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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 752 · 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. 1.123456789 × 8 + 9 =
  2. 2.12 × 9 + 3 =
  3. 3.37 × 3 =
  4. 4.12345679 × 63 =
  5. 5.12345679 × 54 =
  6. 6.123456 × 9 + 7 =
  7. 7.123456 × 8 + 6 =
  8. 8.1111 × 1111 =
  9. 9.12 × 8 + 2 =
  10. 10.37 × 24 =
  11. 11.123 × 9 + 4 =
  12. 12.12345 × 8 + 5 =
  13. 13.11 × 11 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12345679 × 45 =
  16. 16.12345679 × 9 =
  17. 17.1234567 × 9 + 8 =
  18. 18.12345678 × 9 + 9 =
  19. 19.12345679 × 18 =
  20. 20.37 × 6 =
  21. 21.37 × 27 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 81 =
  24. 24.37 × 12 =
  25. 25.111 × 111 =
  26. 26.111111 × 111111 =
  27. 27.1234 × 8 + 4 =
  28. 28.37 × 9 =
  29. 29.12345678 × 8 + 8 =
  30. 30.37 × 18 =
  31. 31.37 × 15 =
  32. 32.12345679 × 27 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 36 =
  35. 35.123 × 8 + 3 =
  36. 36.12345679 × 72 =
  37. 37.37 × 21 =
  38. 38.11111 × 11111 =
  39. 39.1234 × 8 + 4 =
  40. 40.12345679 × 18 =

Answer key

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

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