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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 582 · 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. 1.123456 × 8 + 6 =
  2. 2.37 × 6 =
  3. 3.12345679 × 54 =
  4. 4.1234567 × 9 + 8 =
  5. 5.37 × 24 =
  6. 6.12345679 × 36 =
  7. 7.1111 × 1111 =
  8. 8.11 × 11 =
  9. 9.37 × 9 =
  10. 10.123456 × 9 + 7 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 72 =
  13. 13.123 × 8 + 3 =
  14. 14.12345679 × 45 =
  15. 15.12345679 × 81 =
  16. 16.1234 × 9 + 5 =
  17. 17.12 × 9 + 3 =
  18. 18.11111 × 11111 =
  19. 19.111111 × 111111 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 3 =
  22. 22.37 × 12 =
  23. 23.12345 × 8 + 5 =
  24. 24.111 × 111 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12345 × 9 + 6 =
  27. 27.37 × 21 =
  28. 28.12345679 × 63 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 18 =
  31. 31.12 × 8 + 2 =
  32. 32.37 × 15 =
  33. 33.12345679 × 9 =
  34. 34.123 × 9 + 4 =
  35. 35.12345678 × 8 + 8 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345679 × 9 =
  38. 38.123456 × 8 + 6 =
  39. 39.37 × 27 =
  40. 40.1234 × 8 + 4 =

Answer key

  1. 987654
  2. 222
  3. 666666666
  4. 11111111
  5. 888
  6. 444444444
  7. 1234321
  8. 121
  9. 333
  10. 1111111
  11. 111111111
  12. 888888888
  13. 987
  14. 555555555
  15. 999999999
  16. 11111
  17. 111
  18. 123454321
  19. 12345654321
  20. 111111111
  21. 111
  22. 444
  23. 98765
  24. 12321
  25. 9876543
  26. 111111
  27. 777
  28. 777777777
  29. 333333333
  30. 222222222
  31. 98
  32. 555
  33. 111111111
  34. 1111
  35. 98765432
  36. 987654321
  37. 111111111
  38. 987654
  39. 999
  40. 9876

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