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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 344 · 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. 1.37 × 21 =
  2. 2.12 × 9 + 3 =
  3. 3.123 × 9 + 4 =
  4. 4.12345 × 8 + 5 =
  5. 5.1234 × 8 + 4 =
  6. 6.1234567 × 8 + 7 =
  7. 7.12345679 × 36 =
  8. 8.37 × 15 =
  9. 9.11 × 11 =
  10. 10.12345679 × 72 =
  11. 11.12345679 × 18 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345679 × 45 =
  14. 14.12345679 × 63 =
  15. 15.123456 × 8 + 6 =
  16. 16.37 × 24 =
  17. 17.1234567 × 9 + 8 =
  18. 18.111 × 111 =
  19. 19.12 × 8 + 2 =
  20. 20.37 × 18 =
  21. 21.12345678 × 9 + 9 =
  22. 22.12345 × 9 + 6 =
  23. 23.37 × 27 =
  24. 24.123456 × 9 + 7 =
  25. 25.37 × 12 =
  26. 26.12345679 × 27 =
  27. 27.37 × 3 =
  28. 28.37 × 6 =
  29. 29.12345679 × 9 =
  30. 30.12345679 × 81 =
  31. 31.1111 × 1111 =
  32. 32.1234 × 9 + 5 =
  33. 33.11111 × 11111 =
  34. 34.123 × 8 + 3 =
  35. 35.111111 × 111111 =
  36. 36.12345679 × 63 =
  37. 37.12 × 8 + 2 =
  38. 38.37 × 9 =
  39. 39.12 × 8 + 2 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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