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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 802 · 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. 2.1234 × 8 + 4 =
  3. 3.37 × 9 =
  4. 4.12345679 × 9 =
  5. 5.12345679 × 81 =
  6. 6.123 × 9 + 4 =
  7. 7.37 × 24 =
  8. 8.12 × 9 + 3 =
  9. 9.12345 × 9 + 6 =
  10. 10.12345679 × 72 =
  11. 11.37 × 21 =
  12. 12.1234 × 9 + 5 =
  13. 13.123456 × 9 + 7 =
  14. 14.12345679 × 63 =
  15. 15.37 × 6 =
  16. 16.12345679 × 54 =
  17. 17.37 × 18 =
  18. 18.11 × 11 =
  19. 19.12345678 × 9 + 9 =
  20. 20.1234567 × 8 + 7 =
  21. 21.37 × 12 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12 × 8 + 2 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 27 =
  27. 27.11111 × 11111 =
  28. 28.123456 × 8 + 6 =
  29. 29.37 × 15 =
  30. 30.123456789 × 8 + 9 =
  31. 31.1111 × 1111 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 36 =
  34. 34.12345679 × 45 =
  35. 35.111 × 111 =
  36. 36.12345 × 8 + 5 =
  37. 37.123 × 8 + 3 =
  38. 38.37 × 6 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 36 =

Answer key

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

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