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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 339 · 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. 1.123456 × 8 + 6 =
  2. 2.37 × 21 =
  3. 3.11 × 11 =
  4. 4.37 × 18 =
  5. 5.12 × 9 + 3 =
  6. 6.111 × 111 =
  7. 7.37 × 6 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345678 × 8 + 8 =
  10. 10.123 × 8 + 3 =
  11. 11.1234 × 9 + 5 =
  12. 12.12345679 × 81 =
  13. 13.12345679 × 72 =
  14. 14.37 × 9 =
  15. 15.12345 × 9 + 6 =
  16. 16.11111 × 11111 =
  17. 17.37 × 15 =
  18. 18.123456 × 9 + 7 =
  19. 19.12345679 × 54 =
  20. 20.12345679 × 36 =
  21. 21.37 × 24 =
  22. 22.12345679 × 9 =
  23. 23.37 × 12 =
  24. 24.111111 × 111111 =
  25. 25.123 × 9 + 4 =
  26. 26.37 × 3 =
  27. 27.12345679 × 27 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 27 =
  30. 30.12345679 × 63 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12 × 8 + 2 =
  33. 33.12345679 × 18 =
  34. 34.12345 × 8 + 5 =
  35. 35.1234567 × 8 + 7 =
  36. 36.1234567 × 9 + 8 =
  37. 37.37 × 21 =
  38. 38.12345679 × 45 =
  39. 39.123456 × 8 + 6 =
  40. 40.12345679 × 63 =

Answer key

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

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