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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 419 · 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. 2.11111 × 11111 =
  3. 3.12345679 × 36 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12345679 × 45 =
  6. 6.11 × 11 =
  7. 7.12345 × 9 + 6 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 27 =
  10. 10.37 × 9 =
  11. 11.37 × 24 =
  12. 12.12345679 × 18 =
  13. 13.37 × 27 =
  14. 14.1234 × 8 + 4 =
  15. 15.1111 × 1111 =
  16. 16.1234 × 9 + 5 =
  17. 17.37 × 3 =
  18. 18.12345678 × 9 + 9 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345679 × 63 =
  22. 22.111111 × 111111 =
  23. 23.12 × 9 + 3 =
  24. 24.123 × 9 + 4 =
  25. 25.37 × 21 =
  26. 26.12345679 × 9 =
  27. 27.37 × 18 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12 × 8 + 2 =
  30. 30.12345 × 8 + 5 =
  31. 31.111 × 111 =
  32. 32.12345679 × 72 =
  33. 33.12345679 × 63 =
  34. 34.37 × 12 =
  35. 35.37 × 6 =
  36. 36.12345679 × 54 =
  37. 37.123456 × 8 + 6 =
  38. 38.37 × 3 =
  39. 39.1234 × 9 + 5 =
  40. 40.37 × 12 =

Answer key

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

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