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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 416 · 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 × 9 =
  2. 2.37 × 21 =
  3. 3.123456 × 9 + 7 =
  4. 4.123 × 8 + 3 =
  5. 5.12345679 × 36 =
  6. 6.37 × 6 =
  7. 7.12 × 9 + 3 =
  8. 8.12345679 × 54 =
  9. 9.37 × 27 =
  10. 10.12345678 × 9 + 9 =
  11. 11.12345679 × 72 =
  12. 12.37 × 12 =
  13. 13.12345678 × 8 + 8 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 45 =
  17. 17.1234 × 9 + 5 =
  18. 18.111111 × 111111 =
  19. 19.11 × 11 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345679 × 27 =
  22. 22.12 × 8 + 2 =
  23. 23.12345 × 8 + 5 =
  24. 24.111 × 111 =
  25. 25.37 × 3 =
  26. 26.12345 × 9 + 6 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345679 × 81 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 18 =
  31. 31.1111 × 1111 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 18 =
  34. 34.123 × 9 + 4 =
  35. 35.12345679 × 63 =
  36. 36.37 × 24 =
  37. 37.12345679 × 45 =
  38. 38.123456789 × 8 + 9 =
  39. 39.123 × 8 + 3 =
  40. 40.12345679 × 9 =

Answer key

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

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