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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 485 · 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 × 6 =
  2. 2.12 × 8 + 2 =
  3. 3.11111 × 11111 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12345679 × 9 =
  6. 6.11 × 11 =
  7. 7.12345 × 8 + 5 =
  8. 8.37 × 3 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 27 =
  11. 11.123 × 9 + 4 =
  12. 12.12 × 9 + 3 =
  13. 13.123 × 8 + 3 =
  14. 14.37 × 9 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345678 × 9 + 9 =
  17. 17.37 × 24 =
  18. 18.12345679 × 18 =
  19. 19.12345679 × 45 =
  20. 20.12345 × 9 + 6 =
  21. 21.12345679 × 72 =
  22. 22.37 × 18 =
  23. 23.111111 × 111111 =
  24. 24.1234 × 9 + 5 =
  25. 25.123456 × 9 + 7 =
  26. 26.37 × 21 =
  27. 27.37 × 15 =
  28. 28.12345678 × 8 + 8 =
  29. 29.1234567 × 9 + 8 =
  30. 30.1234567 × 8 + 7 =
  31. 31.37 × 27 =
  32. 32.37 × 12 =
  33. 33.12345679 × 36 =
  34. 34.111 × 111 =
  35. 35.123456 × 8 + 6 =
  36. 36.111 × 111 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 72 =
  40. 40.12345679 × 63 =

Answer key

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

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