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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 622 · 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. 1.1234567 × 9 + 8 =
  2. 2.12345679 × 63 =
  3. 3.12345 × 8 + 5 =
  4. 4.111111 × 111111 =
  5. 5.12345679 × 9 =
  6. 6.123 × 8 + 3 =
  7. 7.37 × 21 =
  8. 8.1234 × 9 + 5 =
  9. 9.37 × 24 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 27 =
  12. 12.1111 × 1111 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 54 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345679 × 45 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345678 × 8 + 8 =
  19. 19.111 × 111 =
  20. 20.11 × 11 =
  21. 21.37 × 12 =
  22. 22.37 × 18 =
  23. 23.12 × 8 + 2 =
  24. 24.12345678 × 9 + 9 =
  25. 25.37 × 3 =
  26. 26.12345679 × 81 =
  27. 27.37 × 9 =
  28. 28.12 × 9 + 3 =
  29. 29.1234 × 8 + 4 =
  30. 30.11111 × 11111 =
  31. 31.12345679 × 18 =
  32. 32.12345679 × 63 =
  33. 33.123 × 9 + 4 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 27 =
  36. 36.12345679 × 27 =
  37. 37.37 × 6 =
  38. 38.37 × 15 =
  39. 39.111 × 111 =
  40. 40.12345679 × 36 =

Answer key

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

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