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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 109 · 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. 1.1234567 × 8 + 7 =
  2. 2.12345679 × 72 =
  3. 3.12345 × 8 + 5 =
  4. 4.11 × 11 =
  5. 5.37 × 21 =
  6. 6.37 × 24 =
  7. 7.1111 × 1111 =
  8. 8.12345679 × 81 =
  9. 9.37 × 6 =
  10. 10.12345679 × 27 =
  11. 11.123 × 8 + 3 =
  12. 12.12345679 × 63 =
  13. 13.37 × 18 =
  14. 14.111111 × 111111 =
  15. 15.12345 × 9 + 6 =
  16. 16.37 × 3 =
  17. 17.1234567 × 9 + 8 =
  18. 18.123456 × 9 + 7 =
  19. 19.11111 × 11111 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 12 =
  22. 22.37 × 9 =
  23. 23.123456 × 8 + 6 =
  24. 24.12 × 9 + 3 =
  25. 25.12 × 8 + 2 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 18 =
  28. 28.1234 × 8 + 4 =
  29. 29.37 × 27 =
  30. 30.12345679 × 54 =
  31. 31.12345678 × 8 + 8 =
  32. 32.123456789 × 8 + 9 =
  33. 33.111 × 111 =
  34. 34.37 × 15 =
  35. 35.12345679 × 9 =
  36. 36.1234 × 9 + 5 =
  37. 37.12345679 × 36 =
  38. 38.37 × 12 =
  39. 39.12345679 × 45 =
  40. 40.37 × 15 =

Answer key

  1. 9876543
  2. 888888888
  3. 98765
  4. 121
  5. 777
  6. 888
  7. 1234321
  8. 999999999
  9. 222
  10. 333333333
  11. 987
  12. 777777777
  13. 666
  14. 12345654321
  15. 111111
  16. 111
  17. 11111111
  18. 1111111
  19. 123454321
  20. 1111
  21. 444
  22. 333
  23. 987654
  24. 111
  25. 98
  26. 111111111
  27. 222222222
  28. 9876
  29. 999
  30. 666666666
  31. 98765432
  32. 987654321
  33. 12321
  34. 555
  35. 111111111
  36. 11111
  37. 444444444
  38. 444
  39. 555555555
  40. 555

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