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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 783 · 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. 1.12345678 × 8 + 8 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 45 =
  4. 4.37 × 21 =
  5. 5.11111 × 11111 =
  6. 6.37 × 6 =
  7. 7.12345679 × 9 =
  8. 8.12 × 9 + 3 =
  9. 9.12345 × 8 + 5 =
  10. 10.12345 × 9 + 6 =
  11. 11.12345679 × 54 =
  12. 12.37 × 3 =
  13. 13.123 × 8 + 3 =
  14. 14.37 × 24 =
  15. 15.11 × 11 =
  16. 16.37 × 9 =
  17. 17.111 × 111 =
  18. 18.37 × 15 =
  19. 19.1234567 × 8 + 7 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 12 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345679 × 27 =
  24. 24.111111 × 111111 =
  25. 25.12 × 8 + 2 =
  26. 26.12345679 × 18 =
  27. 27.123456 × 8 + 6 =
  28. 28.12345678 × 9 + 9 =
  29. 29.12345679 × 63 =
  30. 30.1234 × 8 + 4 =
  31. 31.123456 × 9 + 7 =
  32. 32.123456789 × 8 + 9 =
  33. 33.12345 × 8 + 5 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 81 =
  37. 37.12345679 × 72 =
  38. 38.37 × 18 =
  39. 39.12345679 × 36 =
  40. 40.37 × 27 =

Answer key

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

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