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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 164 · 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? 13, 17, 16, 20, 19, 23, ? (a) 21 (b) 24 (c) 27 (d) 22
  2. 2.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 31 (b) 22 (c) 27 (d) 23
  3. 3.What comes next? 8, 13, 11, 16, 14, 19, ? (a) 24 (b) 16 (c) 21 (d) 17
  4. 4.What comes next? 37, 35, 33, 31, 29, ? (a) 28 (b) 25 (c) 27 (d) 26
  5. 5.What comes next? 23, 20, 17, 14, 11, ? (a) 8 (b) 9 (c) 5 (d) 7
  6. 6.What comes next? 28, 30, 32, 34, 36, ? (a) 39 (b) 37 (c) 40 (d) 38
  7. 7.What comes next? 30, 27, 24, 21, 18, ? (a) 15 (b) 16 (c) 12 (d) 14
  8. 8.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 23 (b) 30 (c) 24 (d) 28
  9. 9.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 50 (d) 49
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  12. 12.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 33 (c) 32 (d) 31
  13. 13.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 27 (d) 28
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  15. 15.What comes next? 43, 40, 37, 34, 31, ? (a) 25 (b) 27 (c) 28 (d) 29
  16. 16.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 58 (c) 57 (d) 59
  17. 17.What comes next? 63, 55, 47, 39, 31, ? (a) 22 (b) 24 (c) 23 (d) 15
  18. 18.What comes next? 22, 27, 32, 37, 42, ? (a) 46 (b) 47 (c) 48 (d) 52
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  20. 20.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 28 (c) 26 (d) 25
  21. 21.What comes next? 18, 21, 24, 27, 30, ? (a) 34 (b) 36 (c) 32 (d) 33
  22. 22.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 6 (c) 8 (d) 5
  23. 23.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 49 (c) 48 (d) 47
  24. 24.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 18 (c) 19 (d) 20
  25. 25.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 17 (c) 19 (d) 16
  26. 26.What comes next? 47, 41, 35, 29, 23, ? (a) 16 (b) 17 (c) 18 (d) 11
  27. 27.What comes next? 46, 38, 30, 22, 14, ? (a) 8 (b) 5 (c) 6 (d) 7
  28. 28.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 30 (c) 29 (d) 32
  29. 29.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 31 (c) 29 (d) 30
  30. 30.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  31. 31.What comes next? 22, 26, 30, 34, 38, ? (a) 42 (b) 46 (c) 41 (d) 43
  32. 32.What comes next? 3, 6, 9, 12, 15, ? (a) 18 (b) 19 (c) 17 (d) 21
  33. 33.What comes next? 8, 18, 28, 38, 48, ? (a) 57 (b) 58 (c) 68 (d) 59
  34. 34.What comes next? 42, 39, 36, 33, 30, ? (a) 27 (b) 28 (c) 26 (d) 24
  35. 35.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 27 (c) 28 (d) 29
  36. 36.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 16 (b) 9 (c) 15 (d) 8
  37. 37.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 75 (c) 65 (d) 64
  38. 38.What comes next? 26, 29, 32, 35, 38, ? (a) 42 (b) 44 (c) 41 (d) 40
  39. 39.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 29 (d) 28
  40. 40.What comes next? 4, 12, 20, 28, 36, ? (a) 52 (b) 43 (c) 45 (d) 44

Answer key

  1. 22
  2. 23
  3. 17
  4. 27
  5. 8
  6. 38
  7. 15
  8. 24
  9. 49
  10. 81
  11. 32
  12. 31
  13. 28
  14. 192
  15. 28
  16. 58
  17. 23
  18. 47
  19. 243
  20. 26
  21. 33
  22. 6
  23. 48
  24. 19
  25. 17
  26. 17
  27. 6
  28. 30
  29. 29
  30. 160
  31. 42
  32. 18
  33. 58
  34. 27
  35. 28
  36. 9
  37. 64
  38. 41
  39. 27
  40. 44

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