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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 481 · 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. 1.11 × 11 =
  2. 2.123456789 × 8 + 9 =
  3. 3.11111 × 11111 =
  4. 4.37 × 27 =
  5. 5.37 × 15 =
  6. 6.12345679 × 81 =
  7. 7.37 × 21 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 18 =
  10. 10.37 × 12 =
  11. 11.111 × 111 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345679 × 72 =
  14. 14.123 × 8 + 3 =
  15. 15.123456 × 9 + 7 =
  16. 16.12345678 × 9 + 9 =
  17. 17.37 × 3 =
  18. 18.1234 × 9 + 5 =
  19. 19.12345 × 9 + 6 =
  20. 20.37 × 6 =
  21. 21.111111 × 111111 =
  22. 22.37 × 24 =
  23. 23.12 × 9 + 3 =
  24. 24.12345679 × 36 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 9 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 54 =
  29. 29.12345 × 8 + 5 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 27 =
  32. 32.123 × 9 + 4 =
  33. 33.12345679 × 63 =
  34. 34.12 × 8 + 2 =
  35. 35.37 × 9 =
  36. 36.37 × 18 =
  37. 37.1234 × 8 + 4 =
  38. 38.1234567 × 8 + 7 =
  39. 39.37 × 21 =
  40. 40.37 × 9 =

Answer key

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

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