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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 852 · 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 × 27 =
  2. 2.12345679 × 63 =
  3. 3.37 × 9 =
  4. 4.12 × 9 + 3 =
  5. 5.37 × 21 =
  6. 6.123456 × 8 + 6 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345 × 9 + 6 =
  9. 9.11111 × 11111 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12345679 × 36 =
  12. 12.12345679 × 45 =
  13. 13.12345679 × 81 =
  14. 14.12345679 × 9 =
  15. 15.11 × 11 =
  16. 16.37 × 3 =
  17. 17.37 × 27 =
  18. 18.12345679 × 18 =
  19. 19.123 × 9 + 4 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345679 × 72 =
  22. 22.123456789 × 8 + 9 =
  23. 23.111111 × 111111 =
  24. 24.12345678 × 9 + 9 =
  25. 25.123456 × 9 + 7 =
  26. 26.12345 × 8 + 5 =
  27. 27.12 × 8 + 2 =
  28. 28.37 × 18 =
  29. 29.37 × 6 =
  30. 30.37 × 24 =
  31. 31.1234 × 8 + 4 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 12 =
  34. 34.37 × 15 =
  35. 35.12345679 × 18 =
  36. 36.1234 × 9 + 5 =
  37. 37.111 × 111 =
  38. 38.12345679 × 54 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 72 =

Answer key

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

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