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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 183 · 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? 19, 30, 41, 52, 63, ? (a) 75 (b) 73 (c) 74 (d) 85
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  4. 4.What comes next? 12, 16, 20, 24, 28, ? (a) 33 (b) 32 (c) 36 (d) 31
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  6. 6.What comes next? 64, 55, 46, 37, 28, ? (a) 18 (b) 20 (c) 19 (d) 10
  7. 7.What comes next? 20, 23, 26, 29, 32, ? (a) 34 (b) 36 (c) 35 (d) 38
  8. 8.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 4 (c) 5 (d) 3
  9. 9.What comes next? 2, 10, 18, 26, 34, ? (a) 42 (b) 41 (c) 50 (d) 43
  10. 10.What comes next? 8, 16, 24, 32, 40, ? (a) 49 (b) 56 (c) 48 (d) 47
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  12. 12.What comes next? 20, 27, 34, 41, 48, ? (a) 54 (b) 55 (c) 62 (d) 56
  13. 13.What comes next? 30, 41, 52, 63, 74, ? (a) 85 (b) 86 (c) 84 (d) 96
  14. 14.What comes next? 50, 46, 42, 38, 34, ? (a) 29 (b) 30 (c) 26 (d) 31
  15. 15.What comes next? 13, 16, 19, 22, 25, ? (a) 27 (b) 28 (c) 29 (d) 31
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  17. 17.What comes next? 54, 49, 44, 39, 34, ? (a) 28 (b) 30 (c) 29 (d) 24
  18. 18.What comes next? 16, 20, 24, 28, 32, ? (a) 35 (b) 40 (c) 37 (d) 36
  19. 19.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 23 (c) 24 (d) 25
  20. 20.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 21 (c) 24 (d) 23
  21. 21.What comes next? 15, 22, 29, 36, 43, ? (a) 57 (b) 49 (c) 51 (d) 50
  22. 22.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 13 (c) 3 (d) 12
  23. 23.What comes next? 75, 66, 57, 48, 39, ? (a) 30 (b) 29 (c) 31 (d) 21
  24. 24.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 2 (c) 5 (d) 3
  25. 25.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 24 (b) 29 (c) 26 (d) 23
  26. 26.What comes next? 14, 20, 17, 23, 20, 26, ? (a) 23 (b) 29 (c) 22 (d) 32
  27. 27.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 17 (c) 15 (d) 18
  28. 28.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 51 (c) 50 (d) 58
  29. 29.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 35 (c) 37 (d) 36
  30. 30.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 32 (c) 31 (d) 30
  31. 31.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 31 (c) 29 (d) 28
  32. 32.What comes next? 18, 22, 26, 30, 34, ? (a) 39 (b) 38 (c) 42 (d) 37
  33. 33.What comes next? 41, 34, 27, 20, 13, ? (a) 7 (b) 5 (c) 8 (d) 6
  34. 34.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 36 (c) 37 (d) 38
  35. 35.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 19 (c) 20 (d) 21
  36. 36.What comes next? 15, 21, 16, 22, 17, 23, ? (a) 18 (b) 29 (c) 28 (d) 17
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  38. 38.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 35 (c) 32 (d) 33
  39. 39.What comes next? 19, 23, 27, 31, 35, ? (a) 40 (b) 43 (c) 38 (d) 39
  40. 40.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 19 (c) 18 (d) 17

Answer key

  1. 74
  2. 192
  3. 128
  4. 32
  5. 81
  6. 19
  7. 35
  8. 4
  9. 42
  10. 48
  11. 32
  12. 55
  13. 85
  14. 30
  15. 28
  16. 162
  17. 29
  18. 36
  19. 24
  20. 24
  21. 50
  22. 12
  23. 30
  24. 3
  25. 24
  26. 23
  27. 16
  28. 50
  29. 35
  30. 30
  31. 29
  32. 38
  33. 6
  34. 36
  35. 20
  36. 18
  37. 64
  38. 33
  39. 39
  40. 18

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