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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 459 · 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. 2.12345679 × 18 =
  3. 3.37 × 21 =
  4. 4.111111 × 111111 =
  5. 5.11 × 11 =
  6. 6.12 × 9 + 3 =
  7. 7.12 × 8 + 2 =
  8. 8.1234567 × 8 + 7 =
  9. 9.37 × 12 =
  10. 10.37 × 3 =
  11. 11.12345679 × 36 =
  12. 12.37 × 27 =
  13. 13.1234 × 9 + 5 =
  14. 14.37 × 9 =
  15. 15.12345 × 8 + 5 =
  16. 16.12345679 × 81 =
  17. 17.123456 × 8 + 6 =
  18. 18.37 × 15 =
  19. 19.12345678 × 9 + 9 =
  20. 20.1234 × 8 + 4 =
  21. 21.12345679 × 9 =
  22. 22.11111 × 11111 =
  23. 23.37 × 24 =
  24. 24.111 × 111 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 27 =
  28. 28.123 × 8 + 3 =
  29. 29.12345679 × 45 =
  30. 30.123456 × 9 + 7 =
  31. 31.12345 × 9 + 6 =
  32. 32.123 × 9 + 4 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 63 =
  35. 35.11 × 11 =
  36. 36.1111 × 1111 =
  37. 37.37 × 18 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345678 × 8 + 8 =
  40. 40.111111 × 111111 =

Answer key

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

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