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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 599 · 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 × 8 + 3 =
  2. 2.37 × 12 =
  3. 3.12345 × 8 + 5 =
  4. 4.37 × 3 =
  5. 5.12345 × 9 + 6 =
  6. 6.1111 × 1111 =
  7. 7.11111 × 11111 =
  8. 8.12345679 × 54 =
  9. 9.12345679 × 18 =
  10. 10.37 × 24 =
  11. 11.12345678 × 9 + 9 =
  12. 12.12345679 × 27 =
  13. 13.37 × 9 =
  14. 14.12 × 9 + 3 =
  15. 15.37 × 27 =
  16. 16.37 × 6 =
  17. 17.12 × 8 + 2 =
  18. 18.1234567 × 9 + 8 =
  19. 19.1234 × 9 + 5 =
  20. 20.123456 × 9 + 7 =
  21. 21.123 × 9 + 4 =
  22. 22.12345679 × 81 =
  23. 23.12345679 × 36 =
  24. 24.111 × 111 =
  25. 25.12345679 × 45 =
  26. 26.37 × 21 =
  27. 27.1234 × 8 + 4 =
  28. 28.11 × 11 =
  29. 29.12345679 × 9 =
  30. 30.111111 × 111111 =
  31. 31.37 × 18 =
  32. 32.12345679 × 72 =
  33. 33.123456 × 8 + 6 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345678 × 8 + 8 =
  36. 36.1234567 × 8 + 7 =
  37. 37.37 × 15 =
  38. 38.1234 × 9 + 5 =
  39. 39.123456789 × 8 + 9 =
  40. 40.11 × 11 =

Answer key

  1. 987
  2. 444
  3. 98765
  4. 111
  5. 111111
  6. 1234321
  7. 123454321
  8. 666666666
  9. 222222222
  10. 888
  11. 111111111
  12. 333333333
  13. 333
  14. 111
  15. 999
  16. 222
  17. 98
  18. 11111111
  19. 11111
  20. 1111111
  21. 1111
  22. 999999999
  23. 444444444
  24. 12321
  25. 555555555
  26. 777
  27. 9876
  28. 121
  29. 111111111
  30. 12345654321
  31. 666
  32. 888888888
  33. 987654
  34. 9876543
  35. 98765432
  36. 9876543
  37. 555
  38. 11111
  39. 987654321
  40. 121

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