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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 990 · 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 × 72 =
  2. 2.12345 × 8 + 5 =
  3. 3.111 × 111 =
  4. 4.12345679 × 18 =
  5. 5.37 × 3 =
  6. 6.111111 × 111111 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345 × 9 + 6 =
  9. 9.1234 × 8 + 4 =
  10. 10.11111 × 11111 =
  11. 11.37 × 21 =
  12. 12.37 × 27 =
  13. 13.12345679 × 63 =
  14. 14.11 × 11 =
  15. 15.1111 × 1111 =
  16. 16.37 × 15 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345679 × 45 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345678 × 8 + 8 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 12 =
  23. 23.12 × 9 + 3 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 9 =
  26. 26.12 × 8 + 2 =
  27. 27.12345678 × 9 + 9 =
  28. 28.1234 × 9 + 5 =
  29. 29.1234567 × 8 + 7 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 9 =
  32. 32.12345679 × 36 =
  33. 33.37 × 24 =
  34. 34.37 × 6 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 81 =
  37. 37.111111 × 111111 =
  38. 38.12345679 × 63 =
  39. 39.37 × 18 =
  40. 40.11111 × 11111 =

Answer key

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

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