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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 433 · 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. 2.11111 × 11111 =
  3. 3.12345679 × 45 =
  4. 4.111 × 111 =
  5. 5.1234 × 9 + 5 =
  6. 6.12 × 8 + 2 =
  7. 7.37 × 27 =
  8. 8.12345 × 8 + 5 =
  9. 9.1234567 × 8 + 7 =
  10. 10.37 × 6 =
  11. 11.12345678 × 8 + 8 =
  12. 12.12345679 × 9 =
  13. 13.37 × 18 =
  14. 14.123456 × 8 + 6 =
  15. 15.123456789 × 8 + 9 =
  16. 16.12345679 × 18 =
  17. 17.37 × 3 =
  18. 18.12345678 × 9 + 9 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345 × 9 + 6 =
  21. 21.12 × 9 + 3 =
  22. 22.37 × 21 =
  23. 23.1234567 × 9 + 8 =
  24. 24.123 × 9 + 4 =
  25. 25.37 × 9 =
  26. 26.11 × 11 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 27 =
  29. 29.12345679 × 54 =
  30. 30.12345679 × 72 =
  31. 31.37 × 12 =
  32. 32.111111 × 111111 =
  33. 33.37 × 24 =
  34. 34.1111 × 1111 =
  35. 35.12345 × 9 + 6 =
  36. 36.12345679 × 63 =
  37. 37.37 × 15 =
  38. 38.11111 × 11111 =
  39. 39.123456 × 9 + 7 =
  40. 40.12345679 × 9 =

Answer key

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

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