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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 600 · 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. 2.1234 × 9 + 5 =
  3. 3.123 × 8 + 3 =
  4. 4.12 × 8 + 2 =
  5. 5.37 × 6 =
  6. 6.123456 × 8 + 6 =
  7. 7.11111 × 11111 =
  8. 8.12345678 × 8 + 8 =
  9. 9.37 × 24 =
  10. 10.111111 × 111111 =
  11. 11.1111 × 1111 =
  12. 12.12345679 × 72 =
  13. 13.37 × 15 =
  14. 14.11 × 11 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 81 =
  18. 18.12345679 × 54 =
  19. 19.12345678 × 9 + 9 =
  20. 20.123456 × 9 + 7 =
  21. 21.12345679 × 27 =
  22. 22.12345679 × 63 =
  23. 23.12345 × 9 + 6 =
  24. 24.123 × 9 + 4 =
  25. 25.12 × 9 + 3 =
  26. 26.37 × 3 =
  27. 27.12345679 × 36 =
  28. 28.12345 × 8 + 5 =
  29. 29.111 × 111 =
  30. 30.37 × 21 =
  31. 31.1234 × 8 + 4 =
  32. 32.37 × 18 =
  33. 33.12345679 × 18 =
  34. 34.37 × 27 =
  35. 35.1234567 × 8 + 7 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12 × 9 + 3 =
  38. 38.37 × 12 =
  39. 39.37 × 3 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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