. 49
  29. 26
  30. 31
  31. 128
  32. 96
  33. 44
  34. 17
  35. 35
  36. 38
  37. 51
  38. 20
  39. 32
  40. 19

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