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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 972 · 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? 6, 12, 8, 14, 10, 16, ? (a) 22 (b) 11 (c) 12 (d) 20
  2. 2.What comes next? 50, 44, 38, 32, 26, ? (a) 14 (b) 21 (c) 19 (d) 20
  3. 3.What comes next? 14, 19, 24, 29, 34, ? (a) 44 (b) 38 (c) 40 (d) 39
  4. 4.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 31 (c) 33 (d) 32
  5. 5.What comes next? 18, 21, 24, 27, 30, ? (a) 36 (b) 32 (c) 33 (d) 34
  6. 6.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 22 (c) 21 (d) 23
  7. 7.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 38 (c) 39 (d) 41
  8. 8.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 34 (c) 37 (d) 35
  9. 9.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 6 (c) 7 (d) 1
  10. 10.What comes next? 9, 13, 17, 21, 25, ? (a) 29 (b) 30 (c) 33 (d) 28
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  12. 12.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  13. 13.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 24 (b) 29 (c) 26 (d) 23
  14. 14.What comes next? 12, 19, 18, 25, 24, 31, ? (a) 38 (b) 30 (c) 29 (d) 32
  15. 15.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 36 (c) 33 (d) 34
  16. 16.What comes next? 23, 29, 35, 41, 47, ? (a) 54 (b) 59 (c) 52 (d) 53
  17. 17.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 19 (d) 20
  18. 18.What comes next? 5, 16, 27, 38, 49, ? (a) 61 (b) 71 (c) 60 (d) 59
  19. 19.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 28 (c) 26 (d) 29
  20. 20.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 17 (b) 9 (c) 10 (d) 16
  21. 21.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 19 (c) 18 (d) 20
  22. 22.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 4 (c) 5 (d) 2
  23. 23.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 44 (c) 42 (d) 43
  24. 24.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  25. 25.What comes next? 39, 36, 33, 30, 27, ? (a) 21 (b) 25 (c) 24 (d) 23
  26. 26.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 27 (b) 22 (c) 23 (d) 34
  27. 27.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 36 (d) 35
  28. 28.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  29. 29.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  30. 30.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 18 (c) 17 (d) 13
  31. 31.What comes next? 5, 14, 8, 17, 11, 20, ? (a) 26 (b) 14 (c) 13 (d) 29
  32. 32.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 29 (c) 28 (d) 22
  33. 33.What comes next? 6, 13, 10, 17, 14, 21, ? (a) 18 (b) 28 (c) 17 (d) 24
  34. 34.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 193 (d) 240
  35. 35.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 20 (c) 19 (d) 12
  36. 36.What comes next? 9, 18, 27, 36, 45, ? (a) 63 (b) 55 (c) 54 (d) 53
  37. 37.What comes next? 68, 60, 52, 44, 36, ? (a) 29 (b) 20 (c) 28 (d) 27
  38. 38.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 49 (c) 51 (d) 50
  39. 39.What comes next? 55, 46, 37, 28, 19, ? (a) 11 (b) 10 (c) 1 (d) 9
  40. 40.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 29 (c) 27 (d) 28

Answer key

  1. 12
  2. 20
  3. 39
  4. 31
  5. 33
  6. 22
  7. 39
  8. 35
  9. 7
  10. 29
  11. 81
  12. 128
  13. 24
  14. 30
  15. 34
  16. 53
  17. 18
  18. 60
  19. 27
  20. 10
  21. 19
  22. 3
  23. 42
  24. 64
  25. 24
  26. 23
  27. 36
  28. 160
  29. 96
  30. 18
  31. 14
  32. 28
  33. 18
  34. 192
  35. 19
  36. 54
  37. 28
  38. 50
  39. 10
  40. 27

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