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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 213 · 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. 2.37 × 6 =
  3. 3.12345679 × 18 =
  4. 4.12345679 × 45 =
  5. 5.12 × 8 + 2 =
  6. 6.37 × 24 =
  7. 7.11111 × 11111 =
  8. 8.11 × 11 =
  9. 9.37 × 15 =
  10. 10.12345679 × 27 =
  11. 11.12345678 × 8 + 8 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345679 × 54 =
  14. 14.123 × 8 + 3 =
  15. 15.1111 × 1111 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345678 × 9 + 9 =
  18. 18.37 × 3 =
  19. 19.12345679 × 72 =
  20. 20.37 × 12 =
  21. 21.37 × 27 =
  22. 22.12345 × 8 + 5 =
  23. 23.123456789 × 8 + 9 =
  24. 24.123 × 9 + 4 =
  25. 25.12345679 × 9 =
  26. 26.111 × 111 =
  27. 27.123456 × 8 + 6 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 81 =
  30. 30.37 × 21 =
  31. 31.12345679 × 63 =
  32. 32.12 × 9 + 3 =
  33. 33.1234567 × 8 + 7 =
  34. 34.37 × 6 =
  35. 35.37 × 18 =
  36. 36.12345678 × 9 + 9 =
  37. 37.123456 × 9 + 7 =
  38. 38.111111 × 111111 =
  39. 39.1234 × 8 + 4 =
  40. 40.1234 × 9 + 5 =

Answer key

  1. 11111111
  2. 222
  3. 222222222
  4. 555555555
  5. 98
  6. 888
  7. 123454321
  8. 121
  9. 555
  10. 333333333
  11. 98765432
  12. 11111
  13. 666666666
  14. 987
  15. 1234321
  16. 111111
  17. 111111111
  18. 111
  19. 888888888
  20. 444
  21. 999
  22. 98765
  23. 987654321
  24. 1111
  25. 111111111
  26. 12321
  27. 987654
  28. 9876
  29. 999999999
  30. 777
  31. 777777777
  32. 111
  33. 9876543
  34. 222
  35. 666
  36. 111111111
  37. 1111111
  38. 12345654321
  39. 9876
  40. 11111

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