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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 124 · 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. 2.123 × 9 + 4 =
  3. 3.1111 × 1111 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 45 =
  6. 6.37 × 27 =
  7. 7.37 × 18 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345678 × 8 + 8 =
  10. 10.37 × 3 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 18 =
  13. 13.111111 × 111111 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345 × 8 + 5 =
  16. 16.12 × 9 + 3 =
  17. 17.1234567 × 9 + 8 =
  18. 18.37 × 12 =
  19. 19.37 × 6 =
  20. 20.37 × 21 =
  21. 21.37 × 15 =
  22. 22.111 × 111 =
  23. 23.37 × 9 =
  24. 24.11 × 11 =
  25. 25.12345679 × 63 =
  26. 26.12345679 × 27 =
  27. 27.123 × 8 + 3 =
  28. 28.1234 × 8 + 4 =
  29. 29.12345679 × 54 =
  30. 30.12345679 × 72 =
  31. 31.12345 × 9 + 6 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 3 =
  34. 34.12345679 × 9 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345679 × 27 =
  37. 37.12345679 × 45 =
  38. 38.12345679 × 9 =
  39. 39.12345679 × 36 =
  40. 40.1111 × 1111 =

Answer key

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

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