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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 719 · 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. 1.12345678 × 9 + 9 =
  2. 2.12345 × 8 + 5 =
  3. 3.12345679 × 18 =
  4. 4.1234 × 8 + 4 =
  5. 5.37 × 12 =
  6. 6.12345679 × 54 =
  7. 7.37 × 15 =
  8. 8.12345679 × 27 =
  9. 9.37 × 24 =
  10. 10.37 × 3 =
  11. 11.37 × 18 =
  12. 12.12345 × 9 + 6 =
  13. 13.12345679 × 81 =
  14. 14.1111 × 1111 =
  15. 15.12345679 × 63 =
  16. 16.111111 × 111111 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 9 =
  19. 19.37 × 21 =
  20. 20.37 × 9 =
  21. 21.37 × 6 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234567 × 8 + 7 =
  24. 24.12345679 × 72 =
  25. 25.123 × 8 + 3 =
  26. 26.111 × 111 =
  27. 27.1234 × 9 + 5 =
  28. 28.37 × 27 =
  29. 29.11111 × 11111 =
  30. 30.12 × 8 + 2 =
  31. 31.12 × 9 + 3 =
  32. 32.12 × 9 + 3 =
  33. 33.123456 × 9 + 7 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 45 =
  36. 36.11 × 11 =
  37. 37.1234567 × 9 + 8 =
  38. 38.37 × 12 =
  39. 39.12345679 × 36 =
  40. 40.37 × 12 =

Answer key

  1. 111111111
  2. 98765
  3. 222222222
  4. 9876
  5. 444
  6. 666666666
  7. 555
  8. 333333333
  9. 888
  10. 111
  11. 666
  12. 111111
  13. 999999999
  14. 1234321
  15. 777777777
  16. 12345654321
  17. 1111
  18. 111111111
  19. 777
  20. 333
  21. 222
  22. 987654321
  23. 9876543
  24. 888888888
  25. 987
  26. 12321
  27. 11111
  28. 999
  29. 123454321
  30. 98
  31. 111
  32. 111
  33. 1111111
  34. 987654
  35. 555555555
  36. 121
  37. 11111111
  38. 444
  39. 444444444
  40. 444

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