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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 577 · 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. 1.123456 × 9 + 7 =
  2. 2.123 × 8 + 3 =
  3. 3.12345678 × 9 + 9 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 72 =
  6. 6.37 × 6 =
  7. 7.123 × 9 + 4 =
  8. 8.111111 × 111111 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 18 =
  11. 11.12345679 × 36 =
  12. 12.111 × 111 =
  13. 13.37 × 27 =
  14. 14.37 × 3 =
  15. 15.11111 × 11111 =
  16. 16.1234567 × 9 + 8 =
  17. 17.12345 × 8 + 5 =
  18. 18.11 × 11 =
  19. 19.12345679 × 9 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345 × 9 + 6 =
  22. 22.37 × 12 =
  23. 23.12 × 9 + 3 =
  24. 24.123456 × 8 + 6 =
  25. 25.12 × 8 + 2 =
  26. 26.37 × 18 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 45 =
  29. 29.1111 × 1111 =
  30. 30.12345679 × 81 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 9 =
  33. 33.1234 × 8 + 4 =
  34. 34.37 × 24 =
  35. 35.1234 × 9 + 5 =
  36. 36.37 × 15 =
  37. 37.123456 × 9 + 7 =
  38. 38.11111 × 11111 =
  39. 39.12345679 × 27 =
  40. 40.37 × 3 =

Answer key

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

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