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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 963 · 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 × 8 + 4 =
  2. 2.12345 × 8 + 5 =
  3. 3.37 × 27 =
  4. 4.12345679 × 18 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 63 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345679 × 45 =
  9. 9.12345679 × 9 =
  10. 10.123 × 9 + 4 =
  11. 11.12 × 8 + 2 =
  12. 12.12 × 9 + 3 =
  13. 13.1111 × 1111 =
  14. 14.123456 × 9 + 7 =
  15. 15.37 × 24 =
  16. 16.12345679 × 72 =
  17. 17.37 × 9 =
  18. 18.111 × 111 =
  19. 19.11 × 11 =
  20. 20.12345679 × 36 =
  21. 21.12345679 × 27 =
  22. 22.1234567 × 9 + 8 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 6 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345679 × 81 =
  27. 27.123456789 × 8 + 9 =
  28. 28.37 × 3 =
  29. 29.12345678 × 8 + 8 =
  30. 30.37 × 15 =
  31. 31.123 × 8 + 3 =
  32. 32.12345678 × 9 + 9 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 18 =
  35. 35.37 × 12 =
  36. 36.12345679 × 54 =
  37. 37.37 × 21 =
  38. 38.12345679 × 27 =
  39. 39.37 × 9 =
  40. 40.123 × 9 + 4 =

Answer key

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

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