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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 331 · 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. 1.1234567 × 9 + 8 =
  2. 2.12345679 × 72 =
  3. 3.111 × 111 =
  4. 4.1111 × 1111 =
  5. 5.111111 × 111111 =
  6. 6.37 × 3 =
  7. 7.12345679 × 45 =
  8. 8.37 × 15 =
  9. 9.12 × 8 + 2 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345678 × 9 + 9 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 12 =
  14. 14.11111 × 11111 =
  15. 15.123456 × 9 + 7 =
  16. 16.37 × 27 =
  17. 17.12345 × 9 + 6 =
  18. 18.12 × 9 + 3 =
  19. 19.11 × 11 =
  20. 20.12345679 × 63 =
  21. 21.123 × 8 + 3 =
  22. 22.12345679 × 54 =
  23. 23.1234 × 9 + 5 =
  24. 24.12345679 × 18 =
  25. 25.12345679 × 81 =
  26. 26.12345678 × 8 + 8 =
  27. 27.37 × 18 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 21 =
  30. 30.37 × 6 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 21 =
  33. 33.37 × 9 =
  34. 34.12345679 × 36 =
  35. 35.12345679 × 63 =
  36. 36.12345 × 8 + 5 =
  37. 37.37 × 24 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345679 × 9 =
  40. 40.1111 × 1111 =

Answer key

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

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