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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 281 · 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. 1.12345 × 8 + 5 =
  2. 2.12 × 8 + 2 =
  3. 3.11 × 11 =
  4. 4.1234 × 8 + 4 =
  5. 5.37 × 27 =
  6. 6.12345678 × 8 + 8 =
  7. 7.1234 × 9 + 5 =
  8. 8.11111 × 11111 =
  9. 9.111111 × 111111 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 18 =
  12. 12.12 × 9 + 3 =
  13. 13.123456 × 8 + 6 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12345679 × 36 =
  16. 16.111 × 111 =
  17. 17.37 × 21 =
  18. 18.12345679 × 81 =
  19. 19.37 × 18 =
  20. 20.12345679 × 63 =
  21. 21.12345679 × 45 =
  22. 22.37 × 15 =
  23. 23.123 × 8 + 3 =
  24. 24.12345679 × 9 =
  25. 25.37 × 6 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345679 × 54 =
  28. 28.37 × 24 =
  29. 29.12345 × 9 + 6 =
  30. 30.1234567 × 9 + 8 =
  31. 31.37 × 9 =
  32. 32.12345679 × 72 =
  33. 33.37 × 12 =
  34. 34.123456 × 9 + 7 =
  35. 35.37 × 12 =
  36. 36.37 × 3 =
  37. 37.12345679 × 9 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 18 =
  40. 40.37 × 12 =

Answer key

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

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