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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 531 · 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 × 15 =
  2. 2.11 × 11 =
  3. 3.12345679 × 63 =
  4. 4.37 × 9 =
  5. 5.111111 × 111111 =
  6. 6.12 × 9 + 3 =
  7. 7.1234 × 8 + 4 =
  8. 8.37 × 3 =
  9. 9.12345679 × 18 =
  10. 10.37 × 6 =
  11. 11.12345679 × 81 =
  12. 12.37 × 21 =
  13. 13.12345679 × 9 =
  14. 14.123 × 9 + 4 =
  15. 15.1234567 × 8 + 7 =
  16. 16.123456 × 8 + 6 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345 × 8 + 5 =
  19. 19.1111 × 1111 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 24 =
  22. 22.111 × 111 =
  23. 23.12345679 × 54 =
  24. 24.123456789 × 8 + 9 =
  25. 25.37 × 27 =
  26. 26.12345679 × 72 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 45 =
  29. 29.123 × 8 + 3 =
  30. 30.12345679 × 27 =
  31. 31.12345678 × 9 + 9 =
  32. 32.11111 × 11111 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345 × 9 + 6 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 18 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12 × 8 + 2 =
  39. 39.12 × 9 + 3 =
  40. 40.37 × 12 =

Answer key

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

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