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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 552 · 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. 1.1234 × 9 + 5 =
  2. 2.37 × 6 =
  3. 3.37 × 21 =
  4. 4.123456 × 9 + 7 =
  5. 5.37 × 15 =
  6. 6.12345 × 8 + 5 =
  7. 7.123456 × 8 + 6 =
  8. 8.37 × 12 =
  9. 9.111111 × 111111 =
  10. 10.12345679 × 36 =
  11. 11.11 × 11 =
  12. 12.123456789 × 8 + 9 =
  13. 13.37 × 3 =
  14. 14.12 × 8 + 2 =
  15. 15.12345679 × 45 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345678 × 8 + 8 =
  18. 18.12345679 × 27 =
  19. 19.123 × 9 + 4 =
  20. 20.37 × 9 =
  21. 21.123 × 8 + 3 =
  22. 22.12345679 × 18 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 27 =
  25. 25.12345679 × 72 =
  26. 26.37 × 24 =
  27. 27.12345679 × 63 =
  28. 28.111 × 111 =
  29. 29.12345679 × 54 =
  30. 30.1234 × 8 + 4 =
  31. 31.12345679 × 81 =
  32. 32.1111 × 1111 =
  33. 33.37 × 18 =
  34. 34.123456 × 9 + 7 =
  35. 35.11111 × 11111 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345678 × 8 + 8 =
  38. 38.12345679 × 9 =
  39. 39.12 × 9 + 3 =
  40. 40.1234567 × 8 + 7 =

Answer key

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

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