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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 601 · 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. 1.1234 × 8 + 4 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345 × 8 + 5 =
  4. 4.1111 × 1111 =
  5. 5.11111 × 11111 =
  6. 6.123 × 9 + 4 =
  7. 7.111111 × 111111 =
  8. 8.12345679 × 18 =
  9. 9.37 × 6 =
  10. 10.12 × 8 + 2 =
  11. 11.12345679 × 9 =
  12. 12.111 × 111 =
  13. 13.12345679 × 63 =
  14. 14.37 × 24 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345679 × 36 =
  17. 17.12 × 9 + 3 =
  18. 18.12345679 × 45 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345 × 9 + 6 =
  21. 21.37 × 9 =
  22. 22.37 × 27 =
  23. 23.123456 × 8 + 6 =
  24. 24.12345679 × 72 =
  25. 25.123456 × 9 + 7 =
  26. 26.1234 × 9 + 5 =
  27. 27.37 × 15 =
  28. 28.12345679 × 54 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345679 × 81 =
  31. 31.37 × 12 =
  32. 32.11 × 11 =
  33. 33.37 × 3 =
  34. 34.123 × 8 + 3 =
  35. 35.37 × 21 =
  36. 36.12345679 × 27 =
  37. 37.37 × 18 =
  38. 38.123 × 9 + 4 =
  39. 39.12345679 × 54 =
  40. 40.11 × 11 =

Answer key

  1. 9876
  2. 111111111
  3. 98765
  4. 1234321
  5. 123454321
  6. 1111
  7. 12345654321
  8. 222222222
  9. 222
  10. 98
  11. 111111111
  12. 12321
  13. 777777777
  14. 888
  15. 9876543
  16. 444444444
  17. 111
  18. 555555555
  19. 98765432
  20. 111111
  21. 333
  22. 999
  23. 987654
  24. 888888888
  25. 1111111
  26. 11111
  27. 555
  28. 666666666
  29. 11111111
  30. 999999999
  31. 444
  32. 121
  33. 111
  34. 987
  35. 777
  36. 333333333
  37. 666
  38. 1111
  39. 666666666
  40. 121

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