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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 674 · 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. 1.37 × 6 =
  2. 2.12345679 × 18 =
  3. 3.12345679 × 9 =
  4. 4.12345679 × 36 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345678 × 9 + 9 =
  7. 7.12345679 × 81 =
  8. 8.111111 × 111111 =
  9. 9.12345 × 8 + 5 =
  10. 10.37 × 3 =
  11. 11.11111 × 11111 =
  12. 12.1234 × 8 + 4 =
  13. 13.12345679 × 54 =
  14. 14.12345679 × 45 =
  15. 15.12345679 × 63 =
  16. 16.123 × 9 + 4 =
  17. 17.11 × 11 =
  18. 18.111 × 111 =
  19. 19.37 × 24 =
  20. 20.1234567 × 9 + 8 =
  21. 21.1234567 × 8 + 7 =
  22. 22.37 × 15 =
  23. 23.123456789 × 8 + 9 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 18 =
  26. 26.12 × 8 + 2 =
  27. 27.12345679 × 27 =
  28. 28.1111 × 1111 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12 × 9 + 3 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345679 × 72 =
  33. 33.37 × 9 =
  34. 34.37 × 21 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 15 =
  37. 37.12345 × 9 + 6 =
  38. 38.12345679 × 36 =
  39. 39.123456789 × 8 + 9 =
  40. 40.37 × 12 =

Answer key

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

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