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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 411 · 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. 1.123 × 9 + 4 =
  2. 2.12345679 × 36 =
  3. 3.12345679 × 72 =
  4. 4.37 × 18 =
  5. 5.12345679 × 45 =
  6. 6.1111 × 1111 =
  7. 7.37 × 6 =
  8. 8.37 × 9 =
  9. 9.37 × 27 =
  10. 10.37 × 21 =
  11. 11.123456789 × 8 + 9 =
  12. 12.111111 × 111111 =
  13. 13.12345679 × 63 =
  14. 14.12345 × 8 + 5 =
  15. 15.12345 × 9 + 6 =
  16. 16.37 × 12 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345679 × 81 =
  19. 19.11 × 11 =
  20. 20.123456 × 8 + 6 =
  21. 21.11111 × 11111 =
  22. 22.12 × 9 + 3 =
  23. 23.123456 × 9 + 7 =
  24. 24.1234 × 9 + 5 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12 × 8 + 2 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 18 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 15 =
  31. 31.111 × 111 =
  32. 32.37 × 3 =
  33. 33.12345679 × 9 =
  34. 34.12345678 × 8 + 8 =
  35. 35.12345679 × 27 =
  36. 36.123 × 8 + 3 =
  37. 37.37 × 24 =
  38. 38.12345679 × 54 =
  39. 39.12345679 × 54 =
  40. 40.12345679 × 81 =

Answer key

  1. 1111
  2. 444444444
  3. 888888888
  4. 666
  5. 555555555
  6. 1234321
  7. 222
  8. 333
  9. 999
  10. 777
  11. 987654321
  12. 12345654321
  13. 777777777
  14. 98765
  15. 111111
  16. 444
  17. 9876543
  18. 999999999
  19. 121
  20. 987654
  21. 123454321
  22. 111
  23. 1111111
  24. 11111
  25. 111111111
  26. 98
  27. 11111111
  28. 222222222
  29. 9876
  30. 555
  31. 12321
  32. 111
  33. 111111111
  34. 98765432
  35. 333333333
  36. 987
  37. 888
  38. 666666666
  39. 666666666
  40. 999999999

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