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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 323 · 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. 1.111111 × 111111 =
  2. 2.123 × 8 + 3 =
  3. 3.37 × 18 =
  4. 4.12345679 × 54 =
  5. 5.12345 × 8 + 5 =
  6. 6.37 × 6 =
  7. 7.12 × 9 + 3 =
  8. 8.11 × 11 =
  9. 9.12345679 × 9 =
  10. 10.12345678 × 9 + 9 =
  11. 11.12345679 × 63 =
  12. 12.37 × 24 =
  13. 13.12345679 × 27 =
  14. 14.1234567 × 9 + 8 =
  15. 15.123 × 9 + 4 =
  16. 16.1234 × 9 + 5 =
  17. 17.37 × 3 =
  18. 18.12345679 × 18 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345 × 9 + 6 =
  21. 21.1111 × 1111 =
  22. 22.37 × 9 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12345679 × 81 =
  25. 25.12 × 8 + 2 =
  26. 26.1234567 × 8 + 7 =
  27. 27.123456 × 9 + 7 =
  28. 28.11111 × 11111 =
  29. 29.123456 × 8 + 6 =
  30. 30.123456789 × 8 + 9 =
  31. 31.37 × 15 =
  32. 32.37 × 27 =
  33. 33.111 × 111 =
  34. 34.111111 × 111111 =
  35. 35.12345679 × 72 =
  36. 36.12345679 × 45 =
  37. 37.111 × 111 =
  38. 38.12345679 × 36 =
  39. 39.11 × 11 =
  40. 40.37 × 21 =

Answer key

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

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