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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 291 · 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. 1.123456 × 8 + 6 =
  2. 2.12345679 × 81 =
  3. 3.37 × 27 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 9 =
  6. 6.123 × 9 + 4 =
  7. 7.12345679 × 63 =
  8. 8.123456 × 9 + 7 =
  9. 9.12345 × 8 + 5 =
  10. 10.37 × 6 =
  11. 11.123456789 × 8 + 9 =
  12. 12.11111 × 11111 =
  13. 13.111 × 111 =
  14. 14.12345678 × 8 + 8 =
  15. 15.11 × 11 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345679 × 27 =
  18. 18.1234 × 9 + 5 =
  19. 19.37 × 12 =
  20. 20.111111 × 111111 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 72 =
  23. 23.12345679 × 36 =
  24. 24.37 × 3 =
  25. 25.37 × 24 =
  26. 26.123 × 8 + 3 =
  27. 27.12345679 × 45 =
  28. 28.1234567 × 9 + 8 =
  29. 29.37 × 18 =
  30. 30.12 × 9 + 3 =
  31. 31.12345678 × 9 + 9 =
  32. 32.37 × 9 =
  33. 33.37 × 15 =
  34. 34.1234 × 8 + 4 =
  35. 35.12345679 × 18 =
  36. 36.37 × 21 =
  37. 37.12345679 × 63 =
  38. 38.12345679 × 54 =
  39. 39.1111 × 1111 =
  40. 40.1234 × 8 + 4 =

Answer key

  1. 987654
  2. 999999999
  3. 999
  4. 9876543
  5. 111111111
  6. 1111
  7. 777777777
  8. 1111111
  9. 98765
  10. 222
  11. 987654321
  12. 123454321
  13. 12321
  14. 98765432
  15. 121
  16. 111111
  17. 333333333
  18. 11111
  19. 444
  20. 12345654321
  21. 98
  22. 888888888
  23. 444444444
  24. 111
  25. 888
  26. 987
  27. 555555555
  28. 11111111
  29. 666
  30. 111
  31. 111111111
  32. 333
  33. 555
  34. 9876
  35. 222222222
  36. 777
  37. 777777777
  38. 666666666
  39. 1234321
  40. 9876

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