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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 755 · 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. 1.12345678 × 8 + 8 =
  2. 2.123456789 × 8 + 9 =
  3. 3.37 × 18 =
  4. 4.12345679 × 63 =
  5. 5.37 × 15 =
  6. 6.11 × 11 =
  7. 7.12345679 × 81 =
  8. 8.11111 × 11111 =
  9. 9.12345679 × 36 =
  10. 10.111111 × 111111 =
  11. 11.12345 × 8 + 5 =
  12. 12.1234 × 9 + 5 =
  13. 13.12345679 × 18 =
  14. 14.123456 × 8 + 6 =
  15. 15.37 × 6 =
  16. 16.37 × 27 =
  17. 17.12345678 × 9 + 9 =
  18. 18.37 × 24 =
  19. 19.1111 × 1111 =
  20. 20.12345679 × 9 =
  21. 21.1234 × 8 + 4 =
  22. 22.12 × 9 + 3 =
  23. 23.12345679 × 72 =
  24. 24.123 × 8 + 3 =
  25. 25.12345679 × 45 =
  26. 26.111 × 111 =
  27. 27.37 × 9 =
  28. 28.37 × 12 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12345679 × 27 =
  31. 31.12345 × 9 + 6 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12345679 × 54 =
  34. 34.111 × 111 =
  35. 35.12 × 8 + 2 =
  36. 36.11111 × 11111 =
  37. 37.12 × 9 + 3 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 3 =
  40. 40.111111 × 111111 =

Answer key

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

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