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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 655 · 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. 1.12345678 × 9 + 9 =
  2. 2.123 × 8 + 3 =
  3. 3.12345 × 9 + 6 =
  4. 4.123456 × 8 + 6 =
  5. 5.1234 × 8 + 4 =
  6. 6.37 × 21 =
  7. 7.11 × 11 =
  8. 8.12345679 × 18 =
  9. 9.12 × 8 + 2 =
  10. 10.1234567 × 9 + 8 =
  11. 11.111 × 111 =
  12. 12.123456 × 9 + 7 =
  13. 13.12345679 × 36 =
  14. 14.12345679 × 81 =
  15. 15.37 × 3 =
  16. 16.12345679 × 45 =
  17. 17.12 × 9 + 3 =
  18. 18.12345679 × 72 =
  19. 19.37 × 6 =
  20. 20.1234 × 9 + 5 =
  21. 21.123456789 × 8 + 9 =
  22. 22.111111 × 111111 =
  23. 23.11111 × 11111 =
  24. 24.37 × 18 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12345679 × 63 =
  27. 27.1111 × 1111 =
  28. 28.1234567 × 8 + 7 =
  29. 29.37 × 12 =
  30. 30.12345 × 8 + 5 =
  31. 31.37 × 27 =
  32. 32.37 × 24 =
  33. 33.12345679 × 54 =
  34. 34.37 × 15 =
  35. 35.12345679 × 27 =
  36. 36.12345679 × 9 =
  37. 37.37 × 9 =
  38. 38.37 × 12 =
  39. 39.37 × 6 =
  40. 40.111111 × 111111 =

Answer key

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

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