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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 793 · 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 × 9 =
  2. 2.12345 × 9 + 6 =
  3. 3.123 × 9 + 4 =
  4. 4.1234 × 8 + 4 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 72 =
  7. 7.12345679 × 63 =
  8. 8.123456 × 9 + 7 =
  9. 9.11111 × 11111 =
  10. 10.12345679 × 45 =
  11. 11.12345679 × 18 =
  12. 12.37 × 24 =
  13. 13.12 × 9 + 3 =
  14. 14.12345678 × 8 + 8 =
  15. 15.12345679 × 36 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12345678 × 9 + 9 =
  18. 18.111 × 111 =
  19. 19.37 × 6 =
  20. 20.12345679 × 81 =
  21. 21.12 × 8 + 2 =
  22. 22.11 × 11 =
  23. 23.1234 × 9 + 5 =
  24. 24.123 × 8 + 3 =
  25. 25.111111 × 111111 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345679 × 27 =
  28. 28.37 × 27 =
  29. 29.12345679 × 9 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 15 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 18 =
  34. 34.37 × 12 =
  35. 35.12345679 × 54 =
  36. 36.37 × 3 =
  37. 37.12345679 × 9 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345679 × 63 =
  40. 40.11 × 11 =

Answer key

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

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