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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 542 · 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? 7, 18, 29, 40, 51, ? (a) 61 (b) 73 (c) 62 (d) 63
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  3. 3.What comes next? 10, 12, 14, 16, 18, ? (a) 21 (b) 19 (c) 22 (d) 20
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  5. 5.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 10 (c) 11 (d) 15
  6. 6.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 15 (b) 14 (c) 21 (d) 19
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  8. 8.What comes next? 70, 61, 52, 43, 34, ? (a) 25 (b) 16 (c) 24 (d) 26
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 200 (d) 161
  10. 10.What comes next? 4, 10, 5, 11, 6, 12, ? (a) 18 (b) 17 (c) 6 (d) 7
  11. 11.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 16 (b) 23 (c) 15 (d) 18
  12. 12.What comes next? 2, 10, 18, 26, 34, ? (a) 50 (b) 43 (c) 41 (d) 42
  13. 13.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 23 (b) 22 (c) 31 (d) 25
  14. 14.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 35 (b) 24 (c) 30 (d) 23
  15. 15.What comes next? 13, 17, 16, 20, 19, 23, ? (a) 24 (b) 21 (c) 27 (d) 22
  16. 16.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 48 (c) 51 (d) 50
  17. 17.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 5 (c) 4 (d) 2
  18. 18.What comes next? 17, 23, 29, 35, 41, ? (a) 47 (b) 48 (c) 53 (d) 46
  19. 19.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 30 (d) 31
  20. 20.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 13 (b) 12 (c) 6 (d) 5
  21. 21.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 14 (b) 13 (c) 7 (d) 6
  22. 22.What comes next? 57, 51, 45, 39, 33, ? (a) 21 (b) 28 (c) 27 (d) 26
  23. 23.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 21 (b) 22 (c) 16 (d) 17
  24. 24.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 21 (b) 17 (c) 16 (d) 19
  25. 25.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 41 (c) 39 (d) 38
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  27. 27.What comes next? 36, 31, 26, 21, 16, ? (a) 10 (b) 6 (c) 11 (d) 12
  28. 28.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 31 (c) 30 (d) 32
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  30. 30.What comes next? 24, 32, 40, 48, 56, ? (a) 63 (b) 64 (c) 72 (d) 65
  31. 31.What comes next? 56, 50, 44, 38, 32, ? (a) 20 (b) 26 (c) 27 (d) 25
  32. 32.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 36 (d) 34
  33. 33.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  34. 34.What comes next? 4, 10, 16, 22, 28, ? (a) 34 (b) 35 (c) 33 (d) 40
  35. 35.What comes next? 67, 58, 49, 40, 31, ? (a) 21 (b) 13 (c) 23 (d) 22
  36. 36.What comes next? 58, 50, 42, 34, 26, ? (a) 10 (b) 17 (c) 19 (d) 18
  37. 37.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 32 (c) 35 (d) 34
  38. 38.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 5 (c) 3 (d) 2
  39. 39.What comes next? 15, 17, 19, 21, 23, ? (a) 26 (b) 24 (c) 25 (d) 27
  40. 40.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 43 (c) 42 (d) 41

Answer key

  1. 62
  2. 192
  3. 20
  4. 96
  5. 11
  6. 15
  7. 32
  8. 25
  9. 160
  10. 7
  11. 16
  12. 42
  13. 23
  14. 24
  15. 22
  16. 49
  17. 3
  18. 47
  19. 30
  20. 6
  21. 7
  22. 27
  23. 17
  24. 17
  25. 39
  26. 81
  27. 11
  28. 30
  29. 162
  30. 64
  31. 26
  32. 34
  33. 64
  34. 34
  35. 22
  36. 18
  37. 33
  38. 3
  39. 25
  40. 42

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