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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 456 · 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? 43, 40, 37, 34, 31, ? (a) 29 (b) 27 (c) 25 (d) 28
  2. 2.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 52 (c) 51 (d) 53
  3. 3.What comes next? 46, 38, 30, 22, 14, ? (a) 6 (b) 7 (c) 8 (d) 5
  4. 4.What comes next? 7, 18, 29, 40, 51, ? (a) 73 (b) 61 (c) 62 (d) 63
  5. 5.What comes next? 51, 46, 41, 36, 31, ? (a) 21 (b) 25 (c) 27 (d) 26
  6. 6.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120
  7. 7.What comes next? 7, 15, 23, 31, 39, ? (a) 48 (b) 47 (c) 46 (d) 55
  8. 8.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 4 (b) 10 (c) 3 (d) 11
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  10. 10.What comes next? 24, 30, 36, 42, 48, ? (a) 54 (b) 55 (c) 60 (d) 53
  11. 11.What comes next? 62, 54, 46, 38, 30, ? (a) 22 (b) 14 (c) 23 (d) 21
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  13. 13.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 8 (c) 9 (d) 10
  14. 14.What comes next? 11, 19, 12, 20, 13, 21, ? (a) 13 (b) 28 (c) 14 (d) 29
  15. 15.What comes next? 19, 25, 31, 37, 43, ? (a) 49 (b) 55 (c) 48 (d) 50
  16. 16.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 19 (b) 21 (c) 15 (d) 14
  17. 17.What comes next? 13, 18, 15, 20, 17, 22, ? (a) 27 (b) 25 (c) 19 (d) 18
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  19. 19.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 12 (c) 4 (d) 11
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  21. 21.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 15 (c) 16 (d) 14
  22. 22.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 23 (b) 24 (c) 30 (d) 26
  23. 23.What comes next? 17, 26, 22, 31, 27, 36, ? (a) 40 (b) 45 (c) 31 (d) 32
  24. 24.What comes next? 14, 12, 10, 8, 6, ? (a) 3 (b) 2 (c) 5 (d) 4
  25. 25.What comes next? 27, 22, 17, 12, 7, ? (a) 4 (b) 1 (c) 2 (d) 3
  26. 26.What comes next? 15, 20, 25, 30, 35, ? (a) 40 (b) 39 (c) 45 (d) 41
  27. 27.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 2 (c) 5 (d) 4
  28. 28.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 8 (c) 11 (d) 10
  29. 29.What comes next? 34, 28, 22, 16, 10, ? (a) 5 (b) 4 (c) 6 (d) 3
  30. 30.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 34 (c) 36 (d) 35
  31. 31.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  32. 32.What comes next? 12, 19, 26, 33, 40, ? (a) 46 (b) 54 (c) 47 (d) 48
  33. 33.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  34. 34.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 19 (b) 24 (c) 18 (d) 21
  35. 35.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 19 (c) 21 (d) 22
  36. 36.What comes next? 10, 14, 18, 22, 26, ? (a) 34 (b) 31 (c) 30 (d) 29
  37. 37.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 62 (c) 63 (d) 61
  38. 38.What comes next? 18, 26, 24, 32, 30, 38, ? (a) 36 (b) 40 (c) 46 (d) 35
  39. 39.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 33 (d) 34
  40. 40.What comes next? 11, 9, 7, 5, 3, ? (a) 1 (b) 3 (c) 4 (d) 2

Answer key

  1. 28
  2. 52
  3. 6
  4. 62
  5. 26
  6. 160
  7. 47
  8. 4
  9. 162
  10. 54
  11. 22
  12. 64
  13. 9
  14. 14
  15. 49
  16. 15
  17. 19
  18. 32
  19. 12
  20. 81
  21. 15
  22. 24
  23. 32
  24. 4
  25. 2
  26. 40
  27. 3
  28. 11
  29. 4
  30. 35
  31. 243
  32. 47
  33. 28
  34. 19
  35. 20
  36. 30
  37. 62
  38. 36
  39. 33
  40. 1

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