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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 675 · 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. 2.12345679 × 63 =
  3. 3.123456 × 9 + 7 =
  4. 4.37 × 18 =
  5. 5.111111 × 111111 =
  6. 6.123 × 9 + 4 =
  7. 7.1234 × 9 + 5 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 72 =
  11. 11.12345679 × 27 =
  12. 12.12 × 8 + 2 =
  13. 13.111 × 111 =
  14. 14.37 × 24 =
  15. 15.37 × 15 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12345678 × 9 + 9 =
  18. 18.11111 × 11111 =
  19. 19.1111 × 1111 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12 × 9 + 3 =
  22. 22.37 × 3 =
  23. 23.12345679 × 36 =
  24. 24.37 × 21 =
  25. 25.1234567 × 9 + 8 =
  26. 26.37 × 27 =
  27. 27.37 × 12 =
  28. 28.12345679 × 45 =
  29. 29.12345678 × 9 + 9 =
  30. 30.123456 × 8 + 6 =
  31. 31.1234567 × 8 + 7 =
  32. 32.37 × 6 =
  33. 33.12345 × 9 + 6 =
  34. 34.12345679 × 18 =
  35. 35.12345679 × 9 =
  36. 36.37 × 9 =
  37. 37.37 × 12 =
  38. 38.12345679 × 72 =
  39. 39.12345 × 8 + 5 =
  40. 40.123 × 8 + 3 =

Answer key

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

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