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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 612 · 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. 2.12345 × 9 + 6 =
  3. 3.37 × 24 =
  4. 4.37 × 15 =
  5. 5.12345 × 8 + 5 =
  6. 6.12 × 8 + 2 =
  7. 7.111111 × 111111 =
  8. 8.11111 × 11111 =
  9. 9.111 × 111 =
  10. 10.12345679 × 18 =
  11. 11.1111 × 1111 =
  12. 12.37 × 12 =
  13. 13.12345679 × 63 =
  14. 14.123 × 9 + 4 =
  15. 15.12 × 9 + 3 =
  16. 16.37 × 21 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 81 =
  19. 19.37 × 9 =
  20. 20.12345679 × 54 =
  21. 21.1234 × 8 + 4 =
  22. 22.11 × 11 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 9 =
  25. 25.37 × 3 =
  26. 26.12345679 × 72 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 27 =
  29. 29.37 × 18 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 27 =
  32. 32.1234567 × 8 + 7 =
  33. 33.37 × 21 =
  34. 34.1234 × 9 + 5 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123456 × 8 + 6 =
  38. 38.1234567 × 9 + 8 =
  39. 39.11 × 11 =
  40. 40.12345679 × 45 =

Answer key

  1. 222
  2. 111111
  3. 888
  4. 555
  5. 98765
  6. 98
  7. 12345654321
  8. 123454321
  9. 12321
  10. 222222222
  11. 1234321
  12. 444
  13. 777777777
  14. 1111
  15. 111
  16. 777
  17. 987654321
  18. 999999999
  19. 333
  20. 666666666
  21. 9876
  22. 121
  23. 1111111
  24. 111111111
  25. 111
  26. 888888888
  27. 444444444
  28. 333333333
  29. 666
  30. 987
  31. 999
  32. 9876543
  33. 777
  34. 11111
  35. 111111111
  36. 98765432
  37. 987654
  38. 11111111
  39. 121
  40. 555555555

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