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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 614 · 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 × 24 =
  2. 2.123 × 8 + 3 =
  3. 3.111 × 111 =
  4. 4.12345 × 9 + 6 =
  5. 5.12 × 9 + 3 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 9 =
  8. 8.12345679 × 9 =
  9. 9.37 × 18 =
  10. 10.12345679 × 63 =
  11. 11.37 × 3 =
  12. 12.12345679 × 36 =
  13. 13.37 × 12 =
  14. 14.37 × 6 =
  15. 15.12 × 8 + 2 =
  16. 16.12345 × 8 + 5 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345678 × 9 + 9 =
  19. 19.11 × 11 =
  20. 20.12345679 × 54 =
  21. 21.1111 × 1111 =
  22. 22.37 × 21 =
  23. 23.123456 × 8 + 6 =
  24. 24.1234 × 9 + 5 =
  25. 25.12345679 × 45 =
  26. 26.11111 × 11111 =
  27. 27.37 × 27 =
  28. 28.12345679 × 27 =
  29. 29.37 × 15 =
  30. 30.111111 × 111111 =
  31. 31.12345679 × 18 =
  32. 32.123 × 9 + 4 =
  33. 33.37 × 21 =
  34. 34.123456 × 9 + 7 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345678 × 8 + 8 =
  37. 37.37 × 6 =
  38. 38.111 × 111 =
  39. 39.12345679 × 72 =
  40. 40.37 × 3 =

Answer key

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

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