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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 257 · 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. 1.37 × 27 =
  2. 2.111111 × 111111 =
  3. 3.37 × 15 =
  4. 4.37 × 21 =
  5. 5.12345678 × 9 + 9 =
  6. 6.1234 × 9 + 5 =
  7. 7.12 × 8 + 2 =
  8. 8.1234567 × 8 + 7 =
  9. 9.12345679 × 54 =
  10. 10.12345679 × 63 =
  11. 11.123456 × 9 + 7 =
  12. 12.37 × 6 =
  13. 13.12345679 × 72 =
  14. 14.12345678 × 8 + 8 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 81 =
  17. 17.11111 × 11111 =
  18. 18.1111 × 1111 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12 × 9 + 3 =
  21. 21.12345679 × 18 =
  22. 22.37 × 12 =
  23. 23.111 × 111 =
  24. 24.12345679 × 27 =
  25. 25.123456789 × 8 + 9 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 45 =
  28. 28.37 × 3 =
  29. 29.11 × 11 =
  30. 30.12345 × 9 + 6 =
  31. 31.37 × 24 =
  32. 32.37 × 9 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 36 =
  35. 35.123456789 × 8 + 9 =
  36. 36.123 × 8 + 3 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 27 =
  39. 39.123456 × 8 + 6 =
  40. 40.37 × 21 =

Answer key

  1. 999
  2. 12345654321
  3. 555
  4. 777
  5. 111111111
  6. 11111
  7. 98
  8. 9876543
  9. 666666666
  10. 777777777
  11. 1111111
  12. 222
  13. 888888888
  14. 98765432
  15. 111111111
  16. 999999999
  17. 123454321
  18. 1234321
  19. 11111111
  20. 111
  21. 222222222
  22. 444
  23. 12321
  24. 333333333
  25. 987654321
  26. 1111
  27. 555555555
  28. 111
  29. 121
  30. 111111
  31. 888
  32. 333
  33. 9876
  34. 444444444
  35. 987654321
  36. 987
  37. 98765
  38. 999
  39. 987654
  40. 777

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