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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 981 · 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? 11, 17, 16, 22, 21, 27, ? (a) 28 (b) 33 (c) 25 (d) 26
  2. 2.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 25 (b) 23 (c) 20 (d) 21
  3. 3.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 34 (d) 36
  4. 4.What comes next? 13, 20, 27, 34, 41, ? (a) 47 (b) 55 (c) 48 (d) 49
  5. 5.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 23 (c) 20 (d) 22
  6. 6.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 39 (c) 38 (d) 36
  7. 7.What comes next? 5, 12, 6, 13, 7, 14, ? (a) 20 (b) 21 (c) 7 (d) 8
  8. 8.What comes next? 3, 12, 21, 30, 39, ? (a) 47 (b) 57 (c) 49 (d) 48
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  10. 10.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 48 (c) 47 (d) 46
  11. 11.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 13 (b) 8 (c) 9 (d) 11
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  13. 13.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 18 (c) 20 (d) 21
  14. 14.What comes next? 20, 26, 32, 38, 44, ? (a) 56 (b) 49 (c) 50 (d) 51
  15. 15.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 36 (c) 35 (d) 37
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  17. 17.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 47 (c) 46 (d) 45
  18. 18.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 33 (c) 37 (d) 31
  19. 19.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 37 (c) 38 (d) 35
  20. 20.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 34 (c) 32 (d) 33
  21. 21.What comes next? 29, 39, 49, 59, 69, ? (a) 78 (b) 80 (c) 79 (d) 89
  22. 22.What comes next? 26, 31, 36, 41, 46, ? (a) 50 (b) 51 (c) 52 (d) 56
  23. 23.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 16 (b) 22 (c) 21 (d) 17
  24. 24.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 1 (c) 4 (d) 2
  25. 25.What comes next? 55, 47, 39, 31, 23, ? (a) 7 (b) 15 (c) 16 (d) 14
  26. 26.What comes next? 50, 43, 36, 29, 22, ? (a) 14 (b) 15 (c) 8 (d) 16
  27. 27.What comes next? 18, 25, 32, 39, 46, ? (a) 52 (b) 54 (c) 53 (d) 60
  28. 28.What comes next? 21, 30, 39, 48, 57, ? (a) 65 (b) 75 (c) 67 (d) 66
  29. 29.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  30. 30.What comes next? 6, 16, 26, 36, 46, ? (a) 56 (b) 57 (c) 55 (d) 66
  31. 31.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 50 (c) 47 (d) 49
  32. 32.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 15 (c) 17 (d) 18
  33. 33.What comes next? 2, 9, 6, 13, 10, 17, ? (a) 13 (b) 24 (c) 20 (d) 14
  34. 34.What comes next? 19, 22, 25, 28, 31, ? (a) 35 (b) 37 (c) 33 (d) 34
  35. 35.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 19 (b) 17 (c) 16 (d) 24
  36. 36.What comes next? 25, 29, 33, 37, 41, ? (a) 46 (b) 49 (c) 44 (d) 45
  37. 37.What comes next? 26, 24, 22, 20, 18, ? (a) 16 (b) 14 (c) 17 (d) 15
  38. 38.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  39. 39.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 23 (b) 21 (c) 19 (d) 18
  40. 40.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 34 (c) 33 (d) 35

Answer key

  1. 26
  2. 21
  3. 34
  4. 48
  5. 21
  6. 37
  7. 8
  8. 48
  9. 81
  10. 47
  11. 9
  12. 64
  13. 19
  14. 50
  15. 36
  16. 192
  17. 46
  18. 32
  19. 36
  20. 32
  21. 79
  22. 51
  23. 17
  24. 2
  25. 15
  26. 15
  27. 53
  28. 66
  29. 160
  30. 56
  31. 48
  32. 16
  33. 14
  34. 34
  35. 17
  36. 45
  37. 16
  38. 128
  39. 19
  40. 34

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