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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 10 · 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. 1.12345 × 9 + 6 =
  2. 2.1234 × 8 + 4 =
  3. 3.12345679 × 9 =
  4. 4.123456789 × 8 + 9 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345678 × 8 + 8 =
  7. 7.37 × 6 =
  8. 8.37 × 3 =
  9. 9.37 × 21 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 81 =
  12. 12.12345679 × 27 =
  13. 13.1234 × 9 + 5 =
  14. 14.11 × 11 =
  15. 15.12 × 8 + 2 =
  16. 16.12345679 × 18 =
  17. 17.12 × 9 + 3 =
  18. 18.12345 × 8 + 5 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345679 × 54 =
  21. 21.1111 × 1111 =
  22. 22.37 × 18 =
  23. 23.123 × 9 + 4 =
  24. 24.12345679 × 72 =
  25. 25.37 × 27 =
  26. 26.123456 × 8 + 6 =
  27. 27.111 × 111 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 9 =
  30. 30.12345679 × 36 =
  31. 31.123 × 8 + 3 =
  32. 32.12345679 × 45 =
  33. 33.11111 × 11111 =
  34. 34.37 × 15 =
  35. 35.12345679 × 18 =
  36. 36.111111 × 111111 =
  37. 37.12 × 8 + 2 =
  38. 38.11 × 11 =
  39. 39.12345678 × 9 + 9 =
  40. 40.37 × 12 =

Answer key

  1. 111111
  2. 9876
  3. 111111111
  4. 987654321
  5. 11111111
  6. 98765432
  7. 222
  8. 111
  9. 777
  10. 9876543
  11. 999999999
  12. 333333333
  13. 11111
  14. 121
  15. 98
  16. 222222222
  17. 111
  18. 98765
  19. 1111111
  20. 666666666
  21. 1234321
  22. 666
  23. 1111
  24. 888888888
  25. 999
  26. 987654
  27. 12321
  28. 111111111
  29. 333
  30. 444444444
  31. 987
  32. 555555555
  33. 123454321
  34. 555
  35. 222222222
  36. 12345654321
  37. 98
  38. 121
  39. 111111111
  40. 444

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