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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 532 · 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? 9, 18, 17, 26, 25, 34, ? (a) 33 (b) 32 (c) 35 (d) 43
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  3. 3.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  4. 4.What comes next? 19, 28, 27, 36, 35, 44, ? (a) 53 (b) 43 (c) 42 (d) 45
  5. 5.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 32 (c) 33 (d) 35
  6. 6.What comes next? 6, 13, 8, 15, 10, 17, ? (a) 11 (b) 22 (c) 12 (d) 24
  7. 7.What comes next? 24, 28, 32, 36, 40, ? (a) 48 (b) 45 (c) 44 (d) 43
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  9. 9.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 21 (c) 18 (d) 20
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  11. 11.What comes next? 39, 37, 35, 33, 31, ? (a) 29 (b) 27 (c) 30 (d) 28
  12. 12.What comes next? 49, 42, 35, 28, 21, ? (a) 14 (b) 15 (c) 13 (d) 7
  13. 13.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 20 (d) 21
  14. 14.What comes next? 5, 10, 6, 11, 7, 12, ? (a) 8 (b) 7 (c) 16 (d) 17
  15. 15.What comes next? 7, 16, 10, 19, 13, 22, ? (a) 15 (b) 31 (c) 16 (d) 28
  16. 16.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 38 (c) 40 (d) 41
  17. 17.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 3 (c) 4 (d) 1
  18. 18.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 14 (c) 15 (d) 13
  19. 19.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 25 (c) 20 (d) 24
  20. 20.What comes next? 41, 38, 35, 32, 29, ? (a) 27 (b) 25 (c) 26 (d) 23
  21. 21.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 37 (c) 38 (d) 39
  22. 22.What comes next? 28, 26, 24, 22, 20, ? (a) 17 (b) 18 (c) 16 (d) 19
  23. 23.What comes next? 61, 52, 43, 34, 25, ? (a) 7 (b) 15 (c) 16 (d) 17
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 90 (d) 180
  25. 25.What comes next? 29, 41, 53, 65, 77, ? (a) 88 (b) 90 (c) 89 (d) 101
  26. 26.What comes next? 46, 40, 34, 28, 22, ? (a) 17 (b) 15 (c) 16 (d) 10
  27. 27.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 5 (c) 2 (d) 3
  28. 28.What comes next? 19, 22, 26, 31, 37, ? (a) 44 (b) 46 (c) 43 (d) 45
  29. 29.What comes next? 7, 12, 10, 15, 13, 18, ? (a) 20 (b) 16 (c) 15 (d) 23
  30. 30.What comes next? 17, 22, 18, 23, 19, 24, ? (a) 20 (b) 28 (c) 29 (d) 19
  31. 31.What comes next? 12, 14, 16, 18, 20, ? (a) 22 (b) 23 (c) 24 (d) 21
  32. 32.What comes next? 16, 24, 23, 31, 30, 38, ? (a) 39 (b) 37 (c) 36 (d) 46
  33. 33.What comes next? 39, 34, 29, 24, 19, ? (a) 14 (b) 15 (c) 9 (d) 13
  34. 34.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 21 (b) 17 (c) 16 (d) 23
  35. 35.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 43 (c) 42 (d) 41
  36. 36.What comes next? 16, 13, 10, 7, 4, ? (a) 3 (b) 1 (c) 2 (d) 4
  37. 37.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 28 (c) 27 (d) 29
  38. 38.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 24 (c) 23 (d) 25
  39. 39.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 33 (b) 27 (c) 30 (d) 28
  40. 40.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 35 (d) 34

Answer key

  1. 33
  2. 81
  3. 96
  4. 43
  5. 33
  6. 12
  7. 44
  8. 32
  9. 19
  10. 160
  11. 29
  12. 14
  13. 21
  14. 8
  15. 16
  16. 39
  17. 2
  18. 13
  19. 24
  20. 26
  21. 38
  22. 18
  23. 16
  24. 162
  25. 89
  26. 16
  27. 3
  28. 44
  29. 16
  30. 20
  31. 22
  32. 37
  33. 14
  34. 17
  35. 42
  36. 1
  37. 28
  38. 24
  39. 28
  40. 34

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