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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 905 · 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 × 21 =
  2. 2.12345679 × 63 =
  3. 3.12345679 × 9 =
  4. 4.12345679 × 54 =
  5. 5.11 × 11 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12345679 × 45 =
  8. 8.1111 × 1111 =
  9. 9.1234 × 8 + 4 =
  10. 10.37 × 9 =
  11. 11.37 × 15 =
  12. 12.37 × 12 =
  13. 13.37 × 27 =
  14. 14.12345679 × 81 =
  15. 15.123 × 9 + 4 =
  16. 16.111 × 111 =
  17. 17.37 × 3 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345679 × 36 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 18 =
  22. 22.12 × 8 + 2 =
  23. 23.12345 × 9 + 6 =
  24. 24.12 × 9 + 3 =
  25. 25.37 × 6 =
  26. 26.11111 × 11111 =
  27. 27.1234567 × 9 + 8 =
  28. 28.1234 × 9 + 5 =
  29. 29.111111 × 111111 =
  30. 30.12345679 × 72 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345678 × 9 + 9 =
  33. 33.123456789 × 8 + 9 =
  34. 34.37 × 6 =
  35. 35.12345 × 8 + 5 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 9 =
  38. 38.12345679 × 72 =
  39. 39.37 × 24 =
  40. 40.11 × 11 =

Answer key

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

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