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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 243 · 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 × 6 =
  2. 2.123 × 8 + 3 =
  3. 3.11111 × 11111 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 21 =
  6. 6.123456789 × 8 + 9 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345679 × 9 =
  9. 9.12345679 × 27 =
  10. 10.11 × 11 =
  11. 11.12345679 × 72 =
  12. 12.123456 × 9 + 7 =
  13. 13.37 × 24 =
  14. 14.37 × 9 =
  15. 15.1111 × 1111 =
  16. 16.37 × 27 =
  17. 17.123456 × 8 + 6 =
  18. 18.111 × 111 =
  19. 19.12 × 9 + 3 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 9 =
  22. 22.37 × 15 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12345679 × 63 =
  25. 25.37 × 12 =
  26. 26.12345679 × 54 =
  27. 27.12345679 × 36 =
  28. 28.12345679 × 45 =
  29. 29.12345679 × 18 =
  30. 30.12 × 8 + 2 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345 × 9 + 6 =
  33. 33.1234 × 8 + 4 =
  34. 34.37 × 18 =
  35. 35.12345679 × 81 =
  36. 36.123 × 8 + 3 =
  37. 37.12345678 × 9 + 9 =
  38. 38.37 × 9 =
  39. 39.37 × 18 =
  40. 40.11111 × 11111 =

Answer key

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

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