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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 300 · 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. 1.123456 × 9 + 7 =
  2. 2.111111 × 111111 =
  3. 3.37 × 27 =
  4. 4.1234 × 9 + 5 =
  5. 5.12345679 × 54 =
  6. 6.123456 × 8 + 6 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12 × 9 + 3 =
  9. 9.123456789 × 8 + 9 =
  10. 10.123 × 9 + 4 =
  11. 11.12345 × 8 + 5 =
  12. 12.123 × 8 + 3 =
  13. 13.11 × 11 =
  14. 14.1234 × 8 + 4 =
  15. 15.1111 × 1111 =
  16. 16.37 × 6 =
  17. 17.12345679 × 36 =
  18. 18.37 × 9 =
  19. 19.37 × 3 =
  20. 20.37 × 18 =
  21. 21.12345679 × 18 =
  22. 22.37 × 15 =
  23. 23.37 × 24 =
  24. 24.1234567 × 9 + 8 =
  25. 25.37 × 12 =
  26. 26.12345679 × 27 =
  27. 27.37 × 21 =
  28. 28.12345679 × 72 =
  29. 29.12345679 × 81 =
  30. 30.12 × 8 + 2 =
  31. 31.12345 × 9 + 6 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 9 =
  34. 34.12345679 × 45 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345678 × 8 + 8 =
  37. 37.12345679 × 36 =
  38. 38.12 × 9 + 3 =
  39. 39.37 × 9 =
  40. 40.11 × 11 =

Answer key

  1. 1111111
  2. 12345654321
  3. 999
  4. 11111
  5. 666666666
  6. 987654
  7. 111111111
  8. 111
  9. 987654321
  10. 1111
  11. 98765
  12. 987
  13. 121
  14. 9876
  15. 1234321
  16. 222
  17. 444444444
  18. 333
  19. 111
  20. 666
  21. 222222222
  22. 555
  23. 888
  24. 11111111
  25. 444
  26. 333333333
  27. 777
  28. 888888888
  29. 999999999
  30. 98
  31. 111111
  32. 123454321
  33. 111111111
  34. 555555555
  35. 9876543
  36. 98765432
  37. 444444444
  38. 111
  39. 333
  40. 121

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