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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 585 · 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. 1.37 × 27 =
  2. 2.123456789 × 8 + 9 =
  3. 3.123 × 9 + 4 =
  4. 4.1234567 × 8 + 7 =
  5. 5.37 × 6 =
  6. 6.12345679 × 45 =
  7. 7.11 × 11 =
  8. 8.37 × 9 =
  9. 9.12345 × 8 + 5 =
  10. 10.37 × 15 =
  11. 11.37 × 3 =
  12. 12.12345679 × 81 =
  13. 13.12345 × 9 + 6 =
  14. 14.37 × 18 =
  15. 15.12345679 × 54 =
  16. 16.123456 × 8 + 6 =
  17. 17.37 × 12 =
  18. 18.111 × 111 =
  19. 19.12345679 × 27 =
  20. 20.123456 × 9 + 7 =
  21. 21.11111 × 11111 =
  22. 22.1234 × 8 + 4 =
  23. 23.12 × 9 + 3 =
  24. 24.12345679 × 9 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345679 × 63 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 18 =
  29. 29.12345679 × 72 =
  30. 30.12345679 × 36 =
  31. 31.37 × 24 =
  32. 32.1234 × 9 + 5 =
  33. 33.1111 × 1111 =
  34. 34.12 × 8 + 2 =
  35. 35.111111 × 111111 =
  36. 36.123 × 8 + 3 =
  37. 37.123 × 9 + 4 =
  38. 38.12345678 × 9 + 9 =
  39. 39.12345679 × 36 =
  40. 40.37 × 21 =

Answer key

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

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