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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 769 · 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. 2.37 × 3 =
  3. 3.1234567 × 9 + 8 =
  4. 4.123 × 8 + 3 =
  5. 5.12 × 8 + 2 =
  6. 6.123456 × 8 + 6 =
  7. 7.1234 × 8 + 4 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 12 =
  10. 10.1234 × 9 + 5 =
  11. 11.111 × 111 =
  12. 12.12345678 × 8 + 8 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 54 =
  15. 15.1111 × 1111 =
  16. 16.12345679 × 27 =
  17. 17.12345679 × 81 =
  18. 18.37 × 24 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 9 =
  21. 21.37 × 27 =
  22. 22.12345679 × 63 =
  23. 23.12345679 × 72 =
  24. 24.11 × 11 =
  25. 25.111111 × 111111 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 45 =
  28. 28.12345 × 9 + 6 =
  29. 29.123456 × 9 + 7 =
  30. 30.37 × 21 =
  31. 31.12345679 × 18 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 9 =
  34. 34.111 × 111 =
  35. 35.12345679 × 36 =
  36. 36.12345 × 8 + 5 =
  37. 37.11111 × 11111 =
  38. 38.37 × 18 =
  39. 39.37 × 15 =
  40. 40.12345679 × 9 =

Answer key

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

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