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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 183 · 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. 1.12345679 × 27 =
  2. 2.12345 × 8 + 5 =
  3. 3.37 × 24 =
  4. 4.12345679 × 45 =
  5. 5.123 × 8 + 3 =
  6. 6.12345679 × 54 =
  7. 7.1234 × 8 + 4 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12345678 × 9 + 9 =
  10. 10.11 × 11 =
  11. 11.12345678 × 8 + 8 =
  12. 12.37 × 15 =
  13. 13.1111 × 1111 =
  14. 14.111 × 111 =
  15. 15.12345679 × 72 =
  16. 16.123456789 × 8 + 9 =
  17. 17.1234567 × 8 + 7 =
  18. 18.11111 × 11111 =
  19. 19.37 × 12 =
  20. 20.111111 × 111111 =
  21. 21.37 × 6 =
  22. 22.12345679 × 63 =
  23. 23.37 × 9 =
  24. 24.12345679 × 81 =
  25. 25.12 × 8 + 2 =
  26. 26.12 × 9 + 3 =
  27. 27.37 × 27 =
  28. 28.123 × 9 + 4 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 36 =
  31. 31.123456 × 9 + 7 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 3 =
  34. 34.12345679 × 9 =
  35. 35.37 × 18 =
  36. 36.12345679 × 18 =
  37. 37.37 × 21 =
  38. 38.1234 × 9 + 5 =
  39. 39.37 × 24 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 333333333
  2. 98765
  3. 888
  4. 555555555
  5. 987
  6. 666666666
  7. 9876
  8. 11111111
  9. 111111111
  10. 121
  11. 98765432
  12. 555
  13. 1234321
  14. 12321
  15. 888888888
  16. 987654321
  17. 9876543
  18. 123454321
  19. 444
  20. 12345654321
  21. 222
  22. 777777777
  23. 333
  24. 999999999
  25. 98
  26. 111
  27. 999
  28. 1111
  29. 111
  30. 444444444
  31. 1111111
  32. 987654
  33. 111
  34. 111111111
  35. 666
  36. 222222222
  37. 777
  38. 11111
  39. 888
  40. 111111

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