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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 694 · 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. 1.123456 × 9 + 7 =
  2. 2.37 × 6 =
  3. 3.12345678 × 8 + 8 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 27 =
  6. 6.12345678 × 9 + 9 =
  7. 7.1234 × 8 + 4 =
  8. 8.111 × 111 =
  9. 9.1111 × 1111 =
  10. 10.37 × 15 =
  11. 11.12345679 × 9 =
  12. 12.37 × 3 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 36 =
  15. 15.37 × 9 =
  16. 16.12 × 9 + 3 =
  17. 17.12345 × 8 + 5 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345679 × 72 =
  20. 20.37 × 27 =
  21. 21.37 × 21 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 63 =
  24. 24.12345 × 9 + 6 =
  25. 25.123 × 8 + 3 =
  26. 26.37 × 24 =
  27. 27.12345679 × 45 =
  28. 28.11 × 11 =
  29. 29.12345679 × 54 =
  30. 30.11111 × 11111 =
  31. 31.1234 × 9 + 5 =
  32. 32.37 × 12 =
  33. 33.1234567 × 8 + 7 =
  34. 34.37 × 18 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 72 =
  37. 37.123 × 9 + 4 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 36 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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