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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 60 · 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 × 18 =
  2. 2.12345679 × 72 =
  3. 3.11 × 11 =
  4. 4.12345679 × 18 =
  5. 5.11111 × 11111 =
  6. 6.12 × 9 + 3 =
  7. 7.111111 × 111111 =
  8. 8.37 × 6 =
  9. 9.123456 × 9 + 7 =
  10. 10.37 × 24 =
  11. 11.111 × 111 =
  12. 12.12345679 × 9 =
  13. 13.1234567 × 8 + 7 =
  14. 14.12345679 × 45 =
  15. 15.12345679 × 27 =
  16. 16.37 × 9 =
  17. 17.12 × 8 + 2 =
  18. 18.12345679 × 63 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12345 × 8 + 5 =
  22. 22.37 × 27 =
  23. 23.123 × 9 + 4 =
  24. 24.12345679 × 36 =
  25. 25.12345679 × 81 =
  26. 26.37 × 3 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 54 =
  29. 29.37 × 12 =
  30. 30.1234567 × 9 + 8 =
  31. 31.37 × 15 =
  32. 32.12345 × 9 + 6 =
  33. 33.123 × 8 + 3 =
  34. 34.1234 × 8 + 4 =
  35. 35.123456789 × 8 + 9 =
  36. 36.37 × 21 =
  37. 37.1111 × 1111 =
  38. 38.12345679 × 72 =
  39. 39.123456 × 8 + 6 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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