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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 268 · 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. 1.123 × 9 + 4 =
  2. 2.11111 × 11111 =
  3. 3.12345679 × 36 =
  4. 4.123 × 8 + 3 =
  5. 5.37 × 12 =
  6. 6.12345679 × 54 =
  7. 7.12345679 × 81 =
  8. 8.1234 × 8 + 4 =
  9. 9.37 × 21 =
  10. 10.11 × 11 =
  11. 11.37 × 3 =
  12. 12.1234567 × 9 + 8 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345678 × 9 + 9 =
  15. 15.111111 × 111111 =
  16. 16.123456 × 9 + 7 =
  17. 17.37 × 18 =
  18. 18.12345679 × 27 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345 × 8 + 5 =
  21. 21.111 × 111 =
  22. 22.1111 × 1111 =
  23. 23.12345679 × 9 =
  24. 24.12345679 × 45 =
  25. 25.37 × 24 =
  26. 26.12345679 × 36 =
  27. 27.37 × 9 =
  28. 28.12 × 9 + 3 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12345679 × 18 =
  31. 31.12345679 × 63 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12 × 8 + 2 =
  34. 34.12345 × 9 + 6 =
  35. 35.37 × 15 =
  36. 36.37 × 27 =
  37. 37.12345679 × 72 =
  38. 38.37 × 21 =
  39. 39.11111 × 11111 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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