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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 541 · 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 × 12 =
  2. 2.1234 × 9 + 5 =
  3. 3.1234567 × 9 + 8 =
  4. 4.37 × 27 =
  5. 5.123456789 × 8 + 9 =
  6. 6.37 × 6 =
  7. 7.111 × 111 =
  8. 8.12345679 × 45 =
  9. 9.11111 × 11111 =
  10. 10.1234567 × 8 + 7 =
  11. 11.111111 × 111111 =
  12. 12.123 × 9 + 4 =
  13. 13.12345679 × 63 =
  14. 14.12345678 × 9 + 9 =
  15. 15.1111 × 1111 =
  16. 16.1234 × 8 + 4 =
  17. 17.12 × 9 + 3 =
  18. 18.12345679 × 36 =
  19. 19.37 × 3 =
  20. 20.11 × 11 =
  21. 21.12345679 × 72 =
  22. 22.12 × 8 + 2 =
  23. 23.12345679 × 18 =
  24. 24.123 × 8 + 3 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345679 × 9 =
  27. 27.37 × 21 =
  28. 28.12345679 × 27 =
  29. 29.37 × 9 =
  30. 30.123456 × 9 + 7 =
  31. 31.37 × 18 =
  32. 32.12345 × 8 + 5 =
  33. 33.12345678 × 8 + 8 =
  34. 34.123456 × 8 + 6 =
  35. 35.111 × 111 =
  36. 36.12345679 × 18 =
  37. 37.37 × 15 =
  38. 38.12345679 × 54 =
  39. 39.37 × 3 =
  40. 40.123 × 9 + 4 =

Answer key

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

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