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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 553 · 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. 2.12345679 × 9 =
  3. 3.123 × 8 + 3 =
  4. 4.12345679 × 36 =
  5. 5.1111 × 1111 =
  6. 6.12345679 × 27 =
  7. 7.12345679 × 18 =
  8. 8.123456 × 9 + 7 =
  9. 9.11111 × 11111 =
  10. 10.37 × 18 =
  11. 11.37 × 9 =
  12. 12.12345679 × 63 =
  13. 13.37 × 12 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345 × 9 + 6 =
  16. 16.12 × 9 + 3 =
  17. 17.111111 × 111111 =
  18. 18.37 × 21 =
  19. 19.11 × 11 =
  20. 20.1234567 × 9 + 8 =
  21. 21.37 × 24 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345679 × 45 =
  24. 24.37 × 3 =
  25. 25.12345679 × 72 =
  26. 26.12345679 × 54 =
  27. 27.37 × 27 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345679 × 81 =
  30. 30.37 × 6 =
  31. 31.12345678 × 9 + 9 =
  32. 32.1234567 × 8 + 7 =
  33. 33.37 × 15 =
  34. 34.123456 × 8 + 6 =
  35. 35.111 × 111 =
  36. 36.12345 × 9 + 6 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 15 =
  39. 39.11111 × 11111 =
  40. 40.12345679 × 54 =

Answer key

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

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