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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 741 · 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. 1.12345678 × 9 + 9 =
  2. 2.37 × 27 =
  3. 3.12 × 9 + 3 =
  4. 4.111 × 111 =
  5. 5.37 × 21 =
  6. 6.123456 × 8 + 6 =
  7. 7.12345679 × 18 =
  8. 8.37 × 9 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 81 =
  11. 11.123 × 8 + 3 =
  12. 12.1234 × 9 + 5 =
  13. 13.11111 × 11111 =
  14. 14.123456789 × 8 + 9 =
  15. 15.1234567 × 8 + 7 =
  16. 16.37 × 3 =
  17. 17.37 × 12 =
  18. 18.12345679 × 54 =
  19. 19.12345679 × 36 =
  20. 20.1111 × 1111 =
  21. 21.123 × 9 + 4 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 18 =
  24. 24.11 × 11 =
  25. 25.12345 × 9 + 6 =
  26. 26.37 × 15 =
  27. 27.12345679 × 9 =
  28. 28.111111 × 111111 =
  29. 29.37 × 24 =
  30. 30.12345 × 8 + 5 =
  31. 31.1234567 × 9 + 8 =
  32. 32.12345679 × 27 =
  33. 33.37 × 6 =
  34. 34.1234 × 8 + 4 =
  35. 35.123456 × 9 + 7 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 72 =
  39. 39.123 × 8 + 3 =
  40. 40.12345679 × 18 =

Answer key

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

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