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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 27 · 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. 1.11111 × 11111 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12345679 × 72 =
  4. 4.12345679 × 18 =
  5. 5.37 × 24 =
  6. 6.12345679 × 81 =
  7. 7.1234 × 9 + 5 =
  8. 8.111 × 111 =
  9. 9.1234 × 8 + 4 =
  10. 10.12 × 8 + 2 =
  11. 11.111111 × 111111 =
  12. 12.123456 × 8 + 6 =
  13. 13.37 × 6 =
  14. 14.12345679 × 36 =
  15. 15.12345678 × 9 + 9 =
  16. 16.37 × 9 =
  17. 17.123 × 8 + 3 =
  18. 18.37 × 12 =
  19. 19.37 × 15 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345 × 9 + 6 =
  22. 22.12345679 × 54 =
  23. 23.12 × 9 + 3 =
  24. 24.12345679 × 27 =
  25. 25.37 × 21 =
  26. 26.37 × 18 =
  27. 27.12345679 × 9 =
  28. 28.11 × 11 =
  29. 29.12345678 × 8 + 8 =
  30. 30.123 × 9 + 4 =
  31. 31.111 × 111 =
  32. 32.37 × 3 =
  33. 33.37 × 27 =
  34. 34.1111 × 1111 =
  35. 35.12345679 × 63 =
  36. 36.12345 × 8 + 5 =
  37. 37.12345679 × 45 =
  38. 38.123456789 × 8 + 9 =
  39. 39.111 × 111 =
  40. 40.12345678 × 8 + 8 =

Answer key

  1. 123454321
  2. 9876543
  3. 888888888
  4. 222222222
  5. 888
  6. 999999999
  7. 11111
  8. 12321
  9. 9876
  10. 98
  11. 12345654321
  12. 987654
  13. 222
  14. 444444444
  15. 111111111
  16. 333
  17. 987
  18. 444
  19. 555
  20. 11111111
  21. 111111
  22. 666666666
  23. 111
  24. 333333333
  25. 777
  26. 666
  27. 111111111
  28. 121
  29. 98765432
  30. 1111
  31. 12321
  32. 111
  33. 999
  34. 1234321
  35. 777777777
  36. 98765
  37. 555555555
  38. 987654321
  39. 12321
  40. 98765432

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