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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 799 · 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. 1.12345679 × 63 =
  2. 2.37 × 3 =
  3. 3.111 × 111 =
  4. 4.1234 × 8 + 4 =
  5. 5.12345678 × 9 + 9 =
  6. 6.11 × 11 =
  7. 7.12345679 × 9 =
  8. 8.123456 × 8 + 6 =
  9. 9.37 × 18 =
  10. 10.12345679 × 81 =
  11. 11.12345679 × 72 =
  12. 12.111111 × 111111 =
  13. 13.37 × 9 =
  14. 14.123456 × 9 + 7 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 27 =
  17. 17.37 × 21 =
  18. 18.1111 × 1111 =
  19. 19.12345679 × 36 =
  20. 20.123 × 9 + 4 =
  21. 21.12345678 × 8 + 8 =
  22. 22.12 × 9 + 3 =
  23. 23.11111 × 11111 =
  24. 24.12345679 × 54 =
  25. 25.12345679 × 45 =
  26. 26.1234 × 9 + 5 =
  27. 27.12 × 8 + 2 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 18 =
  30. 30.37 × 6 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 24 =
  33. 33.12345679 × 18 =
  34. 34.37 × 12 =
  35. 35.123 × 8 + 3 =
  36. 36.12345 × 9 + 6 =
  37. 37.123 × 9 + 4 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 63 =

Answer key

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

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