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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 887 · 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 × 15 =
  2. 2.37 × 3 =
  3. 3.12 × 9 + 3 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 81 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345679 × 54 =
  8. 8.11 × 11 =
  9. 9.12345679 × 9 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345679 × 18 =
  12. 12.1234 × 8 + 4 =
  13. 13.123 × 8 + 3 =
  14. 14.1234567 × 8 + 7 =
  15. 15.123456 × 8 + 6 =
  16. 16.37 × 18 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 63 =
  19. 19.12345679 × 36 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 45 =
  22. 22.37 × 21 =
  23. 23.37 × 12 =
  24. 24.1234 × 9 + 5 =
  25. 25.123456 × 9 + 7 =
  26. 26.37 × 24 =
  27. 27.111 × 111 =
  28. 28.37 × 9 =
  29. 29.12345679 × 27 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12 × 8 + 2 =
  32. 32.111111 × 111111 =
  33. 33.12345678 × 8 + 8 =
  34. 34.37 × 18 =
  35. 35.12345679 × 72 =
  36. 36.1111 × 1111 =
  37. 37.111 × 111 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 27 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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