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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 403 · 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 × 45 =
  3. 3.12345679 × 27 =
  4. 4.1111 × 1111 =
  5. 5.1234567 × 8 + 7 =
  6. 6.12345 × 9 + 6 =
  7. 7.37 × 6 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12345 × 8 + 5 =
  10. 10.12345679 × 36 =
  11. 11.12345679 × 81 =
  12. 12.11111 × 11111 =
  13. 13.12345678 × 8 + 8 =
  14. 14.111 × 111 =
  15. 15.37 × 27 =
  16. 16.37 × 9 =
  17. 17.12345679 × 9 =
  18. 18.37 × 12 =
  19. 19.111111 × 111111 =
  20. 20.1234 × 9 + 5 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12 × 9 + 3 =
  23. 23.12 × 8 + 2 =
  24. 24.123456789 × 8 + 9 =
  25. 25.11 × 11 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 18 =
  28. 28.12345679 × 63 =
  29. 29.37 × 18 =
  30. 30.12345679 × 54 =
  31. 31.123 × 8 + 3 =
  32. 32.12345 × 8 + 5 =
  33. 33.37 × 3 =
  34. 34.123456 × 8 + 6 =
  35. 35.123 × 9 + 4 =
  36. 36.37 × 15 =
  37. 37.37 × 24 =
  38. 38.1234 × 8 + 4 =
  39. 39.11111 × 11111 =
  40. 40.12345679 × 36 =

Answer key

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

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