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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 208 · 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. 1.12345679 × 27 =
  2. 2.12 × 9 + 3 =
  3. 3.11 × 11 =
  4. 4.12345678 × 9 + 9 =
  5. 5.1234 × 8 + 4 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 72 =
  8. 8.12345679 × 9 =
  9. 9.37 × 21 =
  10. 10.37 × 18 =
  11. 11.37 × 3 =
  12. 12.37 × 6 =
  13. 13.12345 × 8 + 5 =
  14. 14.12345679 × 81 =
  15. 15.1234567 × 8 + 7 =
  16. 16.11111 × 11111 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 54 =
  19. 19.123456 × 8 + 6 =
  20. 20.12 × 8 + 2 =
  21. 21.37 × 9 =
  22. 22.123456 × 9 + 7 =
  23. 23.37 × 12 =
  24. 24.123 × 8 + 3 =
  25. 25.12345679 × 18 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 36 =
  28. 28.37 × 24 =
  29. 29.12345679 × 63 =
  30. 30.37 × 18 =
  31. 31.1111 × 1111 =
  32. 32.123456789 × 8 + 9 =
  33. 33.37 × 27 =
  34. 34.12345 × 9 + 6 =
  35. 35.11 × 11 =
  36. 36.12345679 × 45 =
  37. 37.1234567 × 9 + 8 =
  38. 38.111 × 111 =
  39. 39.37 × 15 =
  40. 40.37 × 21 =

Answer key

  1. 333333333
  2. 111
  3. 121
  4. 111111111
  5. 9876
  6. 12345654321
  7. 888888888
  8. 111111111
  9. 777
  10. 666
  11. 111
  12. 222
  13. 98765
  14. 999999999
  15. 9876543
  16. 123454321
  17. 11111
  18. 666666666
  19. 987654
  20. 98
  21. 333
  22. 1111111
  23. 444
  24. 987
  25. 222222222
  26. 1111
  27. 444444444
  28. 888
  29. 777777777
  30. 666
  31. 1234321
  32. 987654321
  33. 999
  34. 111111
  35. 121
  36. 555555555
  37. 11111111
  38. 12321
  39. 555
  40. 777

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