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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 67 · 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. 2.37 × 3 =
  3. 3.1111 × 1111 =
  4. 4.111 × 111 =
  5. 5.123456 × 9 + 7 =
  6. 6.111111 × 111111 =
  7. 7.12345 × 9 + 6 =
  8. 8.12345679 × 81 =
  9. 9.123 × 8 + 3 =
  10. 10.12345679 × 45 =
  11. 11.37 × 27 =
  12. 12.12 × 8 + 2 =
  13. 13.37 × 9 =
  14. 14.11 × 11 =
  15. 15.12345678 × 8 + 8 =
  16. 16.12345679 × 18 =
  17. 17.37 × 24 =
  18. 18.12345679 × 27 =
  19. 19.12345679 × 72 =
  20. 20.12 × 9 + 3 =
  21. 21.123456789 × 8 + 9 =
  22. 22.12345679 × 36 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345679 × 63 =
  25. 25.1234 × 8 + 4 =
  26. 26.37 × 21 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 9 =
  29. 29.11111 × 11111 =
  30. 30.1234 × 9 + 5 =
  31. 31.37 × 12 =
  32. 32.1234567 × 8 + 7 =
  33. 33.37 × 15 =
  34. 34.12345679 × 81 =
  35. 35.12345679 × 54 =
  36. 36.123 × 9 + 4 =
  37. 37.123456 × 8 + 6 =
  38. 38.37 × 18 =
  39. 39.123 × 8 + 3 =
  40. 40.37 × 6 =

Answer key

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

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