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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 762 · 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. 1.37 × 9 =
  2. 2.12345678 × 9 + 9 =
  3. 3.1234567 × 8 + 7 =
  4. 4.37 × 21 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 72 =
  7. 7.12345 × 9 + 6 =
  8. 8.37 × 3 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345 × 8 + 5 =
  11. 11.12345678 × 8 + 8 =
  12. 12.12345679 × 36 =
  13. 13.12345679 × 63 =
  14. 14.37 × 6 =
  15. 15.111 × 111 =
  16. 16.1234 × 8 + 4 =
  17. 17.1234567 × 9 + 8 =
  18. 18.37 × 24 =
  19. 19.123456 × 9 + 7 =
  20. 20.37 × 18 =
  21. 21.37 × 15 =
  22. 22.1111 × 1111 =
  23. 23.12 × 8 + 2 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 18 =
  26. 26.123456789 × 8 + 9 =
  27. 27.37 × 27 =
  28. 28.11 × 11 =
  29. 29.11111 × 11111 =
  30. 30.12345679 × 54 =
  31. 31.123456 × 8 + 6 =
  32. 32.12345679 × 9 =
  33. 33.12345679 × 27 =
  34. 34.123 × 8 + 3 =
  35. 35.123 × 9 + 4 =
  36. 36.12 × 9 + 3 =
  37. 37.11 × 11 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 63 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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