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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 605 · 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? 3, 4, 6, 9, 13, ? (a) 20 (b) 17 (c) 18 (d) 19
  2. 2.What comes next? 44, 36, 28, 20, 12, ? (a) 6 (b) 5 (c) 3 (d) 4
  3. 3.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 27 (d) 28
  4. 4.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 44 (c) 42 (d) 43
  5. 5.What comes next? 3, 14, 25, 36, 47, ? (a) 59 (b) 58 (c) 57 (d) 69
  6. 6.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 30 (c) 29 (d) 32
  7. 7.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 20 (c) 21 (d) 19
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  9. 9.What comes next? 26, 21, 16, 11, 6, ? (a) 1 (b) 3 (c) 2 (d) 4
  10. 10.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 12 (b) 11 (c) 18 (d) 16
  11. 11.What comes next? 21, 23, 25, 27, 29, ? (a) 33 (b) 30 (c) 32 (d) 31
  12. 12.What comes next? 24, 26, 28, 30, 32, ? (a) 33 (b) 36 (c) 34 (d) 35
  13. 13.What comes next? 40, 36, 32, 28, 24, ? (a) 16 (b) 21 (c) 20 (d) 19
  14. 14.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  15. 15.What comes next? 38, 33, 28, 23, 18, ? (a) 14 (b) 12 (c) 13 (d) 8
  16. 16.What comes next? 8, 10, 12, 14, 16, ? (a) 19 (b) 18 (c) 17 (d) 20
  17. 17.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 38 (c) 39 (d) 37
  18. 18.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 22 (c) 18 (d) 21
  19. 19.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 49 (c) 43 (d) 42
  20. 20.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 34 (b) 27 (c) 30 (d) 28
  21. 21.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 33 (c) 30 (d) 32
  22. 22.What comes next? 4, 13, 22, 31, 40, ? (a) 58 (b) 50 (c) 48 (d) 49
  23. 23.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 23 (c) 22 (d) 14
  24. 24.What comes next? 23, 20, 17, 14, 11, ? (a) 7 (b) 8 (c) 5 (d) 9
  25. 25.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 11 (b) 12 (c) 7 (d) 6
  26. 26.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 20 (b) 14 (c) 19 (d) 15
  27. 27.What comes next? 18, 25, 24, 31, 30, 37, ? (a) 44 (b) 38 (c) 35 (d) 36
  28. 28.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 35 (c) 36 (d) 34
  29. 29.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 25 (c) 26 (d) 24
  30. 30.What comes next? 42, 35, 28, 21, 14, ? (a) 8 (b) 6 (c) 9 (d) 7
  31. 31.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 19 (c) 18 (d) 17
  32. 32.What comes next? 5, 15, 25, 35, 45, ? (a) 65 (b) 56 (c) 54 (d) 55
  33. 33.What comes next? 23, 25, 27, 29, 31, ? (a) 35 (b) 32 (c) 34 (d) 33
  34. 34.What comes next? 20, 18, 16, 14, 12, ? (a) 10 (b) 8 (c) 11 (d) 9
  35. 35.What comes next? 5, 11, 8, 14, 11, 17, ? (a) 13 (b) 14 (c) 20 (d) 23
  36. 36.What comes next? 20, 25, 22, 27, 24, 29, ? (a) 34 (b) 25 (c) 26 (d) 32
  37. 37.What comes next? 53, 47, 41, 35, 29, ? (a) 22 (b) 24 (c) 23 (d) 17
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 120 (d) 161
  39. 39.What comes next? 3, 11, 6, 14, 9, 17, ? (a) 22 (b) 25 (c) 12 (d) 11
  40. 40.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 26 (c) 23 (d) 24

Answer key

  1. 18
  2. 4
  3. 27
  4. 42
  5. 58
  6. 30
  7. 20
  8. 32
  9. 1
  10. 12
  11. 31
  12. 34
  13. 20
  14. 162
  15. 13
  16. 18
  17. 38
  18. 22
  19. 42
  20. 28
  21. 31
  22. 49
  23. 22
  24. 8
  25. 7
  26. 15
  27. 36
  28. 35
  29. 25
  30. 7
  31. 17
  32. 55
  33. 33
  34. 10
  35. 14
  36. 26
  37. 23
  38. 160
  39. 12
  40. 24

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