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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 435 · 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. 1.12 × 9 + 3 =
  2. 2.111 × 111 =
  3. 3.12345679 × 27 =
  4. 4.12345679 × 36 =
  5. 5.11 × 11 =
  6. 6.37 × 12 =
  7. 7.12345678 × 8 + 8 =
  8. 8.37 × 18 =
  9. 9.37 × 15 =
  10. 10.12345679 × 63 =
  11. 11.37 × 9 =
  12. 12.123 × 8 + 3 =
  13. 13.1234 × 8 + 4 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 18 =
  16. 16.111111 × 111111 =
  17. 17.11111 × 11111 =
  18. 18.123456789 × 8 + 9 =
  19. 19.123 × 9 + 4 =
  20. 20.12345679 × 45 =
  21. 21.12345679 × 72 =
  22. 22.1234567 × 8 + 7 =
  23. 23.37 × 27 =
  24. 24.12 × 8 + 2 =
  25. 25.12345 × 8 + 5 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 54 =
  28. 28.1234 × 9 + 5 =
  29. 29.12345 × 9 + 6 =
  30. 30.1111 × 1111 =
  31. 31.37 × 24 =
  32. 32.123456 × 8 + 6 =
  33. 33.37 × 3 =
  34. 34.12345678 × 9 + 9 =
  35. 35.37 × 21 =
  36. 36.12345679 × 81 =
  37. 37.12345679 × 45 =
  38. 38.12 × 9 + 3 =
  39. 39.37 × 18 =
  40. 40.37 × 6 =

Answer key

  1. 111
  2. 12321
  3. 333333333
  4. 444444444
  5. 121
  6. 444
  7. 98765432
  8. 666
  9. 555
  10. 777777777
  11. 333
  12. 987
  13. 9876
  14. 111111111
  15. 222222222
  16. 12345654321
  17. 123454321
  18. 987654321
  19. 1111
  20. 555555555
  21. 888888888
  22. 9876543
  23. 999
  24. 98
  25. 98765
  26. 11111111
  27. 666666666
  28. 11111
  29. 111111
  30. 1234321
  31. 888
  32. 987654
  33. 111
  34. 111111111
  35. 777
  36. 999999999
  37. 555555555
  38. 111
  39. 666
  40. 222

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