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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 364 · 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. 1.37 × 15 =
  2. 2.1234567 × 8 + 7 =
  3. 3.123456 × 8 + 6 =
  4. 4.12345 × 9 + 6 =
  5. 5.11111 × 11111 =
  6. 6.12345679 × 45 =
  7. 7.12345679 × 36 =
  8. 8.12345679 × 81 =
  9. 9.12345679 × 9 =
  10. 10.37 × 18 =
  11. 11.37 × 6 =
  12. 12.37 × 21 =
  13. 13.12345679 × 72 =
  14. 14.12345678 × 9 + 9 =
  15. 15.37 × 3 =
  16. 16.11 × 11 =
  17. 17.12 × 9 + 3 =
  18. 18.12345 × 8 + 5 =
  19. 19.37 × 9 =
  20. 20.123 × 9 + 4 =
  21. 21.1111 × 1111 =
  22. 22.1234567 × 9 + 8 =
  23. 23.111 × 111 =
  24. 24.37 × 12 =
  25. 25.37 × 24 =
  26. 26.1234 × 8 + 4 =
  27. 27.123 × 8 + 3 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345679 × 27 =
  31. 31.37 × 6 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12 × 8 + 2 =
  35. 35.123456 × 9 + 7 =
  36. 36.1234 × 8 + 4 =
  37. 37.111111 × 111111 =
  38. 38.12345679 × 18 =
  39. 39.12345679 × 54 =
  40. 40.37 × 27 =

Answer key

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

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