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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 586 · 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 × 9 + 5 =
  2. 2.123 × 9 + 4 =
  3. 3.1234 × 8 + 4 =
  4. 4.1234567 × 8 + 7 =
  5. 5.123456 × 8 + 6 =
  6. 6.37 × 27 =
  7. 7.12 × 8 + 2 =
  8. 8.37 × 21 =
  9. 9.12345679 × 27 =
  10. 10.12345679 × 9 =
  11. 11.11111 × 11111 =
  12. 12.123456789 × 8 + 9 =
  13. 13.37 × 3 =
  14. 14.12345678 × 9 + 9 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 45 =
  17. 17.1234567 × 9 + 8 =
  18. 18.111 × 111 =
  19. 19.37 × 15 =
  20. 20.12345679 × 18 =
  21. 21.37 × 18 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 36 =
  25. 25.37 × 12 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 81 =
  28. 28.12345 × 9 + 6 =
  29. 29.11 × 11 =
  30. 30.12 × 9 + 3 =
  31. 31.111111 × 111111 =
  32. 32.12345679 × 72 =
  33. 33.37 × 9 =
  34. 34.37 × 6 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345679 × 63 =
  37. 37.37 × 24 =
  38. 38.12345679 × 36 =
  39. 39.111111 × 111111 =
  40. 40.12345 × 8 + 5 =

Answer key

  1. 11111
  2. 1111
  3. 9876
  4. 9876543
  5. 987654
  6. 999
  7. 98
  8. 777
  9. 333333333
  10. 111111111
  11. 123454321
  12. 987654321
  13. 111
  14. 111111111
  15. 987
  16. 555555555
  17. 11111111
  18. 12321
  19. 555
  20. 222222222
  21. 666
  22. 1111111
  23. 666666666
  24. 444444444
  25. 444
  26. 1234321
  27. 999999999
  28. 111111
  29. 121
  30. 111
  31. 12345654321
  32. 888888888
  33. 333
  34. 222
  35. 98765432
  36. 777777777
  37. 888
  38. 444444444
  39. 12345654321
  40. 98765

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