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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 101 · 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. 2.1234567 × 9 + 8 =
  3. 3.11 × 11 =
  4. 4.1234567 × 8 + 7 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 45 =
  7. 7.11111 × 11111 =
  8. 8.37 × 15 =
  9. 9.12345679 × 72 =
  10. 10.37 × 12 =
  11. 11.1111 × 1111 =
  12. 12.12345 × 8 + 5 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 27 =
  15. 15.12345679 × 36 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 18 =
  18. 18.12 × 9 + 3 =
  19. 19.123 × 9 + 4 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 3 =
  22. 22.12345679 × 9 =
  23. 23.37 × 21 =
  24. 24.12345678 × 8 + 8 =
  25. 25.12 × 8 + 2 =
  26. 26.111 × 111 =
  27. 27.12345 × 9 + 6 =
  28. 28.1234 × 9 + 5 =
  29. 29.37 × 24 =
  30. 30.123 × 8 + 3 =
  31. 31.12345679 × 63 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 27 =
  34. 34.37 × 6 =
  35. 35.1234 × 8 + 4 =
  36. 36.1234 × 8 + 4 =
  37. 37.37 × 18 =
  38. 38.12345679 × 54 =
  39. 39.37 × 12 =
  40. 40.37 × 9 =

Answer key

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

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