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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 819 · 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. 2.123456 × 8 + 6 =
  3. 3.37 × 18 =
  4. 4.12345679 × 81 =
  5. 5.11111 × 11111 =
  6. 6.111111 × 111111 =
  7. 7.12 × 9 + 3 =
  8. 8.11 × 11 =
  9. 9.12345679 × 27 =
  10. 10.37 × 27 =
  11. 11.1234 × 9 + 5 =
  12. 12.1111 × 1111 =
  13. 13.12345678 × 9 + 9 =
  14. 14.111 × 111 =
  15. 15.37 × 6 =
  16. 16.12 × 8 + 2 =
  17. 17.12345679 × 63 =
  18. 18.37 × 12 =
  19. 19.123 × 8 + 3 =
  20. 20.12345679 × 36 =
  21. 21.1234567 × 8 + 7 =
  22. 22.12345679 × 45 =
  23. 23.12345679 × 54 =
  24. 24.37 × 21 =
  25. 25.12345679 × 9 =
  26. 26.12345679 × 18 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345 × 8 + 5 =
  29. 29.37 × 15 =
  30. 30.37 × 24 =
  31. 31.123 × 9 + 4 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345679 × 72 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345 × 9 + 6 =
  36. 36.37 × 9 =
  37. 37.11111 × 11111 =
  38. 38.12 × 8 + 2 =
  39. 39.1234567 × 9 + 8 =
  40. 40.37 × 3 =

Answer key

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

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