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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 322 · 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. 2.12 × 8 + 2 =
  3. 3.12 × 9 + 3 =
  4. 4.37 × 9 =
  5. 5.12345679 × 36 =
  6. 6.123 × 9 + 4 =
  7. 7.111 × 111 =
  8. 8.12345679 × 63 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345679 × 27 =
  11. 11.37 × 3 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345679 × 18 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345679 × 54 =
  16. 16.12345679 × 9 =
  17. 17.37 × 24 =
  18. 18.12345679 × 81 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345679 × 45 =
  21. 21.123 × 8 + 3 =
  22. 22.1234567 × 9 + 8 =
  23. 23.123456 × 9 + 7 =
  24. 24.1234 × 8 + 4 =
  25. 25.12345678 × 9 + 9 =
  26. 26.123456789 × 8 + 9 =
  27. 27.111111 × 111111 =
  28. 28.37 × 27 =
  29. 29.37 × 6 =
  30. 30.11111 × 11111 =
  31. 31.12345679 × 72 =
  32. 32.12345678 × 8 + 8 =
  33. 33.37 × 15 =
  34. 34.1111 × 1111 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 18 =
  37. 37.37 × 21 =
  38. 38.12345679 × 63 =
  39. 39.37 × 12 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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