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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 180 · 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. 1.12345679 × 9 =
  2. 2.11 × 11 =
  3. 3.37 × 6 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 15 =
  6. 6.12345678 × 8 + 8 =
  7. 7.123 × 8 + 3 =
  8. 8.11111 × 11111 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345679 × 45 =
  11. 11.12345679 × 36 =
  12. 12.12 × 8 + 2 =
  13. 13.37 × 9 =
  14. 14.1234 × 8 + 4 =
  15. 15.1234567 × 9 + 8 =
  16. 16.123456 × 8 + 6 =
  17. 17.37 × 24 =
  18. 18.37 × 21 =
  19. 19.1111 × 1111 =
  20. 20.12345 × 8 + 5 =
  21. 21.111 × 111 =
  22. 22.12345679 × 27 =
  23. 23.12345679 × 18 =
  24. 24.123 × 8 + 3 =
  25. 25.111111 × 111111 =
  26. 26.12345679 × 63 =
  27. 27.12345 × 9 + 6 =
  28. 28.37 × 3 =
  29. 29.37 × 9 =
  30. 30.12345678 × 9 + 9 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 18 =
  33. 33.37 × 12 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345679 × 54 =
  36. 36.12345679 × 63 =
  37. 37.37 × 6 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 72 =
  40. 40.12345679 × 36 =

Answer key

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

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