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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 956 · 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 × 24 =
  2. 2.111111 × 111111 =
  3. 3.37 × 21 =
  4. 4.123456 × 8 + 6 =
  5. 5.12345679 × 9 =
  6. 6.12345 × 8 + 5 =
  7. 7.123 × 8 + 3 =
  8. 8.12345679 × 27 =
  9. 9.1111 × 1111 =
  10. 10.37 × 9 =
  11. 11.1234 × 9 + 5 =
  12. 12.12345679 × 18 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 54 =
  15. 15.37 × 6 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12345678 × 8 + 8 =
  18. 18.12345679 × 36 =
  19. 19.37 × 12 =
  20. 20.12345679 × 63 =
  21. 21.12345679 × 45 =
  22. 22.111 × 111 =
  23. 23.37 × 27 =
  24. 24.12 × 8 + 2 =
  25. 25.11 × 11 =
  26. 26.37 × 15 =
  27. 27.1234567 × 9 + 8 =
  28. 28.123 × 9 + 4 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12345 × 9 + 6 =
  31. 31.37 × 18 =
  32. 32.12345678 × 9 + 9 =
  33. 33.123456 × 8 + 6 =
  34. 34.1234 × 8 + 4 =
  35. 35.37 × 3 =
  36. 36.12345679 × 72 =
  37. 37.11111 × 11111 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 81 =
  40. 40.12 × 9 + 3 =

Answer key

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

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