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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 712 · 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 × 45 =
  3. 3.11 × 11 =
  4. 4.12345679 × 81 =
  5. 5.37 × 24 =
  6. 6.12 × 9 + 3 =
  7. 7.37 × 9 =
  8. 8.37 × 12 =
  9. 9.12345679 × 18 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12 × 8 + 2 =
  12. 12.123456 × 9 + 7 =
  13. 13.12345679 × 27 =
  14. 14.37 × 27 =
  15. 15.111 × 111 =
  16. 16.37 × 3 =
  17. 17.123 × 8 + 3 =
  18. 18.123 × 9 + 4 =
  19. 19.37 × 15 =
  20. 20.1111 × 1111 =
  21. 21.12345679 × 54 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 36 =
  24. 24.1234 × 9 + 5 =
  25. 25.12345679 × 72 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345 × 8 + 5 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 9 =
  30. 30.1234 × 8 + 4 =
  31. 31.37 × 18 =
  32. 32.37 × 21 =
  33. 33.123456 × 8 + 6 =
  34. 34.12345679 × 63 =
  35. 35.11111 × 11111 =
  36. 36.12345679 × 63 =
  37. 37.37 × 9 =
  38. 38.111111 × 111111 =
  39. 39.37 × 18 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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