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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 303 · 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 × 63 =
  3. 3.12345679 × 27 =
  4. 4.11111 × 11111 =
  5. 5.11 × 11 =
  6. 6.1234 × 8 + 4 =
  7. 7.1234 × 9 + 5 =
  8. 8.111 × 111 =
  9. 9.12345679 × 9 =
  10. 10.12345 × 9 + 6 =
  11. 11.1111 × 1111 =
  12. 12.37 × 9 =
  13. 13.12 × 8 + 2 =
  14. 14.12345679 × 72 =
  15. 15.111111 × 111111 =
  16. 16.37 × 3 =
  17. 17.1234567 × 8 + 7 =
  18. 18.12345679 × 54 =
  19. 19.12345679 × 18 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 15 =
  22. 22.12345679 × 36 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 27 =
  25. 25.37 × 24 =
  26. 26.12345679 × 45 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345679 × 81 =
  29. 29.12345679 × 81 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 12 =
  32. 32.37 × 6 =
  33. 33.123 × 8 + 3 =
  34. 34.1234567 × 9 + 8 =
  35. 35.12 × 9 + 3 =
  36. 36.37 × 24 =
  37. 37.123456 × 8 + 6 =
  38. 38.12345678 × 9 + 9 =
  39. 39.37 × 21 =
  40. 40.12345679 × 63 =

Answer key

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

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