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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 906 · 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 × 45 =
  2. 2.11 × 11 =
  3. 3.111111 × 111111 =
  4. 4.37 × 12 =
  5. 5.37 × 27 =
  6. 6.37 × 15 =
  7. 7.12345679 × 36 =
  8. 8.12345679 × 81 =
  9. 9.12 × 9 + 3 =
  10. 10.37 × 9 =
  11. 11.11111 × 11111 =
  12. 12.12345679 × 9 =
  13. 13.1111 × 1111 =
  14. 14.12 × 8 + 2 =
  15. 15.37 × 24 =
  16. 16.12345679 × 18 =
  17. 17.37 × 3 =
  18. 18.12345 × 8 + 5 =
  19. 19.12345679 × 63 =
  20. 20.37 × 18 =
  21. 21.123 × 8 + 3 =
  22. 22.12345678 × 8 + 8 =
  23. 23.111 × 111 =
  24. 24.12345 × 9 + 6 =
  25. 25.12345679 × 72 =
  26. 26.123456 × 9 + 7 =
  27. 27.12345679 × 54 =
  28. 28.1234567 × 9 + 8 =
  29. 29.123 × 9 + 4 =
  30. 30.12345678 × 9 + 9 =
  31. 31.37 × 21 =
  32. 32.1234 × 9 + 5 =
  33. 33.12345679 × 27 =
  34. 34.12 × 8 + 2 =
  35. 35.37 × 6 =
  36. 36.123456 × 8 + 6 =
  37. 37.1234 × 8 + 4 =
  38. 38.123456789 × 8 + 9 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345679 × 27 =

Answer key

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

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