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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 399 · 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 × 36 =
  2. 2.37 × 15 =
  3. 3.1234 × 9 + 5 =
  4. 4.12345679 × 63 =
  5. 5.12345 × 9 + 6 =
  6. 6.37 × 27 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345 × 8 + 5 =
  9. 9.123 × 9 + 4 =
  10. 10.123456 × 8 + 6 =
  11. 11.12345679 × 9 =
  12. 12.37 × 21 =
  13. 13.111111 × 111111 =
  14. 14.1111 × 1111 =
  15. 15.12345678 × 9 + 9 =
  16. 16.123456 × 9 + 7 =
  17. 17.12 × 9 + 3 =
  18. 18.37 × 12 =
  19. 19.12345679 × 72 =
  20. 20.12345679 × 45 =
  21. 21.37 × 9 =
  22. 22.12345679 × 81 =
  23. 23.37 × 3 =
  24. 24.12345679 × 27 =
  25. 25.11111 × 11111 =
  26. 26.37 × 24 =
  27. 27.1234567 × 9 + 8 =
  28. 28.123456789 × 8 + 9 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 18 =
  31. 31.111 × 111 =
  32. 32.123 × 8 + 3 =
  33. 33.12345679 × 54 =
  34. 34.12 × 8 + 2 =
  35. 35.37 × 6 =
  36. 36.12345679 × 36 =
  37. 37.12 × 8 + 2 =
  38. 38.12345678 × 8 + 8 =
  39. 39.12345679 × 18 =
  40. 40.12345679 × 54 =

Answer key

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

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