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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 652 · 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? 20, 31, 42, 53, 64, ? (a) 86 (b) 76 (c) 75 (d) 74
  2. 2.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 19 (b) 24 (c) 25 (d) 20
  3. 3.What comes next? 37, 32, 27, 22, 17, ? (a) 13 (b) 12 (c) 11 (d) 7
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  5. 5.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 7 (b) 11 (c) 6 (d) 12
  6. 6.What comes next? 45, 41, 37, 33, 29, ? (a) 25 (b) 26 (c) 24 (d) 21
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  8. 8.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 8 (c) 9 (d) 2
  9. 9.What comes next? 41, 33, 25, 17, 9, ? (a) 1 (b) 2 (c) 4 (d) 3
  10. 10.What comes next? 20, 26, 32, 38, 44, ? (a) 56 (b) 49 (c) 51 (d) 50
  11. 11.What comes next? 10, 15, 11, 16, 12, 17, ? (a) 22 (b) 12 (c) 13 (d) 21
  12. 12.What comes next? 15, 22, 29, 36, 43, ? (a) 57 (b) 49 (c) 51 (d) 50
  13. 13.What comes next? 2, 9, 8, 15, 14, 21, ? (a) 28 (b) 22 (c) 20 (d) 19
  14. 14.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 32 (c) 30 (d) 33
  15. 15.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 40 (b) 30 (c) 29 (d) 32
  16. 16.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 25 (b) 29 (c) 24 (d) 34
  17. 17.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 11 (b) 10 (c) 19 (d) 17
  18. 18.What comes next? 42, 34, 26, 18, 10, ? (a) 2 (b) 1 (c) 3 (d) 4
  19. 19.What comes next? 19, 30, 41, 52, 63, ? (a) 74 (b) 73 (c) 75 (d) 85
  20. 20.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 14 (b) 21 (c) 23 (d) 15
  21. 21.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 16 (b) 18 (c) 20 (d) 15
  22. 22.What comes next? 68, 60, 52, 44, 36, ? (a) 28 (b) 20 (c) 27 (d) 29
  23. 23.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  24. 24.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 46 (c) 47 (d) 48
  25. 25.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 44 (c) 42 (d) 41
  26. 26.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 24 (c) 23 (d) 25
  27. 27.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  28. 28.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 2 (c) 5 (d) 3
  29. 29.What comes next? 12, 19, 18, 25, 24, 31, ? (a) 32 (b) 29 (c) 30 (d) 38
  30. 30.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 1 (c) 2 (d) 3
  31. 31.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 47 (c) 44 (d) 45
  32. 32.What comes next? 7, 12, 9, 14, 11, 16, ? (a) 21 (b) 19 (c) 13 (d) 12
  33. 33.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 19 (c) 18 (d) 21
  34. 34.What comes next? 64, 55, 46, 37, 28, ? (a) 18 (b) 20 (c) 19 (d) 10
  35. 35.What comes next? 4, 12, 5, 13, 6, 14, ? (a) 6 (b) 21 (c) 22 (d) 7
  36. 36.What comes next? 13, 21, 18, 26, 23, 31, ? (a) 39 (b) 28 (c) 34 (d) 27
  37. 37.What comes next? 8, 17, 12, 21, 16, 25, ? (a) 34 (b) 19 (c) 30 (d) 20
  38. 38.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 30 (c) 33 (d) 32
  39. 39.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 28 (c) 30 (d) 29
  40. 40.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 15 (b) 19 (c) 14 (d) 20

Answer key

  1. 75
  2. 20
  3. 12
  4. 96
  5. 7
  6. 25
  7. 162
  8. 9
  9. 1
  10. 50
  11. 13
  12. 50
  13. 20
  14. 31
  15. 30
  16. 25
  17. 11
  18. 2
  19. 74
  20. 15
  21. 16
  22. 28
  23. 32
  24. 47
  25. 42
  26. 24
  27. 192
  28. 4
  29. 30
  30. 1
  31. 45
  32. 13
  33. 19
  34. 19
  35. 7
  36. 28
  37. 20
  38. 31
  39. 28
  40. 15

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