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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 795 · 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. 1.123456 × 9 + 7 =
  2. 2.12345679 × 18 =
  3. 3.1234 × 9 + 5 =
  4. 4.123456 × 8 + 6 =
  5. 5.11111 × 11111 =
  6. 6.11 × 11 =
  7. 7.37 × 21 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345679 × 9 =
  10. 10.12345 × 9 + 6 =
  11. 11.123456789 × 8 + 9 =
  12. 12.37 × 12 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12 × 9 + 3 =
  15. 15.12345679 × 81 =
  16. 16.37 × 15 =
  17. 17.12345679 × 45 =
  18. 18.37 × 24 =
  19. 19.12345 × 8 + 5 =
  20. 20.37 × 3 =
  21. 21.111 × 111 =
  22. 22.12345679 × 27 =
  23. 23.123 × 8 + 3 =
  24. 24.12345679 × 36 =
  25. 25.12345679 × 54 =
  26. 26.12345679 × 72 =
  27. 27.123 × 9 + 4 =
  28. 28.1234567 × 9 + 8 =
  29. 29.37 × 6 =
  30. 30.37 × 9 =
  31. 31.111111 × 111111 =
  32. 32.1111 × 1111 =
  33. 33.37 × 27 =
  34. 34.12345678 × 9 + 9 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12 × 9 + 3 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 18 =
  40. 40.12345679 × 63 =

Answer key

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

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