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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 954 · 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. 1.1234 × 8 + 4 =
  2. 2.12345679 × 27 =
  3. 3.11 × 11 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12 × 8 + 2 =
  6. 6.12345679 × 9 =
  7. 7.123456 × 9 + 7 =
  8. 8.1234567 × 9 + 8 =
  9. 9.37 × 12 =
  10. 10.37 × 15 =
  11. 11.123456 × 8 + 6 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 36 =
  14. 14.37 × 21 =
  15. 15.111111 × 111111 =
  16. 16.123 × 9 + 4 =
  17. 17.37 × 6 =
  18. 18.12345679 × 72 =
  19. 19.37 × 3 =
  20. 20.12345 × 8 + 5 =
  21. 21.123 × 8 + 3 =
  22. 22.11111 × 11111 =
  23. 23.12 × 9 + 3 =
  24. 24.12345678 × 8 + 8 =
  25. 25.1234 × 9 + 5 =
  26. 26.1234567 × 8 + 7 =
  27. 27.37 × 18 =
  28. 28.12345 × 9 + 6 =
  29. 29.37 × 24 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 81 =
  32. 32.37 × 9 =
  33. 33.111 × 111 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 45 =
  36. 36.12345679 × 18 =
  37. 37.12345679 × 63 =
  38. 38.37 × 27 =
  39. 39.12345679 × 9 =
  40. 40.12345679 × 54 =

Answer key

  1. 9876
  2. 333333333
  3. 121
  4. 111111111
  5. 98
  6. 111111111
  7. 1111111
  8. 11111111
  9. 444
  10. 555
  11. 987654
  12. 1234321
  13. 444444444
  14. 777
  15. 12345654321
  16. 1111
  17. 222
  18. 888888888
  19. 111
  20. 98765
  21. 987
  22. 123454321
  23. 111
  24. 98765432
  25. 11111
  26. 9876543
  27. 666
  28. 111111
  29. 888
  30. 987654321
  31. 999999999
  32. 333
  33. 12321
  34. 9876
  35. 555555555
  36. 222222222
  37. 777777777
  38. 999
  39. 111111111
  40. 666666666

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