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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 580 · 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 × 27 =
  2. 2.37 × 6 =
  3. 3.12345 × 8 + 5 =
  4. 4.123 × 9 + 4 =
  5. 5.1234 × 9 + 5 =
  6. 6.11111 × 11111 =
  7. 7.37 × 21 =
  8. 8.12 × 9 + 3 =
  9. 9.12345679 × 81 =
  10. 10.123456 × 8 + 6 =
  11. 11.111111 × 111111 =
  12. 12.12345679 × 18 =
  13. 13.12345678 × 9 + 9 =
  14. 14.11 × 11 =
  15. 15.12345679 × 63 =
  16. 16.12345679 × 27 =
  17. 17.111 × 111 =
  18. 18.37 × 24 =
  19. 19.37 × 15 =
  20. 20.37 × 9 =
  21. 21.37 × 3 =
  22. 22.12345679 × 45 =
  23. 23.12345679 × 72 =
  24. 24.123 × 8 + 3 =
  25. 25.12 × 8 + 2 =
  26. 26.12345678 × 8 + 8 =
  27. 27.1234567 × 8 + 7 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 36 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 54 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 9 =
  34. 34.37 × 12 =
  35. 35.1234567 × 9 + 8 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 18 =
  38. 38.12345 × 9 + 6 =
  39. 39.12 × 9 + 3 =
  40. 40.123 × 9 + 4 =

Answer key

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

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