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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 737 · 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 × 9 =
  2. 2.12 × 8 + 2 =
  3. 3.37 × 21 =
  4. 4.37 × 18 =
  5. 5.12345 × 9 + 6 =
  6. 6.12345679 × 18 =
  7. 7.123456 × 8 + 6 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 54 =
  10. 10.12 × 9 + 3 =
  11. 11.123 × 9 + 4 =
  12. 12.37 × 12 =
  13. 13.11 × 11 =
  14. 14.12345679 × 81 =
  15. 15.1234567 × 8 + 7 =
  16. 16.37 × 6 =
  17. 17.12345679 × 63 =
  18. 18.1234 × 8 + 4 =
  19. 19.12345679 × 27 =
  20. 20.1234 × 9 + 5 =
  21. 21.12345679 × 9 =
  22. 22.37 × 27 =
  23. 23.12345678 × 8 + 8 =
  24. 24.111 × 111 =
  25. 25.1111 × 1111 =
  26. 26.37 × 3 =
  27. 27.123456789 × 8 + 9 =
  28. 28.111111 × 111111 =
  29. 29.12345 × 8 + 5 =
  30. 30.37 × 24 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345679 × 36 =
  33. 33.123456 × 9 + 7 =
  34. 34.11111 × 11111 =
  35. 35.12345679 × 45 =
  36. 36.12345679 × 72 =
  37. 37.37 × 15 =
  38. 38.37 × 27 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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