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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 491 · 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. 1.12345679 × 18 =
  2. 2.11111 × 11111 =
  3. 3.1111 × 1111 =
  4. 4.37 × 9 =
  5. 5.111 × 111 =
  6. 6.37 × 3 =
  7. 7.37 × 21 =
  8. 8.123 × 9 + 4 =
  9. 9.37 × 27 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345679 × 54 =
  12. 12.1234 × 9 + 5 =
  13. 13.123 × 8 + 3 =
  14. 14.12345679 × 27 =
  15. 15.37 × 18 =
  16. 16.12 × 9 + 3 =
  17. 17.12345678 × 9 + 9 =
  18. 18.37 × 15 =
  19. 19.37 × 6 =
  20. 20.12345679 × 9 =
  21. 21.12345679 × 81 =
  22. 22.11 × 11 =
  23. 23.12345678 × 8 + 8 =
  24. 24.1234567 × 9 + 8 =
  25. 25.37 × 24 =
  26. 26.37 × 12 =
  27. 27.123456 × 9 + 7 =
  28. 28.12345679 × 45 =
  29. 29.12345 × 9 + 6 =
  30. 30.1234 × 8 + 4 =
  31. 31.12345 × 8 + 5 =
  32. 32.111111 × 111111 =
  33. 33.12345679 × 36 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345679 × 63 =
  36. 36.12 × 8 + 2 =
  37. 37.12345679 × 72 =
  38. 38.123456 × 8 + 6 =
  39. 39.11111 × 11111 =
  40. 40.12345679 × 36 =

Answer key

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

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