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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 971 · 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. 1.12345679 × 72 =
  2. 2.12 × 9 + 3 =
  3. 3.12345 × 8 + 5 =
  4. 4.123456 × 9 + 7 =
  5. 5.12345679 × 81 =
  6. 6.37 × 24 =
  7. 7.111111 × 111111 =
  8. 8.12345679 × 18 =
  9. 9.37 × 3 =
  10. 10.12 × 8 + 2 =
  11. 11.1234 × 9 + 5 =
  12. 12.12345679 × 63 =
  13. 13.37 × 27 =
  14. 14.1111 × 1111 =
  15. 15.123 × 9 + 4 =
  16. 16.12345679 × 27 =
  17. 17.111 × 111 =
  18. 18.11111 × 11111 =
  19. 19.12345679 × 54 =
  20. 20.37 × 9 =
  21. 21.12345679 × 9 =
  22. 22.12345679 × 45 =
  23. 23.12345 × 9 + 6 =
  24. 24.1234567 × 8 + 7 =
  25. 25.11 × 11 =
  26. 26.37 × 12 =
  27. 27.123 × 8 + 3 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 9 =
  30. 30.37 × 15 =
  31. 31.1234567 × 9 + 8 =
  32. 32.37 × 6 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 36 =
  35. 35.123 × 8 + 3 =
  36. 36.37 × 21 =
  37. 37.123456 × 8 + 6 =
  38. 38.123 × 9 + 4 =
  39. 39.12345678 × 8 + 8 =
  40. 40.37 × 18 =

Answer key

  1. 888888888
  2. 111
  3. 98765
  4. 1111111
  5. 999999999
  6. 888
  7. 12345654321
  8. 222222222
  9. 111
  10. 98
  11. 11111
  12. 777777777
  13. 999
  14. 1234321
  15. 1111
  16. 333333333
  17. 12321
  18. 123454321
  19. 666666666
  20. 333
  21. 111111111
  22. 555555555
  23. 111111
  24. 9876543
  25. 121
  26. 444
  27. 987
  28. 111111111
  29. 333
  30. 555
  31. 11111111
  32. 222
  33. 9876
  34. 444444444
  35. 987
  36. 777
  37. 987654
  38. 1111
  39. 98765432
  40. 666

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