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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 267 · 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. 2.37 × 6 =
  3. 3.37 × 12 =
  4. 4.123456 × 9 + 7 =
  5. 5.1234567 × 8 + 7 =
  6. 6.111111 × 111111 =
  7. 7.12345679 × 81 =
  8. 8.12345679 × 18 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 9 =
  11. 11.12345679 × 36 =
  12. 12.12 × 8 + 2 =
  13. 13.123 × 8 + 3 =
  14. 14.12345679 × 63 =
  15. 15.1234567 × 9 + 8 =
  16. 16.12345679 × 45 =
  17. 17.111 × 111 =
  18. 18.12345679 × 72 =
  19. 19.37 × 15 =
  20. 20.37 × 3 =
  21. 21.12345679 × 54 =
  22. 22.11 × 11 =
  23. 23.12345679 × 27 =
  24. 24.123456789 × 8 + 9 =
  25. 25.123 × 9 + 4 =
  26. 26.37 × 24 =
  27. 27.11111 × 11111 =
  28. 28.37 × 21 =
  29. 29.12345 × 9 + 6 =
  30. 30.1234 × 8 + 4 =
  31. 31.37 × 18 =
  32. 32.12345678 × 9 + 9 =
  33. 33.1111 × 1111 =
  34. 34.1234 × 9 + 5 =
  35. 35.37 × 27 =
  36. 36.12345678 × 8 + 8 =
  37. 37.37 × 9 =
  38. 38.37 × 27 =
  39. 39.12345679 × 72 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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