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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 59 · 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. 1.111111 × 111111 =
  2. 2.12345679 × 45 =
  3. 3.37 × 27 =
  4. 4.12345679 × 18 =
  5. 5.111 × 111 =
  6. 6.12345678 × 9 + 9 =
  7. 7.37 × 18 =
  8. 8.37 × 6 =
  9. 9.37 × 24 =
  10. 10.123456 × 9 + 7 =
  11. 11.11 × 11 =
  12. 12.12345679 × 63 =
  13. 13.37 × 3 =
  14. 14.12345678 × 8 + 8 =
  15. 15.123456 × 8 + 6 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345679 × 36 =
  18. 18.37 × 21 =
  19. 19.12 × 8 + 2 =
  20. 20.37 × 12 =
  21. 21.11111 × 11111 =
  22. 22.1234567 × 8 + 7 =
  23. 23.1111 × 1111 =
  24. 24.37 × 15 =
  25. 25.12345679 × 81 =
  26. 26.12345679 × 9 =
  27. 27.123 × 9 + 4 =
  28. 28.12345679 × 27 =
  29. 29.12345 × 9 + 6 =
  30. 30.12345679 × 54 =
  31. 31.37 × 9 =
  32. 32.12345679 × 72 =
  33. 33.123 × 8 + 3 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12 × 8 + 2 =
  36. 36.111 × 111 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345679 × 18 =
  39. 39.1234 × 9 + 5 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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