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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 765 · 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. 1.123456 × 9 + 7 =
  2. 2.12345679 × 27 =
  3. 3.123 × 8 + 3 =
  4. 4.1234 × 8 + 4 =
  5. 5.123456 × 8 + 6 =
  6. 6.1111 × 1111 =
  7. 7.37 × 21 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12345679 × 9 =
  10. 10.12345679 × 45 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 36 =
  13. 13.123456789 × 8 + 9 =
  14. 14.11 × 11 =
  15. 15.12345679 × 18 =
  16. 16.12345679 × 72 =
  17. 17.11111 × 11111 =
  18. 18.12345679 × 54 =
  19. 19.37 × 15 =
  20. 20.1234 × 9 + 5 =
  21. 21.12345678 × 9 + 9 =
  22. 22.37 × 18 =
  23. 23.37 × 27 =
  24. 24.37 × 3 =
  25. 25.1234567 × 8 + 7 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 63 =
  28. 28.12345679 × 81 =
  29. 29.37 × 6 =
  30. 30.37 × 12 =
  31. 31.37 × 24 =
  32. 32.123 × 9 + 4 =
  33. 33.12345678 × 8 + 8 =
  34. 34.111 × 111 =
  35. 35.12345 × 9 + 6 =
  36. 36.111 × 111 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 9 =
  39. 39.1234 × 9 + 5 =
  40. 40.11111 × 11111 =

Answer key

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

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