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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 221 · 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. 1.12 × 9 + 3 =
  2. 2.12345679 × 9 =
  3. 3.12345678 × 9 + 9 =
  4. 4.1234 × 9 + 5 =
  5. 5.37 × 24 =
  6. 6.12 × 8 + 2 =
  7. 7.12345 × 9 + 6 =
  8. 8.37 × 21 =
  9. 9.1234567 × 9 + 8 =
  10. 10.12345679 × 72 =
  11. 11.12345679 × 18 =
  12. 12.37 × 3 =
  13. 13.37 × 27 =
  14. 14.11 × 11 =
  15. 15.123 × 8 + 3 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12345 × 8 + 5 =
  18. 18.12345679 × 81 =
  19. 19.111111 × 111111 =
  20. 20.37 × 9 =
  21. 21.12345679 × 27 =
  22. 22.12345679 × 63 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 36 =
  26. 26.37 × 6 =
  27. 27.111 × 111 =
  28. 28.11111 × 11111 =
  29. 29.123456 × 9 + 7 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 18 =
  32. 32.37 × 15 =
  33. 33.1111 × 1111 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 12 =
  36. 36.123456789 × 8 + 9 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345679 × 54 =
  39. 39.37 × 24 =
  40. 40.111 × 111 =

Answer key

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

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