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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 434 · 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 × 9 + 4 =
  2. 2.111 × 111 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 54 =
  5. 5.12 × 9 + 3 =
  6. 6.12345679 × 36 =
  7. 7.12345679 × 63 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 72 =
  10. 10.12345679 × 81 =
  11. 11.12345678 × 8 + 8 =
  12. 12.11 × 11 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345 × 9 + 6 =
  15. 15.37 × 15 =
  16. 16.1234567 × 8 + 7 =
  17. 17.12345679 × 9 =
  18. 18.37 × 18 =
  19. 19.37 × 12 =
  20. 20.1234 × 9 + 5 =
  21. 21.123456 × 8 + 6 =
  22. 22.37 × 3 =
  23. 23.123456789 × 8 + 9 =
  24. 24.123456 × 9 + 7 =
  25. 25.37 × 27 =
  26. 26.12345679 × 27 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345 × 8 + 5 =
  29. 29.37 × 9 =
  30. 30.12 × 8 + 2 =
  31. 31.37 × 6 =
  32. 32.111111 × 111111 =
  33. 33.123 × 8 + 3 =
  34. 34.12345679 × 18 =
  35. 35.11111 × 11111 =
  36. 36.12345679 × 45 =
  37. 37.111 × 111 =
  38. 38.12345679 × 72 =
  39. 39.12345679 × 45 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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