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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 523 · 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 × 12 =
  2. 2.123 × 8 + 3 =
  3. 3.37 × 3 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 18 =
  6. 6.12 × 9 + 3 =
  7. 7.1111 × 1111 =
  8. 8.37 × 18 =
  9. 9.12345679 × 36 =
  10. 10.1234567 × 8 + 7 =
  11. 11.123 × 9 + 4 =
  12. 12.111 × 111 =
  13. 13.1234 × 9 + 5 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 81 =
  16. 16.37 × 6 =
  17. 17.12345679 × 63 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 9 =
  20. 20.12345 × 9 + 6 =
  21. 21.37 × 27 =
  22. 22.37 × 15 =
  23. 23.12 × 8 + 2 =
  24. 24.12345678 × 9 + 9 =
  25. 25.123456789 × 8 + 9 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 9 =
  28. 28.37 × 24 =
  29. 29.12345679 × 27 =
  30. 30.11 × 11 =
  31. 31.12345679 × 72 =
  32. 32.12345679 × 45 =
  33. 33.37 × 21 =
  34. 34.12345 × 8 + 5 =
  35. 35.1234 × 8 + 4 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123456789 × 8 + 9 =
  38. 38.123456 × 8 + 6 =
  39. 39.123456789 × 8 + 9 =
  40. 40.37 × 15 =

Answer key

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

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