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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 944 · 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. 1.12 × 9 + 3 =
  2. 2.12 × 8 + 2 =
  3. 3.11111 × 11111 =
  4. 4.12345679 × 54 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345679 × 45 =
  7. 7.111 × 111 =
  8. 8.123 × 9 + 4 =
  9. 9.123456 × 9 + 7 =
  10. 10.12345679 × 81 =
  11. 11.12345679 × 9 =
  12. 12.1111 × 1111 =
  13. 13.37 × 9 =
  14. 14.12345679 × 36 =
  15. 15.12345679 × 72 =
  16. 16.37 × 15 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 3 =
  19. 19.11 × 11 =
  20. 20.37 × 24 =
  21. 21.123456 × 8 + 6 =
  22. 22.1234 × 9 + 5 =
  23. 23.1234567 × 8 + 7 =
  24. 24.12345679 × 63 =
  25. 25.37 × 18 =
  26. 26.123456789 × 8 + 9 =
  27. 27.111111 × 111111 =
  28. 28.1234 × 8 + 4 =
  29. 29.37 × 12 =
  30. 30.37 × 6 =
  31. 31.12345 × 8 + 5 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 21 =
  34. 34.12345679 × 18 =
  35. 35.12 × 8 + 2 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345679 × 27 =
  38. 38.123 × 8 + 3 =
  39. 39.37 × 12 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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