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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 565 · 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. 2.11 × 11 =
  3. 3.12345 × 8 + 5 =
  4. 4.111 × 111 =
  5. 5.12 × 9 + 3 =
  6. 6.12345678 × 9 + 9 =
  7. 7.37 × 15 =
  8. 8.1234 × 9 + 5 =
  9. 9.111111 × 111111 =
  10. 10.11111 × 11111 =
  11. 11.123456 × 8 + 6 =
  12. 12.12345679 × 72 =
  13. 13.12345679 × 63 =
  14. 14.12345679 × 9 =
  15. 15.1111 × 1111 =
  16. 16.12 × 8 + 2 =
  17. 17.12345679 × 18 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345678 × 8 + 8 =
  20. 20.1234 × 8 + 4 =
  21. 21.37 × 24 =
  22. 22.12345679 × 45 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 81 =
  25. 25.12345679 × 54 =
  26. 26.37 × 27 =
  27. 27.1234567 × 9 + 8 =
  28. 28.37 × 18 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 36 =
  31. 31.37 × 21 =
  32. 32.37 × 12 =
  33. 33.37 × 3 =
  34. 34.12345679 × 63 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345679 × 36 =
  37. 37.11111 × 11111 =
  38. 38.123 × 8 + 3 =
  39. 39.37 × 9 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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