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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 593 · 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. 1.1234567 × 8 + 7 =
  2. 2.11 × 11 =
  3. 3.1234567 × 9 + 8 =
  4. 4.1111 × 1111 =
  5. 5.37 × 21 =
  6. 6.12345679 × 9 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 27 =
  9. 9.37 × 9 =
  10. 10.37 × 6 =
  11. 11.111 × 111 =
  12. 12.12345 × 8 + 5 =
  13. 13.12 × 9 + 3 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 54 =
  16. 16.123 × 8 + 3 =
  17. 17.12345 × 9 + 6 =
  18. 18.123 × 9 + 4 =
  19. 19.11111 × 11111 =
  20. 20.12345679 × 81 =
  21. 21.37 × 27 =
  22. 22.37 × 3 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 72 =
  25. 25.12345679 × 36 =
  26. 26.111111 × 111111 =
  27. 27.123456 × 8 + 6 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345678 × 9 + 9 =
  30. 30.37 × 24 =
  31. 31.37 × 12 =
  32. 32.37 × 18 =
  33. 33.37 × 15 =
  34. 34.12345679 × 63 =
  35. 35.123 × 8 + 3 =
  36. 36.37 × 3 =
  37. 37.123456 × 9 + 7 =
  38. 38.12345678 × 8 + 8 =
  39. 39.12345 × 8 + 5 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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