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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 319 · 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 × 18 =
  2. 2.12345679 × 18 =
  3. 3.37 × 24 =
  4. 4.12345678 × 9 + 9 =
  5. 5.11111 × 11111 =
  6. 6.1234567 × 8 + 7 =
  7. 7.12345679 × 27 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345679 × 72 =
  10. 10.37 × 21 =
  11. 11.123 × 8 + 3 =
  12. 12.1234 × 8 + 4 =
  13. 13.37 × 9 =
  14. 14.12345678 × 8 + 8 =
  15. 15.37 × 15 =
  16. 16.12345679 × 63 =
  17. 17.1111 × 1111 =
  18. 18.11 × 11 =
  19. 19.111 × 111 =
  20. 20.12345679 × 36 =
  21. 21.37 × 6 =
  22. 22.12 × 8 + 2 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 3 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12345 × 8 + 5 =
  27. 27.37 × 27 =
  28. 28.111111 × 111111 =
  29. 29.123 × 9 + 4 =
  30. 30.37 × 12 =
  31. 31.12345 × 9 + 6 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 81 =
  34. 34.1234 × 9 + 5 =
  35. 35.1234567 × 8 + 7 =
  36. 36.37 × 12 =
  37. 37.12345679 × 9 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345679 × 54 =
  40. 40.12 × 9 + 3 =

Answer key

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

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