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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 950 · 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 × 54 =
  2. 2.1234 × 9 + 5 =
  3. 3.37 × 6 =
  4. 4.111111 × 111111 =
  5. 5.1234567 × 9 + 8 =
  6. 6.37 × 21 =
  7. 7.37 × 3 =
  8. 8.11 × 11 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 63 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 27 =
  13. 13.12345679 × 45 =
  14. 14.37 × 24 =
  15. 15.111 × 111 =
  16. 16.123456 × 8 + 6 =
  17. 17.37 × 18 =
  18. 18.12345 × 8 + 5 =
  19. 19.12345679 × 18 =
  20. 20.12345679 × 72 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 9 =
  24. 24.12345679 × 81 =
  25. 25.1234 × 8 + 4 =
  26. 26.37 × 12 =
  27. 27.37 × 15 =
  28. 28.12 × 8 + 2 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12345679 × 36 =
  31. 31.37 × 27 =
  32. 32.11111 × 11111 =
  33. 33.12 × 9 + 3 =
  34. 34.1111 × 1111 =
  35. 35.37 × 15 =
  36. 36.1234567 × 8 + 7 =
  37. 37.123 × 8 + 3 =
  38. 38.11 × 11 =
  39. 39.12 × 9 + 3 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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