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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 844 · 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 × 18 =
  3. 3.12345679 × 81 =
  4. 4.37 × 3 =
  5. 5.37 × 9 =
  6. 6.111111 × 111111 =
  7. 7.12345678 × 9 + 9 =
  8. 8.37 × 24 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12 × 8 + 2 =
  11. 11.12345679 × 54 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345679 × 18 =
  14. 14.12345 × 8 + 5 =
  15. 15.37 × 6 =
  16. 16.1234 × 8 + 4 =
  17. 17.37 × 15 =
  18. 18.11 × 11 =
  19. 19.12345679 × 36 =
  20. 20.1234 × 9 + 5 =
  21. 21.37 × 27 =
  22. 22.123456 × 9 + 7 =
  23. 23.11111 × 11111 =
  24. 24.12345679 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12345 × 9 + 6 =
  27. 27.1111 × 1111 =
  28. 28.12345679 × 9 =
  29. 29.123 × 9 + 4 =
  30. 30.123 × 8 + 3 =
  31. 31.12345679 × 72 =
  32. 32.37 × 12 =
  33. 33.37 × 21 =
  34. 34.111 × 111 =
  35. 35.12345679 × 45 =
  36. 36.12 × 9 + 3 =
  37. 37.37 × 15 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345678 × 9 + 9 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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