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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 395 · 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. 1.123 × 9 + 4 =
  2. 2.123456 × 8 + 6 =
  3. 3.37 × 18 =
  4. 4.37 × 12 =
  5. 5.12 × 9 + 3 =
  6. 6.12345678 × 9 + 9 =
  7. 7.1234 × 8 + 4 =
  8. 8.37 × 6 =
  9. 9.12345679 × 36 =
  10. 10.123 × 8 + 3 =
  11. 11.37 × 21 =
  12. 12.1234567 × 9 + 8 =
  13. 13.12345679 × 9 =
  14. 14.1111 × 1111 =
  15. 15.11111 × 11111 =
  16. 16.111 × 111 =
  17. 17.1234567 × 8 + 7 =
  18. 18.1234 × 9 + 5 =
  19. 19.11 × 11 =
  20. 20.12345679 × 63 =
  21. 21.12345 × 9 + 6 =
  22. 22.37 × 9 =
  23. 23.12345679 × 81 =
  24. 24.12 × 8 + 2 =
  25. 25.12345679 × 18 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 72 =
  28. 28.37 × 15 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 54 =
  31. 31.37 × 15 =
  32. 32.12345678 × 8 + 8 =
  33. 33.37 × 24 =
  34. 34.12345679 × 45 =
  35. 35.111 × 111 =
  36. 36.12 × 8 + 2 =
  37. 37.123456789 × 8 + 9 =
  38. 38.37 × 27 =
  39. 39.37 × 24 =
  40. 40.37 × 3 =

Answer key

  1. 1111
  2. 987654
  3. 666
  4. 444
  5. 111
  6. 111111111
  7. 9876
  8. 222
  9. 444444444
  10. 987
  11. 777
  12. 11111111
  13. 111111111
  14. 1234321
  15. 123454321
  16. 12321
  17. 9876543
  18. 11111
  19. 121
  20. 777777777
  21. 111111
  22. 333
  23. 999999999
  24. 98
  25. 222222222
  26. 12345654321
  27. 888888888
  28. 555
  29. 333333333
  30. 666666666
  31. 555
  32. 98765432
  33. 888
  34. 555555555
  35. 12321
  36. 98
  37. 987654321
  38. 999
  39. 888
  40. 111

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