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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 196 · 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. 2.37 × 3 =
  3. 3.1234567 × 9 + 8 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 9 =
  6. 6.123456 × 8 + 6 =
  7. 7.111 × 111 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 36 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 18 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 27 =
  15. 15.12345678 × 9 + 9 =
  16. 16.37 × 15 =
  17. 17.123 × 9 + 4 =
  18. 18.123456789 × 8 + 9 =
  19. 19.11111 × 11111 =
  20. 20.12 × 9 + 3 =
  21. 21.37 × 9 =
  22. 22.11 × 11 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12345679 × 72 =
  25. 25.37 × 21 =
  26. 26.12345 × 9 + 6 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345679 × 63 =
  29. 29.12345679 × 45 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 24 =
  32. 32.12345679 × 18 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 27 =
  35. 35.37 × 12 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 81 =
  38. 38.111111 × 111111 =
  39. 39.1234567 × 9 + 8 =
  40. 40.37 × 15 =

Answer key

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

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