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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 334 · 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? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 5 (d) 4
  2. 2.What comes next? 16, 24, 32, 40, 48, ? (a) 64 (b) 57 (c) 56 (d) 55
  3. 3.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 15 (c) 18 (d) 16
  4. 4.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 10 (c) 13 (d) 12
  5. 5.What comes next? 22, 18, 14, 10, 6, ? (a) 3 (b) 2 (c) 4 (d) 1
  6. 6.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  7. 7.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 24 (b) 25 (c) 20 (d) 19
  8. 8.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 5 (c) 4 (d) 2
  9. 9.What comes next? 22, 26, 30, 34, 38, ? (a) 43 (b) 41 (c) 46 (d) 42
  10. 10.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 25 (c) 26 (d) 24
  11. 11.What comes next? 5, 13, 21, 29, 37, ? (a) 53 (b) 46 (c) 44 (d) 45
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 240 (d) 193
  13. 13.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 44 (c) 42 (d) 43
  14. 14.What comes next? 24, 29, 34, 39, 44, ? (a) 49 (b) 54 (c) 50 (d) 48
  15. 15.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 22 (c) 21 (d) 20
  16. 16.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 16 (b) 15 (c) 24 (d) 25
  17. 17.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 41 (c) 39 (d) 40
  18. 18.What comes next? 1, 8, 4, 11, 7, 14, ? (a) 18 (b) 10 (c) 9 (d) 21
  19. 19.What comes next? 40, 36, 32, 28, 24, ? (a) 20 (b) 21 (c) 19 (d) 16
  20. 20.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 35 (c) 34 (d) 33
  21. 21.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 20 (b) 22 (c) 16 (d) 15
  22. 22.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 10 (c) 8 (d) 9
  23. 23.What comes next? 14, 21, 28, 35, 42, ? (a) 49 (b) 48 (c) 56 (d) 50
  24. 24.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  25. 25.What comes next? 67, 59, 51, 43, 35, ? (a) 19 (b) 28 (c) 26 (d) 27
  26. 26.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 9 (d) 11
  27. 27.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 30 (c) 32 (d) 29
  28. 28.What comes next? 43, 37, 31, 25, 19, ? (a) 7 (b) 14 (c) 13 (d) 12
  29. 29.What comes next? 2, 4, 6, 8, 10, ? (a) 11 (b) 13 (c) 12 (d) 14
  30. 30.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 28 (d) 27
  31. 31.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 26 (c) 25 (d) 27
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  33. 33.What comes next? 11, 20, 17, 26, 23, 32, ? (a) 29 (b) 41 (c) 35 (d) 28
  34. 34.What comes next? 21, 29, 37, 45, 53, ? (a) 61 (b) 60 (c) 62 (d) 69
  35. 35.What comes next? 53, 44, 35, 26, 17, ? (a) 10 (b) 8 (c) 7 (d) 9
  36. 36.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 32 (c) 34 (d) 33
  37. 37.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 31 (c) 34 (d) 32
  38. 38.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 37 (c) 36 (d) 34
  39. 39.What comes next? 5, 8, 11, 14, 17, ? (a) 23 (b) 19 (c) 21 (d) 20
  40. 40.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32

Answer key

  1. 4
  2. 56
  3. 16
  4. 12
  5. 2
  6. 128
  7. 20
  8. 3
  9. 42
  10. 25
  11. 45
  12. 192
  13. 43
  14. 49
  15. 21
  16. 16
  17. 39
  18. 10
  19. 20
  20. 34
  21. 16
  22. 9
  23. 49
  24. 160
  25. 27
  26. 9
  27. 30
  28. 13
  29. 12
  30. 28
  31. 26
  32. 64
  33. 29
  34. 61
  35. 8
  36. 33
  37. 32
  38. 35
  39. 20
  40. 32

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