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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 387 · 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? 57, 51, 45, 39, 33, ? (a) 28 (b) 21 (c) 27 (d) 26
  2. 2.What comes next? 45, 39, 33, 27, 21, ? (a) 16 (b) 15 (c) 9 (d) 14
  3. 3.What comes next? 1, 9, 7, 15, 13, 21, ? (a) 18 (b) 29 (c) 23 (d) 19
  4. 4.What comes next? 19, 24, 21, 26, 23, 28, ? (a) 31 (b) 24 (c) 25 (d) 33
  5. 5.What comes next? 21, 26, 31, 36, 41, ? (a) 46 (b) 45 (c) 47 (d) 51
  6. 6.What comes next? 47, 42, 37, 32, 27, ? (a) 22 (b) 21 (c) 23 (d) 17
  7. 7.What comes next? 18, 15, 12, 9, 6, ? (a) 3 (b) 2 (c) 5 (d) 4
  8. 8.What comes next? 7, 9, 11, 13, 15, ? (a) 18 (b) 19 (c) 16 (d) 17
  9. 9.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 13 (c) 9 (d) 14
  10. 10.What comes next? 62, 55, 48, 41, 34, ? (a) 20 (b) 26 (c) 27 (d) 28
  11. 11.What comes next? 45, 42, 39, 36, 33, ? (a) 31 (b) 29 (c) 27 (d) 30
  12. 12.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 30 (c) 29 (d) 27
  13. 13.What comes next? 27, 29, 31, 33, 35, ? (a) 38 (b) 36 (c) 37 (d) 39
  14. 14.What comes next? 11, 14, 17, 20, 23, ? (a) 27 (b) 25 (c) 26 (d) 29
  15. 15.What comes next? 52, 43, 34, 25, 16, ? (a) 9 (b) 8 (c) 6 (d) 7
  16. 16.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 21 (b) 28 (c) 29 (d) 22
  17. 17.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 44 (c) 46 (d) 45
  18. 18.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 43 (c) 42 (d) 44
  19. 19.What comes next? 73, 64, 55, 46, 37, ? (a) 19 (b) 28 (c) 27 (d) 29
  20. 20.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 9 (c) 1 (d) 10
  21. 21.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  22. 22.What comes next? 36, 32, 28, 24, 20, ? (a) 12 (b) 15 (c) 17 (d) 16
  23. 23.What comes next? 22, 26, 30, 34, 38, ? (a) 41 (b) 43 (c) 46 (d) 42
  24. 24.What comes next? 20, 27, 34, 41, 48, ? (a) 56 (b) 62 (c) 54 (d) 55
  25. 25.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 31 (c) 32 (d) 34
  26. 26.What comes next? 36, 34, 32, 30, 28, ? (a) 27 (b) 25 (c) 24 (d) 26
  27. 27.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 41 (c) 44 (d) 42
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  29. 29.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 42 (c) 43 (d) 44
  30. 30.What comes next? 1, 8, 4, 11, 7, 14, ? (a) 9 (b) 18 (c) 10 (d) 21
  31. 31.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  32. 32.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 30 (c) 29 (d) 32
  33. 33.What comes next? 16, 28, 40, 52, 64, ? (a) 88 (b) 77 (c) 75 (d) 76
  34. 34.What comes next? 51, 45, 39, 33, 27, ? (a) 15 (b) 21 (c) 22 (d) 20
  35. 35.What comes next? 6, 13, 10, 17, 14, 21, ? (a) 17 (b) 28 (c) 24 (d) 18
  36. 36.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 4 (c) 5 (d) 3
  37. 37.What comes next? 62, 53, 44, 35, 26, ? (a) 18 (b) 8 (c) 17 (d) 16
  38. 38.What comes next? 25, 33, 41, 49, 57, ? (a) 64 (b) 65 (c) 73 (d) 66
  39. 39.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 37 (c) 38 (d) 39
  40. 40.What comes next? 14, 21, 28, 35, 42, ? (a) 50 (b) 56 (c) 49 (d) 48

Answer key

  1. 27
  2. 15
  3. 19
  4. 25
  5. 46
  6. 22
  7. 3
  8. 17
  9. 14
  10. 27
  11. 30
  12. 28
  13. 37
  14. 26
  15. 7
  16. 22
  17. 44
  18. 43
  19. 28
  20. 9
  21. 64
  22. 16
  23. 42
  24. 55
  25. 32
  26. 26
  27. 42
  28. 162
  29. 43
  30. 10
  31. 192
  32. 30
  33. 76
  34. 21
  35. 18
  36. 3
  37. 17
  38. 65
  39. 38
  40. 49

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