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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 224 · 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. 1.12345679 × 36 =
  2. 2.12345679 × 81 =
  3. 3.37 × 15 =
  4. 4.1234 × 8 + 4 =
  5. 5.12345678 × 8 + 8 =
  6. 6.123456 × 8 + 6 =
  7. 7.37 × 6 =
  8. 8.12345679 × 9 =
  9. 9.111 × 111 =
  10. 10.11111 × 11111 =
  11. 11.12345679 × 72 =
  12. 12.12345679 × 63 =
  13. 13.12345679 × 18 =
  14. 14.37 × 21 =
  15. 15.123456 × 9 + 7 =
  16. 16.37 × 18 =
  17. 17.1234567 × 9 + 8 =
  18. 18.37 × 9 =
  19. 19.12345679 × 54 =
  20. 20.12 × 8 + 2 =
  21. 21.37 × 27 =
  22. 22.37 × 3 =
  23. 23.12345 × 8 + 5 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 27 =
  26. 26.12 × 9 + 3 =
  27. 27.12345678 × 9 + 9 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 45 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 27 =
  32. 32.37 × 24 =
  33. 33.12345 × 9 + 6 =
  34. 34.11 × 11 =
  35. 35.1234 × 9 + 5 =
  36. 36.1234567 × 8 + 7 =
  37. 37.12 × 9 + 3 =
  38. 38.12345 × 9 + 6 =
  39. 39.123 × 8 + 3 =
  40. 40.11111 × 11111 =

Answer key

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

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