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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 117 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.12 × 8 + 2 =
  2. 2.1111 × 1111 =
  3. 3.123456789 × 8 + 9 =
  4. 4.12345678 × 9 + 9 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345679 × 27 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 12 =
  9. 9.11111 × 11111 =
  10. 10.12345679 × 54 =
  11. 11.12345 × 9 + 6 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345679 × 45 =
  14. 14.111111 × 111111 =
  15. 15.111 × 111 =
  16. 16.37 × 27 =
  17. 17.37 × 3 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345679 × 9 =
  20. 20.12345679 × 36 =
  21. 21.1234 × 8 + 4 =
  22. 22.123 × 9 + 4 =
  23. 23.37 × 15 =
  24. 24.12345679 × 81 =
  25. 25.123456 × 9 + 7 =
  26. 26.37 × 21 =
  27. 27.123456 × 8 + 6 =
  28. 28.11 × 11 =
  29. 29.37 × 9 =
  30. 30.12345679 × 18 =
  31. 31.37 × 18 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 24 =
  34. 34.12345679 × 63 =
  35. 35.12345 × 8 + 5 =
  36. 36.37 × 6 =
  37. 37.12345679 × 9 =
  38. 38.12345679 × 72 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345678 × 8 + 8 =

Answer key

  1. 98
  2. 1234321
  3. 987654321
  4. 111111111
  5. 11111111
  6. 333333333
  7. 111
  8. 444
  9. 123454321
  10. 666666666
  11. 111111
  12. 11111
  13. 555555555
  14. 12345654321
  15. 12321
  16. 999
  17. 111
  18. 9876543
  19. 111111111
  20. 444444444
  21. 9876
  22. 1111
  23. 555
  24. 999999999
  25. 1111111
  26. 777
  27. 987654
  28. 121
  29. 333
  30. 222222222
  31. 666
  32. 987
  33. 888
  34. 777777777
  35. 98765
  36. 222
  37. 111111111
  38. 888888888
  39. 987654321
  40. 98765432

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