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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 594 · 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. 1.1234 × 8 + 4 =
  2. 2.12345679 × 18 =
  3. 3.37 × 12 =
  4. 4.11111 × 11111 =
  5. 5.1111 × 1111 =
  6. 6.37 × 6 =
  7. 7.111 × 111 =
  8. 8.123 × 8 + 3 =
  9. 9.1234 × 9 + 5 =
  10. 10.37 × 3 =
  11. 11.37 × 21 =
  12. 12.12 × 9 + 3 =
  13. 13.37 × 18 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345679 × 45 =
  16. 16.12345679 × 63 =
  17. 17.37 × 9 =
  18. 18.12345679 × 72 =
  19. 19.12345679 × 36 =
  20. 20.12345 × 9 + 6 =
  21. 21.37 × 15 =
  22. 22.37 × 27 =
  23. 23.12 × 8 + 2 =
  24. 24.12345679 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.1234567 × 8 + 7 =
  27. 27.11 × 11 =
  28. 28.12345 × 8 + 5 =
  29. 29.123456 × 8 + 6 =
  30. 30.111111 × 111111 =
  31. 31.12345678 × 9 + 9 =
  32. 32.123456 × 9 + 7 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12345679 × 54 =
  35. 35.123 × 9 + 4 =
  36. 36.1111 × 1111 =
  37. 37.12345679 × 9 =
  38. 38.12345 × 8 + 5 =
  39. 39.123456 × 9 + 7 =
  40. 40.37 × 24 =

Answer key

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

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