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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 50 · 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. 1.12345679 × 18 =
  2. 2.11 × 11 =
  3. 3.123 × 9 + 4 =
  4. 4.12345678 × 9 + 9 =
  5. 5.37 × 24 =
  6. 6.12345679 × 63 =
  7. 7.12345679 × 81 =
  8. 8.123 × 8 + 3 =
  9. 9.12345679 × 9 =
  10. 10.123456 × 9 + 7 =
  11. 11.37 × 27 =
  12. 12.12345 × 9 + 6 =
  13. 13.37 × 6 =
  14. 14.111 × 111 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 21 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12345679 × 36 =
  20. 20.12 × 8 + 2 =
  21. 21.12 × 9 + 3 =
  22. 22.1111 × 1111 =
  23. 23.12345 × 8 + 5 =
  24. 24.11111 × 11111 =
  25. 25.1234567 × 9 + 8 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 18 =
  28. 28.12345679 × 27 =
  29. 29.123456 × 8 + 6 =
  30. 30.111111 × 111111 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 15 =
  33. 33.37 × 24 =
  34. 34.37 × 3 =
  35. 35.37 × 9 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 54 =
  38. 38.37 × 24 =
  39. 39.11111 × 11111 =
  40. 40.37 × 3 =

Answer key

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

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