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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 896 · 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 × 9 + 5 =
  2. 2.37 × 24 =
  3. 3.37 × 21 =
  4. 4.12345679 × 9 =
  5. 5.12345679 × 81 =
  6. 6.12345678 × 9 + 9 =
  7. 7.111111 × 111111 =
  8. 8.37 × 18 =
  9. 9.12345679 × 45 =
  10. 10.12345679 × 18 =
  11. 11.1234 × 8 + 4 =
  12. 12.37 × 27 =
  13. 13.123456789 × 8 + 9 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12 × 9 + 3 =
  16. 16.11111 × 11111 =
  17. 17.12345 × 9 + 6 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12345679 × 27 =
  20. 20.11 × 11 =
  21. 21.12345679 × 63 =
  22. 22.37 × 9 =
  23. 23.12345 × 8 + 5 =
  24. 24.111 × 111 =
  25. 25.12 × 8 + 2 =
  26. 26.123 × 8 + 3 =
  27. 27.37 × 3 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 15 =
  30. 30.1111 × 1111 =
  31. 31.123456 × 9 + 7 =
  32. 32.12345679 × 72 =
  33. 33.37 × 12 =
  34. 34.37 × 6 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 9 =
  37. 37.12345678 × 8 + 8 =
  38. 38.12345679 × 36 =
  39. 39.123456 × 8 + 6 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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