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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 566 · 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. 2.12345678 × 8 + 8 =
  3. 3.37 × 21 =
  4. 4.12345679 × 27 =
  5. 5.111111 × 111111 =
  6. 6.111 × 111 =
  7. 7.12345679 × 54 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 9 =
  11. 11.37 × 3 =
  12. 12.1234 × 8 + 4 =
  13. 13.37 × 12 =
  14. 14.12345678 × 9 + 9 =
  15. 15.37 × 6 =
  16. 16.11 × 11 =
  17. 17.123456 × 9 + 7 =
  18. 18.37 × 15 =
  19. 19.37 × 18 =
  20. 20.12345679 × 72 =
  21. 21.12345 × 9 + 6 =
  22. 22.1111 × 1111 =
  23. 23.37 × 27 =
  24. 24.1234 × 9 + 5 =
  25. 25.123 × 8 + 3 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345679 × 36 =
  28. 28.12 × 9 + 3 =
  29. 29.123 × 9 + 4 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345679 × 81 =
  32. 32.12345679 × 81 =
  33. 33.12345679 × 45 =
  34. 34.37 × 24 =
  35. 35.1234567 × 8 + 7 =
  36. 36.123456789 × 8 + 9 =
  37. 37.37 × 18 =
  38. 38.12345679 × 18 =
  39. 39.12345679 × 72 =
  40. 40.11111 × 11111 =

Answer key

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

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