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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 113 · 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 × 8 + 7 =
  2. 2.123 × 9 + 4 =
  3. 3.1234567 × 9 + 8 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 81 =
  6. 6.12345679 × 63 =
  7. 7.1234 × 9 + 5 =
  8. 8.11 × 11 =
  9. 9.37 × 15 =
  10. 10.12345679 × 18 =
  11. 11.12 × 9 + 3 =
  12. 12.37 × 3 =
  13. 13.37 × 9 =
  14. 14.37 × 21 =
  15. 15.111111 × 111111 =
  16. 16.12345679 × 27 =
  17. 17.12345 × 8 + 5 =
  18. 18.37 × 12 =
  19. 19.1111 × 1111 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 45 =
  22. 22.12 × 8 + 2 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345 × 9 + 6 =
  25. 25.123456 × 8 + 6 =
  26. 26.37 × 24 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345678 × 9 + 9 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345678 × 8 + 8 =
  31. 31.111 × 111 =
  32. 32.12345679 × 54 =
  33. 33.11 × 11 =
  34. 34.37 × 18 =
  35. 35.37 × 27 =
  36. 36.12345679 × 9 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345679 × 72 =
  39. 39.1234 × 8 + 4 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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