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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 647 · 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. 2.12345679 × 45 =
  3. 3.12345 × 8 + 5 =
  4. 4.1234 × 9 + 5 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 18 =
  7. 7.37 × 18 =
  8. 8.12345679 × 9 =
  9. 9.11 × 11 =
  10. 10.12345679 × 72 =
  11. 11.12345678 × 9 + 9 =
  12. 12.12345679 × 54 =
  13. 13.37 × 6 =
  14. 14.37 × 12 =
  15. 15.12345 × 9 + 6 =
  16. 16.1234 × 8 + 4 =
  17. 17.37 × 21 =
  18. 18.12345679 × 27 =
  19. 19.123456 × 9 + 7 =
  20. 20.37 × 15 =
  21. 21.12 × 8 + 2 =
  22. 22.123456789 × 8 + 9 =
  23. 23.37 × 9 =
  24. 24.12345678 × 8 + 8 =
  25. 25.123456 × 8 + 6 =
  26. 26.37 × 3 =
  27. 27.12345679 × 81 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345679 × 36 =
  30. 30.1111 × 1111 =
  31. 31.12345679 × 63 =
  32. 32.37 × 24 =
  33. 33.111 × 111 =
  34. 34.12 × 9 + 3 =
  35. 35.11111 × 11111 =
  36. 36.123 × 8 + 3 =
  37. 37.37 × 21 =
  38. 38.12345679 × 18 =
  39. 39.37 × 18 =
  40. 40.37 × 27 =

Answer key

  1. 1111
  2. 555555555
  3. 98765
  4. 11111
  5. 12345654321
  6. 222222222
  7. 666
  8. 111111111
  9. 121
  10. 888888888
  11. 111111111
  12. 666666666
  13. 222
  14. 444
  15. 111111
  16. 9876
  17. 777
  18. 333333333
  19. 1111111
  20. 555
  21. 98
  22. 987654321
  23. 333
  24. 98765432
  25. 987654
  26. 111
  27. 999999999
  28. 11111111
  29. 444444444
  30. 1234321
  31. 777777777
  32. 888
  33. 12321
  34. 111
  35. 123454321
  36. 987
  37. 777
  38. 222222222
  39. 666
  40. 999

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