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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 904 · 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. 1.123 × 8 + 3 =
  2. 2.12345679 × 54 =
  3. 3.12345679 × 36 =
  4. 4.37 × 9 =
  5. 5.123456 × 8 + 6 =
  6. 6.1111 × 1111 =
  7. 7.37 × 6 =
  8. 8.12 × 8 + 2 =
  9. 9.12345 × 8 + 5 =
  10. 10.1234 × 9 + 5 =
  11. 11.11111 × 11111 =
  12. 12.123 × 9 + 4 =
  13. 13.111111 × 111111 =
  14. 14.11 × 11 =
  15. 15.123456 × 9 + 7 =
  16. 16.12 × 9 + 3 =
  17. 17.37 × 15 =
  18. 18.12345679 × 45 =
  19. 19.12345 × 9 + 6 =
  20. 20.111 × 111 =
  21. 21.12345679 × 9 =
  22. 22.37 × 12 =
  23. 23.12345679 × 81 =
  24. 24.12345679 × 18 =
  25. 25.37 × 21 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 18 =
  28. 28.37 × 24 =
  29. 29.37 × 3 =
  30. 30.12345679 × 63 =
  31. 31.12345679 × 27 =
  32. 32.12345678 × 8 + 8 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12345679 × 9 =
  35. 35.123 × 9 + 4 =
  36. 36.12345679 × 18 =
  37. 37.123456 × 9 + 7 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 9 =
  40. 40.37 × 27 =

Answer key

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

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