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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 823 · 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 × 3 =
  2. 2.123 × 9 + 4 =
  3. 3.111111 × 111111 =
  4. 4.12345678 × 8 + 8 =
  5. 5.1234 × 9 + 5 =
  6. 6.37 × 15 =
  7. 7.37 × 6 =
  8. 8.12345 × 8 + 5 =
  9. 9.12345679 × 27 =
  10. 10.1234 × 8 + 4 =
  11. 11.12 × 9 + 3 =
  12. 12.37 × 9 =
  13. 13.12345679 × 18 =
  14. 14.12345679 × 45 =
  15. 15.37 × 21 =
  16. 16.11111 × 11111 =
  17. 17.12345679 × 63 =
  18. 18.12345679 × 72 =
  19. 19.11 × 11 =
  20. 20.12345679 × 54 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345 × 9 + 6 =
  23. 23.1234567 × 9 + 8 =
  24. 24.111 × 111 =
  25. 25.12345679 × 36 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12 × 8 + 2 =
  28. 28.123456 × 8 + 6 =
  29. 29.1111 × 1111 =
  30. 30.37 × 18 =
  31. 31.37 × 24 =
  32. 32.37 × 12 =
  33. 33.1234567 × 8 + 7 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345679 × 9 =
  36. 36.123 × 9 + 4 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12345679 × 45 =
  39. 39.123 × 8 + 3 =
  40. 40.37 × 21 =

Answer key

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

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