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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 937 · 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. 1.1234567 × 9 + 8 =
  2. 2.12345679 × 9 =
  3. 3.11 × 11 =
  4. 4.37 × 6 =
  5. 5.12345 × 8 + 5 =
  6. 6.1111 × 1111 =
  7. 7.12345679 × 36 =
  8. 8.37 × 9 =
  9. 9.12345679 × 27 =
  10. 10.12 × 8 + 2 =
  11. 11.111 × 111 =
  12. 12.11111 × 11111 =
  13. 13.111111 × 111111 =
  14. 14.37 × 15 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 18 =
  17. 17.1234 × 8 + 4 =
  18. 18.12345679 × 81 =
  19. 19.1234 × 9 + 5 =
  20. 20.123 × 9 + 4 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12345679 × 54 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12345679 × 18 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 63 =
  27. 27.37 × 12 =
  28. 28.37 × 3 =
  29. 29.1234567 × 8 + 7 =
  30. 30.12 × 9 + 3 =
  31. 31.37 × 24 =
  32. 32.12345 × 9 + 6 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345679 × 45 =
  35. 35.11111 × 11111 =
  36. 36.37 × 21 =
  37. 37.37 × 27 =
  38. 38.12345679 × 54 =
  39. 39.1111 × 1111 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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