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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 235 · 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 × 21 =
  2. 2.12345679 × 18 =
  3. 3.37 × 9 =
  4. 4.37 × 12 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345678 × 8 + 8 =
  7. 7.123456 × 9 + 7 =
  8. 8.37 × 15 =
  9. 9.12345678 × 9 + 9 =
  10. 10.12345679 × 27 =
  11. 11.123 × 9 + 4 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 18 =
  14. 14.12345679 × 72 =
  15. 15.12 × 9 + 3 =
  16. 16.37 × 27 =
  17. 17.12345679 × 36 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 81 =
  20. 20.12345679 × 54 =
  21. 21.1234 × 9 + 5 =
  22. 22.12 × 8 + 2 =
  23. 23.37 × 3 =
  24. 24.12345 × 9 + 6 =
  25. 25.123456789 × 8 + 9 =
  26. 26.11 × 11 =
  27. 27.12345679 × 63 =
  28. 28.111111 × 111111 =
  29. 29.111 × 111 =
  30. 30.12345 × 8 + 5 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 24 =
  33. 33.11111 × 11111 =
  34. 34.12345679 × 9 =
  35. 35.1111 × 1111 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 45 =
  38. 38.37 × 6 =
  39. 39.1234 × 9 + 5 =
  40. 40.111 × 111 =

Answer key

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

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