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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 513 · 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 × 18 =
  2. 2.111111 × 111111 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 81 =
  5. 5.1234567 × 8 + 7 =
  6. 6.37 × 9 =
  7. 7.12345 × 9 + 6 =
  8. 8.123456789 × 8 + 9 =
  9. 9.111 × 111 =
  10. 10.11 × 11 =
  11. 11.37 × 27 =
  12. 12.123456 × 9 + 7 =
  13. 13.12345679 × 36 =
  14. 14.1234 × 9 + 5 =
  15. 15.11111 × 11111 =
  16. 16.37 × 24 =
  17. 17.12345679 × 63 =
  18. 18.37 × 3 =
  19. 19.123456 × 8 + 6 =
  20. 20.12345679 × 45 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 21 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345679 × 72 =
  25. 25.37 × 15 =
  26. 26.37 × 6 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12 × 8 + 2 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345679 × 54 =
  31. 31.123 × 8 + 3 =
  32. 32.1234567 × 9 + 8 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 9 =
  35. 35.12345679 × 18 =
  36. 36.12345679 × 27 =
  37. 37.37 × 18 =
  38. 38.37 × 12 =
  39. 39.12 × 9 + 3 =
  40. 40.37 × 9 =

Answer key

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

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