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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 400 · 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. 2.11 × 11 =
  3. 3.12345679 × 36 =
  4. 4.37 × 3 =
  5. 5.37 × 9 =
  6. 6.12345679 × 27 =
  7. 7.123 × 8 + 3 =
  8. 8.123 × 9 + 4 =
  9. 9.12345679 × 9 =
  10. 10.1234 × 9 + 5 =
  11. 11.12345679 × 45 =
  12. 12.1234567 × 9 + 8 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 54 =
  15. 15.37 × 12 =
  16. 16.12 × 9 + 3 =
  17. 17.37 × 27 =
  18. 18.37 × 18 =
  19. 19.12345679 × 63 =
  20. 20.111 × 111 =
  21. 21.12345678 × 9 + 9 =
  22. 22.37 × 15 =
  23. 23.37 × 24 =
  24. 24.123456 × 9 + 7 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345679 × 72 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345679 × 81 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345679 × 18 =
  31. 31.1111 × 1111 =
  32. 32.12 × 8 + 2 =
  33. 33.12345679 × 36 =
  34. 34.1234 × 8 + 4 =
  35. 35.11111 × 11111 =
  36. 36.37 × 21 =
  37. 37.123456789 × 8 + 9 =
  38. 38.12345679 × 45 =
  39. 39.11111 × 11111 =
  40. 40.12345679 × 63 =

Answer key

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

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