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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 402 · 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. 1.111 × 111 =
  2. 2.123 × 9 + 4 =
  3. 3.123456 × 8 + 6 =
  4. 4.123 × 8 + 3 =
  5. 5.37 × 12 =
  6. 6.12 × 8 + 2 =
  7. 7.12345679 × 18 =
  8. 8.37 × 9 =
  9. 9.12345679 × 81 =
  10. 10.11111 × 11111 =
  11. 11.1234567 × 8 + 7 =
  12. 12.123456789 × 8 + 9 =
  13. 13.12345679 × 54 =
  14. 14.12345679 × 9 =
  15. 15.12 × 9 + 3 =
  16. 16.12345679 × 45 =
  17. 17.1234567 × 9 + 8 =
  18. 18.1234 × 9 + 5 =
  19. 19.123456 × 9 + 7 =
  20. 20.37 × 21 =
  21. 21.111111 × 111111 =
  22. 22.1111 × 1111 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345678 × 8 + 8 =
  25. 25.37 × 27 =
  26. 26.1234 × 9 + 5 =
  27. 27.11 × 11 =
  28. 28.37 × 18 =
  29. 29.12345679 × 36 =
  30. 30.12345679 × 63 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 3 =
  33. 33.37 × 15 =
  34. 34.37 × 6 =
  35. 35.12345 × 9 + 6 =
  36. 36.37 × 21 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 24 =
  39. 39.12345679 × 72 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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