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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 535 · 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 × 6 =
  2. 2.37 × 21 =
  3. 3.37 × 12 =
  4. 4.12345679 × 54 =
  5. 5.12345679 × 81 =
  6. 6.12345678 × 8 + 8 =
  7. 7.1234567 × 9 + 8 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 45 =
  10. 10.12 × 9 + 3 =
  11. 11.37 × 9 =
  12. 12.37 × 24 =
  13. 13.1234 × 9 + 5 =
  14. 14.12345 × 9 + 6 =
  15. 15.37 × 18 =
  16. 16.11 × 11 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 63 =
  19. 19.12345679 × 72 =
  20. 20.123 × 8 + 3 =
  21. 21.123456 × 8 + 6 =
  22. 22.123456 × 9 + 7 =
  23. 23.37 × 3 =
  24. 24.123456789 × 8 + 9 =
  25. 25.12345679 × 18 =
  26. 26.1234567 × 8 + 7 =
  27. 27.12345679 × 9 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 36 =
  31. 31.11111 × 11111 =
  32. 32.12345 × 8 + 5 =
  33. 33.111 × 111 =
  34. 34.12 × 8 + 2 =
  35. 35.111111 × 111111 =
  36. 36.37 × 15 =
  37. 37.1111 × 1111 =
  38. 38.37 × 6 =
  39. 39.12345679 × 54 =
  40. 40.111111 × 111111 =

Answer key

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

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