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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 740 · 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 × 8 + 7 =
  2. 2.11 × 11 =
  3. 3.37 × 6 =
  4. 4.12345679 × 9 =
  5. 5.37 × 21 =
  6. 6.1111 × 1111 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12345679 × 27 =
  9. 9.1234 × 9 + 5 =
  10. 10.1234 × 8 + 4 =
  11. 11.12345679 × 18 =
  12. 12.12345679 × 72 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 36 =
  15. 15.37 × 12 =
  16. 16.1234567 × 9 + 8 =
  17. 17.37 × 3 =
  18. 18.123 × 8 + 3 =
  19. 19.111111 × 111111 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 9 =
  22. 22.12345679 × 54 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 24 =
  25. 25.12 × 9 + 3 =
  26. 26.123456 × 8 + 6 =
  27. 27.12 × 8 + 2 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 63 =
  30. 30.37 × 27 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 18 =
  33. 33.37 × 18 =
  34. 34.11111 × 11111 =
  35. 35.12345679 × 45 =
  36. 36.37 × 12 =
  37. 37.12345679 × 81 =
  38. 38.37 × 15 =
  39. 39.37 × 12 =
  40. 40.111 × 111 =

Answer key

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

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