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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 479 · 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. 1.37 × 9 =
  2. 2.123 × 9 + 4 =
  3. 3.111 × 111 =
  4. 4.12345679 × 9 =
  5. 5.12 × 8 + 2 =
  6. 6.37 × 21 =
  7. 7.123 × 8 + 3 =
  8. 8.11 × 11 =
  9. 9.12345679 × 18 =
  10. 10.37 × 27 =
  11. 11.12 × 9 + 3 =
  12. 12.1234567 × 8 + 7 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 3 =
  15. 15.37 × 6 =
  16. 16.123456 × 8 + 6 =
  17. 17.1234 × 8 + 4 =
  18. 18.12345679 × 45 =
  19. 19.12345679 × 63 =
  20. 20.12345 × 8 + 5 =
  21. 21.11111 × 11111 =
  22. 22.111111 × 111111 =
  23. 23.37 × 15 =
  24. 24.12345 × 9 + 6 =
  25. 25.1111 × 1111 =
  26. 26.123456 × 9 + 7 =
  27. 27.37 × 24 =
  28. 28.12345679 × 54 =
  29. 29.12345679 × 81 =
  30. 30.37 × 18 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 72 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 18 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 18 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 12 =
  39. 39.12345679 × 27 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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