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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 621 · 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. 1.12345 × 8 + 5 =
  2. 2.11111 × 11111 =
  3. 3.11 × 11 =
  4. 4.111 × 111 =
  5. 5.1111 × 1111 =
  6. 6.123456 × 8 + 6 =
  7. 7.1234567 × 8 + 7 =
  8. 8.1234 × 9 + 5 =
  9. 9.12345678 × 9 + 9 =
  10. 10.1234567 × 9 + 8 =
  11. 11.123456 × 9 + 7 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 12 =
  14. 14.12345679 × 63 =
  15. 15.37 × 6 =
  16. 16.37 × 21 =
  17. 17.12345679 × 9 =
  18. 18.37 × 9 =
  19. 19.37 × 3 =
  20. 20.12345679 × 81 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 54 =
  23. 23.12345679 × 72 =
  24. 24.123 × 8 + 3 =
  25. 25.12345679 × 18 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 27 =
  28. 28.12345679 × 36 =
  29. 29.12345679 × 45 =
  30. 30.12 × 9 + 3 =
  31. 31.1234 × 8 + 4 =
  32. 32.12 × 8 + 2 =
  33. 33.12 × 9 + 3 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 27 =
  37. 37.37 × 15 =
  38. 38.37 × 18 =
  39. 39.37 × 9 =
  40. 40.37 × 24 =

Answer key

  1. 98765
  2. 123454321
  3. 121
  4. 12321
  5. 1234321
  6. 987654
  7. 9876543
  8. 11111
  9. 111111111
  10. 11111111
  11. 1111111
  12. 111111
  13. 444
  14. 777777777
  15. 222
  16. 777
  17. 111111111
  18. 333
  19. 111
  20. 999999999
  21. 1111
  22. 666666666
  23. 888888888
  24. 987
  25. 222222222
  26. 12345654321
  27. 333333333
  28. 444444444
  29. 555555555
  30. 111
  31. 9876
  32. 98
  33. 111
  34. 987654321
  35. 98765432
  36. 999
  37. 555
  38. 666
  39. 333
  40. 888

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