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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 38 · 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 × 54 =
  2. 2.12 × 8 + 2 =
  3. 3.12345679 × 18 =
  4. 4.111 × 111 =
  5. 5.37 × 15 =
  6. 6.1234567 × 8 + 7 =
  7. 7.12345678 × 8 + 8 =
  8. 8.123 × 9 + 4 =
  9. 9.11 × 11 =
  10. 10.12345678 × 9 + 9 =
  11. 11.123 × 8 + 3 =
  12. 12.12345679 × 72 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 9 =
  15. 15.11111 × 11111 =
  16. 16.12345679 × 81 =
  17. 17.37 × 27 =
  18. 18.37 × 3 =
  19. 19.12345679 × 36 =
  20. 20.12345679 × 27 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345679 × 45 =
  23. 23.1234 × 9 + 5 =
  24. 24.1234 × 8 + 4 =
  25. 25.37 × 18 =
  26. 26.1111 × 1111 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345 × 9 + 6 =
  29. 29.37 × 21 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 9 =
  32. 32.12 × 9 + 3 =
  33. 33.123456789 × 8 + 9 =
  34. 34.37 × 6 =
  35. 35.11111 × 11111 =
  36. 36.123 × 8 + 3 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 24 =
  39. 39.37 × 18 =
  40. 40.12345679 × 9 =

Answer key

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

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