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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 639 · 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, 17, 15, 13, 11, ? (a) 10 (b) 7 (c) 9 (d) 8
  2. 2.What comes next? 42, 35, 28, 21, 14, ? (a) 9 (b) 6 (c) 8 (d) 7
  3. 3.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 24 (c) 27 (d) 26
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  5. 5.What comes next? 2, 5, 8, 11, 14, ? (a) 18 (b) 17 (c) 20 (d) 16
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  7. 7.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  8. 8.What comes next? 68, 60, 52, 44, 36, ? (a) 28 (b) 27 (c) 20 (d) 29
  9. 9.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 37 (c) 36 (d) 38
  10. 10.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 36 (d) 35
  11. 11.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 6 (b) 5 (c) 12 (d) 13
  12. 12.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 21 (b) 22 (c) 26 (d) 28
  13. 13.What comes next? 49, 42, 35, 28, 21, ? (a) 15 (b) 14 (c) 13 (d) 7
  14. 14.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 25 (d) 27
  15. 15.What comes next? 11, 19, 17, 25, 23, 31, ? (a) 33 (b) 29 (c) 39 (d) 28
  16. 16.What comes next? 13, 21, 15, 23, 17, 25, ? (a) 18 (b) 19 (c) 33 (d) 31
  17. 17.What comes next? 24, 21, 18, 15, 12, ? (a) 9 (b) 10 (c) 6 (d) 8
  18. 18.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 34 (c) 32 (d) 31
  19. 19.What comes next? 27, 29, 31, 33, 35, ? (a) 37 (b) 39 (c) 36 (d) 38
  20. 20.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  21. 21.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 8 (b) 14 (c) 7 (d) 15
  22. 22.What comes next? 2, 8, 14, 20, 26, ? (a) 31 (b) 32 (c) 33 (d) 38
  23. 23.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 34 (c) 37 (d) 35
  24. 24.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 2 (c) 1 (d) 4
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  26. 26.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 41 (c) 50 (d) 42
  27. 27.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 32 (c) 33 (d) 34
  28. 28.What comes next? 10, 18, 26, 34, 42, ? (a) 58 (b) 50 (c) 51 (d) 49
  29. 29.What comes next? 19, 16, 13, 10, 7, ? (a) 1 (b) 5 (c) 3 (d) 4
  30. 30.What comes next? 51, 45, 39, 33, 27, ? (a) 22 (b) 15 (c) 21 (d) 20
  31. 31.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 28 (c) 25 (d) 26
  32. 32.What comes next? 9, 13, 17, 21, 25, ? (a) 30 (b) 33 (c) 28 (d) 29
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  34. 34.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 19 (d) 20
  35. 35.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 40 (d) 42
  36. 36.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 42 (c) 43 (d) 51
  37. 37.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 24 (b) 25 (c) 19 (d) 20
  38. 38.What comes next? 7, 13, 19, 25, 31, ? (a) 43 (b) 36 (c) 37 (d) 38
  39. 39.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 5 (c) 6 (d) 7
  40. 40.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 6 (c) 7 (d) 9

Answer key

  1. 9
  2. 7
  3. 25
  4. 32
  5. 17
  6. 162
  7. 128
  8. 28
  9. 37
  10. 36
  11. 6
  12. 22
  13. 14
  14. 25
  15. 29
  16. 19
  17. 9
  18. 32
  19. 37
  20. 64
  21. 8
  22. 32
  23. 35
  24. 1
  25. 243
  26. 42
  27. 33
  28. 50
  29. 4
  30. 21
  31. 26
  32. 29
  33. 81
  34. 18
  35. 40
  36. 43
  37. 20
  38. 37
  39. 5
  40. 7

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