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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 684 · 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. 2.1111 × 1111 =
  3. 3.11111 × 11111 =
  4. 4.37 × 6 =
  5. 5.111 × 111 =
  6. 6.37 × 27 =
  7. 7.37 × 3 =
  8. 8.12345679 × 81 =
  9. 9.12345679 × 45 =
  10. 10.37 × 15 =
  11. 11.12345 × 9 + 6 =
  12. 12.37 × 18 =
  13. 13.123 × 9 + 4 =
  14. 14.12 × 9 + 3 =
  15. 15.12345679 × 9 =
  16. 16.37 × 24 =
  17. 17.111111 × 111111 =
  18. 18.12 × 8 + 2 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345679 × 54 =
  21. 21.123456 × 9 + 7 =
  22. 22.37 × 9 =
  23. 23.1234 × 9 + 5 =
  24. 24.11 × 11 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 36 =
  27. 27.12345679 × 18 =
  28. 28.12345678 × 9 + 9 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345679 × 63 =
  31. 31.12345 × 8 + 5 =
  32. 32.12345678 × 8 + 8 =
  33. 33.123 × 8 + 3 =
  34. 34.111111 × 111111 =
  35. 35.37 × 6 =
  36. 36.123456 × 8 + 6 =
  37. 37.12345679 × 72 =
  38. 38.37 × 21 =
  39. 39.37 × 12 =
  40. 40.37 × 9 =

Answer key

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

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