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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 68 · 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. 1.12345679 × 9 =
  2. 2.111111 × 111111 =
  3. 3.37 × 6 =
  4. 4.12345679 × 18 =
  5. 5.37 × 18 =
  6. 6.37 × 24 =
  7. 7.37 × 15 =
  8. 8.12345 × 8 + 5 =
  9. 9.11 × 11 =
  10. 10.11111 × 11111 =
  11. 11.12345 × 9 + 6 =
  12. 12.1111 × 1111 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 81 =
  15. 15.37 × 9 =
  16. 16.12 × 8 + 2 =
  17. 17.12345678 × 8 + 8 =
  18. 18.37 × 12 =
  19. 19.12345679 × 63 =
  20. 20.12345679 × 72 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12 × 9 + 3 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 36 =
  25. 25.37 × 3 =
  26. 26.123 × 8 + 3 =
  27. 27.123456 × 8 + 6 =
  28. 28.123456789 × 8 + 9 =
  29. 29.123 × 9 + 4 =
  30. 30.12345679 × 27 =
  31. 31.12345679 × 45 =
  32. 32.37 × 21 =
  33. 33.37 × 27 =
  34. 34.111 × 111 =
  35. 35.37 × 3 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 6 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345679 × 72 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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