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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 658 · 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 × 6 =
  2. 2.12345678 × 9 + 9 =
  3. 3.123 × 8 + 3 =
  4. 4.111111 × 111111 =
  5. 5.12345 × 9 + 6 =
  6. 6.37 × 9 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345678 × 8 + 8 =
  9. 9.123456789 × 8 + 9 =
  10. 10.11 × 11 =
  11. 11.37 × 21 =
  12. 12.37 × 3 =
  13. 13.12345679 × 54 =
  14. 14.12 × 9 + 3 =
  15. 15.123456 × 9 + 7 =
  16. 16.37 × 12 =
  17. 17.1111 × 1111 =
  18. 18.11111 × 11111 =
  19. 19.37 × 15 =
  20. 20.111 × 111 =
  21. 21.1234567 × 9 + 8 =
  22. 22.123456 × 8 + 6 =
  23. 23.12345679 × 18 =
  24. 24.12345679 × 45 =
  25. 25.37 × 27 =
  26. 26.123 × 9 + 4 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345679 × 81 =
  29. 29.12345679 × 27 =
  30. 30.37 × 24 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 9 =
  33. 33.12345679 × 72 =
  34. 34.37 × 18 =
  35. 35.1234 × 9 + 5 =
  36. 36.123 × 9 + 4 =
  37. 37.12 × 8 + 2 =
  38. 38.1234 × 8 + 4 =
  39. 39.11 × 11 =
  40. 40.12345679 × 45 =

Answer key

  1. 222
  2. 111111111
  3. 987
  4. 12345654321
  5. 111111
  6. 333
  7. 9876543
  8. 98765432
  9. 987654321
  10. 121
  11. 777
  12. 111
  13. 666666666
  14. 111
  15. 1111111
  16. 444
  17. 1234321
  18. 123454321
  19. 555
  20. 12321
  21. 11111111
  22. 987654
  23. 222222222
  24. 555555555
  25. 999
  26. 1111
  27. 98765
  28. 999999999
  29. 333333333
  30. 888
  31. 444444444
  32. 111111111
  33. 888888888
  34. 666
  35. 11111
  36. 1111
  37. 98
  38. 9876
  39. 121
  40. 555555555

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