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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 670 · 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? 4, 10, 9, 15, 14, 20, ? (a) 26 (b) 18 (c) 21 (d) 19
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  4. 4.What comes next? 7, 15, 12, 20, 17, 25, ? (a) 22 (b) 28 (c) 21 (d) 33
  5. 5.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 4 (b) 12 (c) 13 (d) 3
  6. 6.What comes next? 14, 22, 30, 38, 46, ? (a) 54 (b) 62 (c) 53 (d) 55
  7. 7.What comes next? 2, 11, 4, 13, 6, 15, ? (a) 22 (b) 7 (c) 24 (d) 8
  8. 8.What comes next? 20, 30, 40, 50, 60, ? (a) 80 (b) 70 (c) 69 (d) 71
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  10. 10.What comes next? 16, 25, 19, 28, 22, 31, ? (a) 40 (b) 24 (c) 37 (d) 25
  11. 11.What comes next? 51, 42, 33, 24, 15, ? (a) 8 (b) 5 (c) 6 (d) 7
  12. 12.What comes next? 19, 28, 24, 33, 29, 38, ? (a) 47 (b) 33 (c) 34 (d) 42
  13. 13.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 33 (c) 34 (d) 36
  14. 14.What comes next? 14, 18, 17, 21, 20, 24, ? (a) 22 (b) 28 (c) 25 (d) 23
  15. 15.What comes next? 6, 14, 22, 30, 38, ? (a) 46 (b) 47 (c) 54 (d) 45
  16. 16.What comes next? 45, 41, 37, 33, 29, ? (a) 21 (b) 24 (c) 26 (d) 25
  17. 17.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 18 (b) 20 (c) 17 (d) 23
  18. 18.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 33 (b) 30 (c) 27 (d) 28
  19. 19.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 31 (c) 33 (d) 30
  20. 20.What comes next? 27, 23, 19, 15, 11, ? (a) 7 (b) 3 (c) 8 (d) 6
  21. 21.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 24 (c) 26 (d) 25
  22. 22.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 47 (c) 46 (d) 45
  23. 23.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 6 (c) 5 (d) 3
  24. 24.What comes next? 16, 21, 26, 31, 36, ? (a) 46 (b) 41 (c) 40 (d) 42
  25. 25.What comes next? 12, 16, 20, 24, 28, ? (a) 33 (b) 36 (c) 31 (d) 32
  26. 26.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 5 (c) 3 (d) 6
  27. 27.What comes next? 11, 20, 13, 22, 15, 24, ? (a) 31 (b) 17 (c) 33 (d) 16
  28. 28.What comes next? 42, 39, 36, 33, 30, ? (a) 26 (b) 24 (c) 28 (d) 27
  29. 29.What comes next? 35, 31, 27, 23, 19, ? (a) 14 (b) 16 (c) 11 (d) 15
  30. 30.What comes next? 44, 36, 28, 20, 12, ? (a) 5 (b) 6 (c) 4 (d) 3
  31. 31.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 20 (c) 22 (d) 19
  32. 32.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 20 (b) 25 (c) 27 (d) 21
  33. 33.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 24 (b) 27 (c) 31 (d) 25
  34. 34.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 26 (c) 27 (d) 29
  35. 35.What comes next? 6, 13, 20, 27, 34, ? (a) 42 (b) 48 (c) 41 (d) 40
  36. 36.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 30 (d) 31
  37. 37.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 42 (c) 44 (d) 43
  38. 38.What comes next? 12, 18, 13, 19, 14, 20, ? (a) 25 (b) 15 (c) 14 (d) 26
  39. 39.What comes next? 4, 9, 5, 10, 6, 11, ? (a) 16 (b) 15 (c) 7 (d) 6
  40. 40.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 22 (c) 19 (d) 23

Answer key

  1. 19
  2. 96
  3. 160
  4. 22
  5. 4
  6. 54
  7. 8
  8. 70
  9. 128
  10. 25
  11. 6
  12. 34
  13. 34
  14. 23
  15. 46
  16. 25
  17. 18
  18. 28
  19. 31
  20. 7
  21. 25
  22. 45
  23. 4
  24. 41
  25. 32
  26. 4
  27. 17
  28. 27
  29. 15
  30. 4
  31. 20
  32. 21
  33. 25
  34. 27
  35. 41
  36. 30
  37. 43
  38. 15
  39. 7
  40. 22

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