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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 180 · 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? 2, 6, 5, 9, 8, 12, ? (a) 16 (b) 13 (c) 10 (d) 11
  2. 2.What comes next? 9, 17, 25, 33, 41, ? (a) 48 (b) 50 (c) 57 (d) 49
  3. 3.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 37 (d) 35
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  5. 5.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 49 (d) 50
  6. 6.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 46 (c) 39 (d) 40
  7. 7.What comes next? 60, 53, 46, 39, 32, ? (a) 18 (b) 24 (c) 26 (d) 25
  8. 8.What comes next? 51, 46, 41, 36, 31, ? (a) 27 (b) 21 (c) 25 (d) 26
  9. 9.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 26 (c) 27 (d) 24
  10. 10.What comes next? 27, 33, 39, 45, 51, ? (a) 58 (b) 56 (c) 63 (d) 57
  11. 11.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 8 (c) 6 (d) 5
  12. 12.What comes next? 59, 53, 47, 41, 35, ? (a) 28 (b) 23 (c) 30 (d) 29
  13. 13.What comes next? 25, 30, 35, 40, 45, ? (a) 51 (b) 55 (c) 49 (d) 50
  14. 14.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 61 (c) 62 (d) 63
  15. 15.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 26 (b) 23 (c) 28 (d) 24
  16. 16.What comes next? 4, 7, 10, 13, 16, ? (a) 18 (b) 20 (c) 19 (d) 22
  17. 17.What comes next? 24, 29, 34, 39, 44, ? (a) 54 (b) 50 (c) 49 (d) 48
  18. 18.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 20 (c) 19 (d) 12
  19. 19.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 47 (c) 46 (d) 45
  20. 20.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 35 (c) 38 (d) 36
  21. 21.What comes next? 36, 30, 24, 18, 12, ? (a) 7 (b) 6 (c) 5 (d) 8
  22. 22.What comes next? 8, 13, 18, 23, 28, ? (a) 38 (b) 32 (c) 33 (d) 34
  23. 23.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  24. 24.What comes next? 53, 47, 41, 35, 29, ? (a) 24 (b) 23 (c) 17 (d) 22
  25. 25.What comes next? 22, 18, 14, 10, 6, ? (a) 4 (b) 2 (c) 1 (d) 3
  26. 26.What comes next? 20, 26, 24, 30, 28, 34, ? (a) 32 (b) 36 (c) 40 (d) 31
  27. 27.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 9 (b) 11 (c) 6 (d) 7
  28. 28.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  29. 29.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 32 (c) 30 (d) 31
  30. 30.What comes next? 22, 26, 30, 34, 38, ? (a) 42 (b) 46 (c) 41 (d) 43
  31. 31.What comes next? 12, 20, 17, 25, 22, 30, ? (a) 38 (b) 33 (c) 26 (d) 27
  32. 32.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 26 (c) 29 (d) 27
  33. 33.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 51 (c) 47 (d) 46
  34. 34.What comes next? 17, 22, 19, 24, 21, 26, ? (a) 22 (b) 31 (c) 23 (d) 29
  35. 35.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 45 (c) 42 (d) 44
  36. 36.What comes next? 52, 46, 40, 34, 28, ? (a) 23 (b) 22 (c) 16 (d) 21
  37. 37.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 37 (c) 35 (d) 38
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 200 (d) 161
  39. 39.What comes next? 51, 45, 39, 33, 27, ? (a) 21 (b) 20 (c) 15 (d) 22
  40. 40.What comes next? 6, 17, 28, 39, 50, ? (a) 62 (b) 61 (c) 72 (d) 60

Answer key

  1. 11
  2. 49
  3. 35
  4. 81
  5. 49
  6. 39
  7. 25
  8. 26
  9. 25
  10. 57
  11. 6
  12. 29
  13. 50
  14. 62
  15. 24
  16. 19
  17. 49
  18. 19
  19. 45
  20. 36
  21. 6
  22. 33
  23. 96
  24. 23
  25. 2
  26. 32
  27. 7
  28. 128
  29. 30
  30. 42
  31. 27
  32. 27
  33. 47
  34. 23
  35. 43
  36. 22
  37. 36
  38. 160
  39. 21
  40. 61

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