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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 3 · 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. 1.11 × 11 =
  2. 2.11111 × 11111 =
  3. 3.37 × 15 =
  4. 4.37 × 9 =
  5. 5.12345678 × 9 + 9 =
  6. 6.37 × 27 =
  7. 7.1111 × 1111 =
  8. 8.1234567 × 8 + 7 =
  9. 9.37 × 3 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12345679 × 54 =
  12. 12.37 × 24 =
  13. 13.12345678 × 8 + 8 =
  14. 14.111 × 111 =
  15. 15.12345679 × 72 =
  16. 16.12345679 × 45 =
  17. 17.12345679 × 18 =
  18. 18.12345679 × 63 =
  19. 19.37 × 6 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 21 =
  22. 22.12345 × 8 + 5 =
  23. 23.111111 × 111111 =
  24. 24.123456 × 8 + 6 =
  25. 25.12 × 8 + 2 =
  26. 26.12345679 × 81 =
  27. 27.123 × 8 + 3 =
  28. 28.12345679 × 9 =
  29. 29.37 × 18 =
  30. 30.12345 × 9 + 6 =
  31. 31.123456 × 9 + 7 =
  32. 32.37 × 12 =
  33. 33.1234 × 9 + 5 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 18 =
  36. 36.12 × 9 + 3 =
  37. 37.12345679 × 27 =
  38. 38.12345 × 8 + 5 =
  39. 39.11 × 11 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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