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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 851 · 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. 1.1111 × 1111 =
  2. 2.12345679 × 81 =
  3. 3.37 × 18 =
  4. 4.12345679 × 54 =
  5. 5.123456789 × 8 + 9 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12 × 8 + 2 =
  8. 8.37 × 21 =
  9. 9.37 × 27 =
  10. 10.12345679 × 27 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345678 × 9 + 9 =
  13. 13.1234 × 8 + 4 =
  14. 14.123456 × 8 + 6 =
  15. 15.12345 × 8 + 5 =
  16. 16.37 × 9 =
  17. 17.12345679 × 45 =
  18. 18.37 × 6 =
  19. 19.37 × 3 =
  20. 20.12345679 × 63 =
  21. 21.11111 × 11111 =
  22. 22.12345 × 9 + 6 =
  23. 23.1234567 × 8 + 7 =
  24. 24.123 × 9 + 4 =
  25. 25.12 × 9 + 3 =
  26. 26.11 × 11 =
  27. 27.37 × 15 =
  28. 28.111 × 111 =
  29. 29.12345679 × 9 =
  30. 30.12345679 × 36 =
  31. 31.37 × 24 =
  32. 32.1234 × 9 + 5 =
  33. 33.123 × 8 + 3 =
  34. 34.12345679 × 72 =
  35. 35.12345679 × 18 =
  36. 36.37 × 12 =
  37. 37.1234567 × 9 + 8 =
  38. 38.11 × 11 =
  39. 39.111111 × 111111 =
  40. 40.37 × 15 =

Answer key

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

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