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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 294 · 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? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  3. 3.What comes next? 16, 26, 36, 46, 56, ? (a) 76 (b) 67 (c) 65 (d) 66
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  5. 5.What comes next? 18, 28, 38, 48, 58, ? (a) 68 (b) 78 (c) 67 (d) 69
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  8. 8.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 10 (c) 8 (d) 11
  9. 9.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 13 (b) 21 (c) 14 (d) 20
  10. 10.What comes next? 20, 29, 38, 47, 56, ? (a) 74 (b) 64 (c) 66 (d) 65
  11. 11.What comes next? 28, 37, 46, 55, 64, ? (a) 74 (b) 72 (c) 73 (d) 82
  12. 12.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 12 (b) 13 (c) 8 (d) 7
  13. 13.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 21 (c) 22 (d) 19
  14. 14.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 24 (c) 25 (d) 23
  15. 15.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 47 (c) 49 (d) 48
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  17. 17.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  18. 18.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 6 (c) 7 (d) 5
  19. 19.What comes next? 37, 30, 23, 16, 9, ? (a) 3 (b) 2 (c) 4 (d) 1
  20. 20.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 39 (d) 37
  21. 21.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 44 (c) 42 (d) 43
  22. 22.What comes next? 3, 10, 17, 24, 31, ? (a) 39 (b) 45 (c) 38 (d) 37
  23. 23.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 8 (c) 6 (d) 7
  24. 24.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 30 (c) 28 (d) 31
  25. 25.What comes next? 10, 17, 24, 31, 38, ? (a) 52 (b) 45 (c) 44 (d) 46
  26. 26.What comes next? 40, 38, 36, 34, 32, ? (a) 30 (b) 28 (c) 31 (d) 29
  27. 27.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 25 (c) 23 (d) 24
  28. 28.What comes next? 60, 51, 42, 33, 24, ? (a) 14 (b) 6 (c) 15 (d) 16
  29. 29.What comes next? 4, 6, 8, 10, 12, ? (a) 13 (b) 16 (c) 14 (d) 15
  30. 30.What comes next? 50, 43, 36, 29, 22, ? (a) 15 (b) 8 (c) 14 (d) 16
  31. 31.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 28 (c) 30 (d) 31
  32. 32.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 35 (d) 36
  33. 33.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 36 (c) 35 (d) 33
  34. 34.What comes next? 3, 10, 7, 14, 11, 18, ? (a) 15 (b) 14 (c) 25 (d) 21
  35. 35.What comes next? 13, 19, 17, 23, 21, 27, ? (a) 29 (b) 24 (c) 33 (d) 25
  36. 36.What comes next? 46, 41, 36, 31, 26, ? (a) 22 (b) 16 (c) 20 (d) 21
  37. 37.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 40 (d) 41
  38. 38.What comes next? 55, 48, 41, 34, 27, ? (a) 21 (b) 20 (c) 19 (d) 13
  39. 39.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 31 (b) 26 (c) 22 (d) 21
  40. 40.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 33 (c) 32 (d) 35

Answer key

  1. 160
  2. 32
  3. 66
  4. 128
  5. 68
  6. 64
  7. 81
  8. 10
  9. 14
  10. 65
  11. 73
  12. 8
  13. 20
  14. 23
  15. 48
  16. 162
  17. 26
  18. 7
  19. 2
  20. 37
  21. 43
  22. 38
  23. 6
  24. 29
  25. 45
  26. 30
  27. 24
  28. 15
  29. 14
  30. 15
  31. 29
  32. 35
  33. 34
  34. 15
  35. 25
  36. 21
  37. 41
  38. 20
  39. 22
  40. 33

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