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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 534 · 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? 52, 47, 42, 37, 32, ? (a) 28 (b) 22 (c) 27 (d) 26
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 120 (d) 72
  3. 3.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 19 (b) 20 (c) 7 (d) 6
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  5. 5.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 9 (c) 7 (d) 8
  6. 6.What comes next? 26, 36, 46, 56, 66, ? (a) 76 (b) 77 (c) 86 (d) 75
  7. 7.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 23 (b) 21 (c) 18 (d) 19
  8. 8.What comes next? 39, 36, 33, 30, 27, ? (a) 24 (b) 25 (c) 21 (d) 23
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  10. 10.What comes next? 6, 10, 14, 18, 22, ? (a) 26 (b) 25 (c) 30 (d) 27
  11. 11.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 192 (d) 240
  12. 12.What comes next? 50, 43, 36, 29, 22, ? (a) 14 (b) 16 (c) 15 (d) 8
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  14. 14.What comes next? 30, 27, 24, 21, 18, ? (a) 16 (b) 12 (c) 15 (d) 14
  15. 15.What comes next? 11, 19, 27, 35, 43, ? (a) 50 (b) 59 (c) 51 (d) 52
  16. 16.What comes next? 42, 38, 34, 30, 26, ? (a) 21 (b) 18 (c) 22 (d) 23
  17. 17.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 47 (d) 45
  18. 18.What comes next? 49, 41, 33, 25, 17, ? (a) 10 (b) 1 (c) 8 (d) 9
  19. 19.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 35 (c) 37 (d) 36
  20. 20.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 44 (b) 32 (c) 33 (d) 37
  21. 21.What comes next? 4, 11, 18, 25, 32, ? (a) 46 (b) 40 (c) 38 (d) 39
  22. 22.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 22 (b) 19 (c) 24 (d) 20
  23. 23.What comes next? 10, 14, 18, 22, 26, ? (a) 31 (b) 30 (c) 34 (d) 29
  24. 24.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 17 (b) 16 (c) 11 (d) 12
  25. 25.What comes next? 20, 31, 42, 53, 64, ? (a) 75 (b) 74 (c) 86 (d) 76
  26. 26.What comes next? 23, 28, 33, 38, 43, ? (a) 49 (b) 53 (c) 47 (d) 48
  27. 27.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 31 (d) 32
  28. 28.What comes next? 15, 24, 33, 42, 51, ? (a) 60 (b) 69 (c) 61 (d) 59
  29. 29.What comes next? 62, 53, 44, 35, 26, ? (a) 16 (b) 8 (c) 18 (d) 17
  30. 30.What comes next? 52, 46, 40, 34, 28, ? (a) 21 (b) 16 (c) 23 (d) 22
  31. 31.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 18 (c) 20 (d) 19
  32. 32.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  33. 33.What comes next? 44, 41, 38, 35, 32, ? (a) 28 (b) 29 (c) 30 (d) 26
  34. 34.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 8 (b) 7 (c) 12 (d) 10
  35. 35.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 26 (c) 28 (d) 29
  36. 36.What comes next? 10, 19, 28, 37, 46, ? (a) 55 (b) 56 (c) 64 (d) 54
  37. 37.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 7 (c) 9 (d) 8
  38. 38.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 22 (c) 23 (d) 21
  39. 39.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 24 (b) 25 (c) 19 (d) 20
  40. 40.What comes next? 55, 47, 39, 31, 23, ? (a) 15 (b) 16 (c) 14 (d) 7

Answer key

  1. 27
  2. 96
  3. 7
  4. 81
  5. 8
  6. 76
  7. 19
  8. 24
  9. 64
  10. 26
  11. 192
  12. 15
  13. 128
  14. 15
  15. 51
  16. 22
  17. 45
  18. 9
  19. 36
  20. 33
  21. 39
  22. 20
  23. 30
  24. 12
  25. 75
  26. 48
  27. 32
  28. 60
  29. 17
  30. 22
  31. 19
  32. 160
  33. 29
  34. 8
  35. 27
  36. 55
  37. 7
  38. 21
  39. 20
  40. 15

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