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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 560 · 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. 1.1234567 × 9 + 8 =
  2. 2.12345679 × 72 =
  3. 3.11 × 11 =
  4. 4.12345679 × 63 =
  5. 5.123456 × 9 + 7 =
  6. 6.123456 × 8 + 6 =
  7. 7.123 × 9 + 4 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 27 =
  10. 10.12345 × 9 + 6 =
  11. 11.12345679 × 9 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 18 =
  14. 14.12 × 8 + 2 =
  15. 15.12345679 × 81 =
  16. 16.12 × 9 + 3 =
  17. 17.37 × 15 =
  18. 18.12345679 × 45 =
  19. 19.37 × 18 =
  20. 20.1234567 × 8 + 7 =
  21. 21.11111 × 11111 =
  22. 22.37 × 9 =
  23. 23.1234 × 9 + 5 =
  24. 24.111111 × 111111 =
  25. 25.12345678 × 8 + 8 =
  26. 26.37 × 21 =
  27. 27.12345 × 8 + 5 =
  28. 28.123456789 × 8 + 9 =
  29. 29.37 × 3 =
  30. 30.37 × 12 =
  31. 31.12345679 × 36 =
  32. 32.37 × 6 =
  33. 33.37 × 24 =
  34. 34.37 × 27 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 45 =
  37. 37.1234 × 8 + 4 =
  38. 38.111 × 111 =
  39. 39.111111 × 111111 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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