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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 696 · 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? 16, 20, 25, 31, 38, ? (a) 45 (b) 47 (c) 48 (d) 46
  2. 2.What comes next? 21, 23, 25, 27, 29, ? (a) 30 (b) 31 (c) 32 (d) 33
  3. 3.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 35 (c) 36 (d) 34
  4. 4.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 2 (c) 3 (d) 4
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  7. 7.What comes next? 65, 58, 51, 44, 37, ? (a) 31 (b) 30 (c) 23 (d) 29
  8. 8.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 22 (b) 20 (c) 15 (d) 16
  9. 9.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 30 (d) 31
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  11. 11.What comes next? 30, 28, 26, 24, 22, ? (a) 19 (b) 21 (c) 18 (d) 20
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  13. 13.What comes next? 21, 29, 37, 45, 53, ? (a) 62 (b) 61 (c) 60 (d) 69
  14. 14.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 31 (b) 24 (c) 27 (d) 25
  15. 15.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 4 (c) 5 (d) 6
  16. 16.What comes next? 24, 27, 30, 33, 36, ? (a) 42 (b) 40 (c) 39 (d) 38
  17. 17.What comes next? 15, 23, 22, 30, 29, 37, ? (a) 35 (b) 36 (c) 45 (d) 38
  18. 18.What comes next? 25, 29, 33, 37, 41, ? (a) 49 (b) 44 (c) 45 (d) 46
  19. 19.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 48 (d) 50
  20. 20.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 23 (c) 22 (d) 21
  21. 21.What comes next? 54, 46, 38, 30, 22, ? (a) 6 (b) 15 (c) 14 (d) 13
  22. 22.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 7 (c) 8 (d) 9
  23. 23.What comes next? 17, 24, 31, 38, 45, ? (a) 52 (b) 53 (c) 59 (d) 51
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  25. 25.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 19 (c) 12 (d) 20
  26. 26.What comes next? 38, 36, 34, 32, 30, ? (a) 29 (b) 26 (c) 28 (d) 27
  27. 27.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 63 (c) 65 (d) 75
  28. 28.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 17 (b) 16 (c) 30 (d) 29
  29. 29.What comes next? 11, 20, 18, 27, 25, 34, ? (a) 36 (b) 32 (c) 43 (d) 31
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  31. 31.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 36 (d) 34
  32. 32.What comes next? 6, 8, 10, 12, 14, ? (a) 15 (b) 18 (c) 16 (d) 17
  33. 33.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 5 (c) 6 (d) 4
  34. 34.What comes next? 36, 29, 22, 15, 8, ? (a) 3 (b) 1 (c) 4 (d) 2
  35. 35.What comes next? 35, 29, 23, 17, 11, ? (a) 7 (b) 4 (c) 5 (d) 6
  36. 36.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 42 (c) 43 (d) 44
  37. 37.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 32 (c) 35 (d) 34
  38. 38.What comes next? 18, 25, 24, 31, 30, 37, ? (a) 35 (b) 36 (c) 44 (d) 38
  39. 39.What comes next? 39, 37, 35, 33, 31, ? (a) 27 (b) 30 (c) 28 (d) 29
  40. 40.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48

Answer key

  1. 46
  2. 31
  3. 34
  4. 2
  5. 160
  6. 162
  7. 30
  8. 16
  9. 31
  10. 243
  11. 20
  12. 32
  13. 61
  14. 25
  15. 4
  16. 39
  17. 36
  18. 45
  19. 48
  20. 22
  21. 14
  22. 8
  23. 52
  24. 81
  25. 19
  26. 28
  27. 64
  28. 17
  29. 32
  30. 128
  31. 35
  32. 16
  33. 4
  34. 1
  35. 5
  36. 43
  37. 33
  38. 36
  39. 29
  40. 64

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