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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 51 · 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. 1.111 × 111 =
  2. 2.1111 × 1111 =
  3. 3.12 × 8 + 2 =
  4. 4.12345 × 8 + 5 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345678 × 9 + 9 =
  7. 7.12345679 × 63 =
  8. 8.37 × 9 =
  9. 9.1234 × 8 + 4 =
  10. 10.12345679 × 18 =
  11. 11.37 × 21 =
  12. 12.12345 × 9 + 6 =
  13. 13.123 × 8 + 3 =
  14. 14.37 × 12 =
  15. 15.37 × 15 =
  16. 16.12 × 9 + 3 =
  17. 17.12345679 × 81 =
  18. 18.12345679 × 9 =
  19. 19.12345679 × 54 =
  20. 20.111111 × 111111 =
  21. 21.37 × 18 =
  22. 22.1234567 × 8 + 7 =
  23. 23.11 × 11 =
  24. 24.123 × 9 + 4 =
  25. 25.11111 × 11111 =
  26. 26.12345679 × 72 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345678 × 8 + 8 =
  29. 29.123456789 × 8 + 9 =
  30. 30.37 × 24 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 27 =
  33. 33.123456 × 8 + 6 =
  34. 34.37 × 6 =
  35. 35.12345679 × 27 =
  36. 36.12345679 × 36 =
  37. 37.123456 × 9 + 7 =
  38. 38.12345678 × 9 + 9 =
  39. 39.37 × 3 =
  40. 40.11111 × 11111 =

Answer key

  1. 12321
  2. 1234321
  3. 98
  4. 98765
  5. 11111111
  6. 111111111
  7. 777777777
  8. 333
  9. 9876
  10. 222222222
  11. 777
  12. 111111
  13. 987
  14. 444
  15. 555
  16. 111
  17. 999999999
  18. 111111111
  19. 666666666
  20. 12345654321
  21. 666
  22. 9876543
  23. 121
  24. 1111
  25. 123454321
  26. 888888888
  27. 11111
  28. 98765432
  29. 987654321
  30. 888
  31. 555555555
  32. 333333333
  33. 987654
  34. 222
  35. 333333333
  36. 444444444
  37. 1111111
  38. 111111111
  39. 111
  40. 123454321

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