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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 212 · 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 × 54 =
  2. 2.12345678 × 9 + 9 =
  3. 3.37 × 18 =
  4. 4.12 × 8 + 2 =
  5. 5.11 × 11 =
  6. 6.12345679 × 72 =
  7. 7.12345679 × 63 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 18 =
  10. 10.37 × 24 =
  11. 11.1111 × 1111 =
  12. 12.37 × 6 =
  13. 13.37 × 12 =
  14. 14.111111 × 111111 =
  15. 15.37 × 3 =
  16. 16.12345679 × 27 =
  17. 17.12345678 × 8 + 8 =
  18. 18.1234567 × 8 + 7 =
  19. 19.12345 × 8 + 5 =
  20. 20.37 × 15 =
  21. 21.1234 × 9 + 5 =
  22. 22.37 × 27 =
  23. 23.12 × 9 + 3 =
  24. 24.123456789 × 8 + 9 =
  25. 25.123 × 9 + 4 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345 × 9 + 6 =
  28. 28.123456 × 9 + 7 =
  29. 29.111 × 111 =
  30. 30.12345679 × 9 =
  31. 31.1234 × 8 + 4 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 3 =
  34. 34.37 × 21 =
  35. 35.37 × 6 =
  36. 36.11111 × 11111 =
  37. 37.12345679 × 81 =
  38. 38.1234567 × 9 + 8 =
  39. 39.37 × 18 =
  40. 40.37 × 12 =

Answer key

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

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