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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 595 · 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. 1.12345 × 8 + 5 =
  2. 2.12345679 × 27 =
  3. 3.123456 × 8 + 6 =
  4. 4.12345679 × 36 =
  5. 5.37 × 21 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345679 × 63 =
  8. 8.1234 × 8 + 4 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 54 =
  11. 11.123 × 9 + 4 =
  12. 12.11 × 11 =
  13. 13.37 × 18 =
  14. 14.11111 × 11111 =
  15. 15.12345679 × 18 =
  16. 16.12345679 × 45 =
  17. 17.37 × 15 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12345679 × 81 =
  20. 20.123456 × 9 + 7 =
  21. 21.12 × 9 + 3 =
  22. 22.1234 × 9 + 5 =
  23. 23.37 × 24 =
  24. 24.12345679 × 9 =
  25. 25.123 × 8 + 3 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345 × 9 + 6 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345678 × 8 + 8 =
  30. 30.111 × 111 =
  31. 31.111111 × 111111 =
  32. 32.37 × 6 =
  33. 33.37 × 24 =
  34. 34.12345678 × 9 + 9 =
  35. 35.12 × 8 + 2 =
  36. 36.123456789 × 8 + 9 =
  37. 37.37 × 12 =
  38. 38.37 × 9 =
  39. 39.12345679 × 72 =
  40. 40.37 × 27 =

Answer key

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

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