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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 947 · 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? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  2. 2.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 20 (b) 19 (c) 25 (d) 22
  3. 3.What comes next? 8, 17, 9, 18, 10, 19, ? (a) 10 (b) 27 (c) 28 (d) 11
  4. 4.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 10 (c) 11 (d) 12
  5. 5.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 30 (b) 26 (c) 25 (d) 32
  6. 6.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 42 (c) 44 (d) 43
  7. 7.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 9 (b) 6 (c) 11 (d) 7
  8. 8.What comes next? 7, 12, 17, 22, 27, ? (a) 37 (b) 32 (c) 31 (d) 33
  9. 9.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 56 (c) 63 (d) 55
  10. 10.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 42 (c) 45 (d) 44
  11. 11.What comes next? 27, 22, 17, 12, 7, ? (a) 4 (b) 1 (c) 3 (d) 2
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  13. 13.What comes next? 15, 24, 21, 30, 27, 36, ? (a) 32 (b) 33 (c) 39 (d) 45
  14. 14.What comes next? 9, 12, 15, 18, 21, ? (a) 27 (b) 25 (c) 23 (d) 24
  15. 15.What comes next? 11, 20, 29, 38, 47, ? (a) 57 (b) 55 (c) 56 (d) 65
  16. 16.What comes next? 20, 32, 44, 56, 68, ? (a) 81 (b) 79 (c) 80 (d) 92
  17. 17.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 33 (b) 23 (c) 35 (d) 22
  18. 18.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 20 (b) 21 (c) 27 (d) 25
  19. 19.What comes next? 57, 49, 41, 33, 25, ? (a) 17 (b) 9 (c) 18 (d) 16
  20. 20.What comes next? 19, 22, 26, 31, 37, ? (a) 44 (b) 46 (c) 45 (d) 43
  21. 21.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  22. 22.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 33 (d) 31
  23. 23.What comes next? 30, 28, 26, 24, 22, ? (a) 21 (b) 19 (c) 18 (d) 20
  24. 24.What comes next? 8, 15, 13, 20, 18, 25, ? (a) 27 (b) 22 (c) 23 (d) 32
  25. 25.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 49 (c) 45 (d) 46
  26. 26.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 13 (b) 14 (c) 18 (d) 19
  27. 27.What comes next? 26, 29, 32, 35, 38, ? (a) 40 (b) 44 (c) 41 (d) 42
  28. 28.What comes next? 24, 32, 40, 48, 56, ? (a) 72 (b) 64 (c) 63 (d) 65
  29. 29.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 20 (c) 25 (d) 24
  30. 30.What comes next? 18, 26, 21, 29, 24, 32, ? (a) 40 (b) 26 (c) 27 (d) 37
  31. 31.What comes next? 17, 28, 39, 50, 61, ? (a) 72 (b) 73 (c) 71 (d) 83
  32. 32.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 38 (c) 41 (d) 40
  33. 33.What comes next? 31, 25, 19, 13, 7, ? (a) 4 (b) 1 (c) 3 (d) 2
  34. 34.What comes next? 41, 35, 29, 23, 17, ? (a) 10 (b) 5 (c) 12 (d) 11
  35. 35.What comes next? 23, 30, 37, 44, 51, ? (a) 59 (b) 57 (c) 65 (d) 58
  36. 36.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 7 (c) 8 (d) 5
  37. 37.What comes next? 47, 38, 29, 20, 11, ? (a) 1 (b) 4 (c) 3 (d) 2
  38. 38.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 21 (c) 19 (d) 20
  39. 39.What comes next? 27, 30, 33, 36, 39, ? (a) 45 (b) 42 (c) 43 (d) 41
  40. 40.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 23 (d) 21

Answer key

  1. 162
  2. 20
  3. 11
  4. 11
  5. 26
  6. 42
  7. 7
  8. 32
  9. 56
  10. 43
  11. 2
  12. 81
  13. 33
  14. 24
  15. 56
  16. 80
  17. 23
  18. 21
  19. 17
  20. 44
  21. 128
  22. 31
  23. 20
  24. 23
  25. 45
  26. 14
  27. 41
  28. 64
  29. 24
  30. 27
  31. 72
  32. 39
  33. 1
  34. 11
  35. 58
  36. 7
  37. 2
  38. 20
  39. 42
  40. 22

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