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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 71 · 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. 1.111111 × 111111 =
  2. 2.12345679 × 9 =
  3. 3.37 × 15 =
  4. 4.12345679 × 45 =
  5. 5.11 × 11 =
  6. 6.12345679 × 36 =
  7. 7.37 × 12 =
  8. 8.37 × 24 =
  9. 9.123 × 8 + 3 =
  10. 10.37 × 6 =
  11. 11.12345678 × 8 + 8 =
  12. 12.123456789 × 8 + 9 =
  13. 13.37 × 9 =
  14. 14.12345678 × 9 + 9 =
  15. 15.37 × 21 =
  16. 16.37 × 18 =
  17. 17.1234 × 8 + 4 =
  18. 18.111 × 111 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345679 × 18 =
  21. 21.12345679 × 63 =
  22. 22.12 × 9 + 3 =
  23. 23.37 × 3 =
  24. 24.123456 × 9 + 7 =
  25. 25.1234 × 9 + 5 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 27 =
  28. 28.12345679 × 72 =
  29. 29.37 × 27 =
  30. 30.1234567 × 8 + 7 =
  31. 31.123 × 9 + 4 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 81 =
  34. 34.12345679 × 27 =
  35. 35.37 × 6 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 54 =
  38. 38.1111 × 1111 =
  39. 39.123456 × 8 + 6 =
  40. 40.111 × 111 =

Answer key

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

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