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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 402 · 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? 49, 40, 31, 22, 13, ? (a) 3 (b) 5 (c) 6 (d) 4
  2. 2.What comes next? 60, 52, 44, 36, 28, ? (a) 19 (b) 21 (c) 20 (d) 12
  3. 3.What comes next? 49, 44, 39, 34, 29, ? (a) 19 (b) 24 (c) 25 (d) 23
  4. 4.What comes next? 55, 46, 37, 28, 19, ? (a) 10 (b) 9 (c) 1 (d) 11
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  6. 6.What comes next? 48, 43, 38, 33, 28, ? (a) 22 (b) 23 (c) 18 (d) 24
  7. 7.What comes next? 50, 45, 40, 35, 30, ? (a) 26 (b) 24 (c) 20 (d) 25
  8. 8.What comes next? 47, 41, 35, 29, 23, ? (a) 18 (b) 17 (c) 11 (d) 16
  9. 9.What comes next? 19, 26, 24, 31, 29, 36, ? (a) 38 (b) 43 (c) 33 (d) 34
  10. 10.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 27 (c) 29 (d) 30
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  12. 12.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 45 (c) 46 (d) 47
  13. 13.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  15. 15.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 36 (c) 37 (d) 34
  16. 16.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 40 (c) 41 (d) 42
  17. 17.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 8 (c) 10 (d) 9
  18. 18.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 17 (d) 19
  19. 19.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 39 (c) 37 (d) 38
  20. 20.What comes next? 26, 22, 18, 14, 10, ? (a) 2 (b) 7 (c) 5 (d) 6
  21. 21.What comes next? 43, 35, 27, 19, 11, ? (a) 5 (b) 3 (c) 4 (d) 2
  22. 22.What comes next? 14, 21, 20, 27, 26, 33, ? (a) 34 (b) 32 (c) 40 (d) 31
  23. 23.What comes next? 17, 14, 11, 8, 5, ? (a) 4 (b) 1 (c) 2 (d) 3
  24. 24.What comes next? 2, 4, 6, 8, 10, ? (a) 11 (b) 12 (c) 14 (d) 13
  25. 25.What comes next? 26, 34, 42, 50, 58, ? (a) 74 (b) 67 (c) 65 (d) 66
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  27. 27.What comes next? 60, 53, 46, 39, 32, ? (a) 26 (b) 24 (c) 18 (d) 25
  28. 28.What comes next? 40, 34, 28, 22, 16, ? (a) 4 (b) 11 (c) 10 (d) 9
  29. 29.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 8 (b) 9 (c) 20 (d) 19
  30. 30.What comes next? 35, 29, 23, 17, 11, ? (a) 4 (b) 5 (c) 6 (d) 7
  31. 31.What comes next? 12, 17, 13, 18, 14, 19, ? (a) 23 (b) 14 (c) 15 (d) 24
  32. 32.What comes next? 24, 28, 32, 36, 40, ? (a) 45 (b) 48 (c) 43 (d) 44
  33. 33.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 33 (c) 31 (d) 30
  34. 34.What comes next? 7, 15, 23, 31, 39, ? (a) 46 (b) 55 (c) 48 (d) 47
  35. 35.What comes next? 45, 41, 37, 33, 29, ? (a) 21 (b) 24 (c) 26 (d) 25
  36. 36.What comes next? 11, 19, 17, 25, 23, 31, ? (a) 29 (b) 39 (c) 33 (d) 28
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  38. 38.What comes next? 26, 31, 36, 41, 46, ? (a) 56 (b) 51 (c) 50 (d) 52
  39. 39.What comes next? 3, 9, 7, 13, 11, 17, ? (a) 23 (b) 14 (c) 15 (d) 19
  40. 40.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 26 (b) 28 (c) 23 (d) 24

Answer key

  1. 4
  2. 20
  3. 24
  4. 10
  5. 162
  6. 23
  7. 25
  8. 17
  9. 34
  10. 28
  11. 243
  12. 45
  13. 64
  14. 81
  15. 35
  16. 41
  17. 9
  18. 17
  19. 37
  20. 6
  21. 3
  22. 32
  23. 2
  24. 12
  25. 66
  26. 160
  27. 25
  28. 10
  29. 9
  30. 5
  31. 15
  32. 44
  33. 31
  34. 47
  35. 25
  36. 29
  37. 128
  38. 51
  39. 15
  40. 24

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