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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 406 · 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 × 27 =
  2. 2.123 × 9 + 4 =
  3. 3.12345679 × 9 =
  4. 4.12345678 × 8 + 8 =
  5. 5.12345679 × 36 =
  6. 6.11 × 11 =
  7. 7.12345679 × 54 =
  8. 8.1234 × 9 + 5 =
  9. 9.123 × 8 + 3 =
  10. 10.111111 × 111111 =
  11. 11.1111 × 1111 =
  12. 12.37 × 15 =
  13. 13.12345 × 8 + 5 =
  14. 14.12345679 × 18 =
  15. 15.12345679 × 27 =
  16. 16.37 × 21 =
  17. 17.37 × 3 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 81 =
  20. 20.1234 × 8 + 4 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345679 × 63 =
  23. 23.1234567 × 9 + 8 =
  24. 24.37 × 6 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12 × 9 + 3 =
  27. 27.12345679 × 72 =
  28. 28.37 × 9 =
  29. 29.11111 × 11111 =
  30. 30.12 × 8 + 2 =
  31. 31.37 × 18 =
  32. 32.37 × 24 =
  33. 33.37 × 12 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123456 × 8 + 6 =
  36. 36.12345 × 9 + 6 =
  37. 37.111111 × 111111 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 45 =
  40. 40.111 × 111 =

Answer key

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

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