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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 556 · 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 × 18 =
  2. 2.11 × 11 =
  3. 3.37 × 27 =
  4. 4.12 × 8 + 2 =
  5. 5.111 × 111 =
  6. 6.37 × 9 =
  7. 7.37 × 24 =
  8. 8.12345 × 8 + 5 =
  9. 9.12345679 × 81 =
  10. 10.123456789 × 8 + 9 =
  11. 11.11111 × 11111 =
  12. 12.12345679 × 18 =
  13. 13.12345679 × 72 =
  14. 14.37 × 3 =
  15. 15.37 × 15 =
  16. 16.12345678 × 8 + 8 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345679 × 63 =
  19. 19.12345679 × 36 =
  20. 20.12345679 × 9 =
  21. 21.123 × 8 + 3 =
  22. 22.123 × 9 + 4 =
  23. 23.111111 × 111111 =
  24. 24.12345679 × 45 =
  25. 25.123456 × 8 + 6 =
  26. 26.12345678 × 9 + 9 =
  27. 27.1234567 × 9 + 8 =
  28. 28.37 × 21 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345 × 9 + 6 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 18 =
  33. 33.37 × 12 =
  34. 34.12345679 × 27 =
  35. 35.37 × 3 =
  36. 36.37 × 24 =
  37. 37.12 × 9 + 3 =
  38. 38.12345679 × 72 =
  39. 39.12345679 × 81 =
  40. 40.1111 × 1111 =

Answer key

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

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