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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 112 · 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. 1.12 × 9 + 3 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12 × 8 + 2 =
  4. 4.12345679 × 36 =
  5. 5.37 × 3 =
  6. 6.12345679 × 54 =
  7. 7.37 × 27 =
  8. 8.12345679 × 45 =
  9. 9.12345679 × 27 =
  10. 10.111 × 111 =
  11. 11.12345679 × 81 =
  12. 12.1234 × 8 + 4 =
  13. 13.123 × 8 + 3 =
  14. 14.12345679 × 63 =
  15. 15.11 × 11 =
  16. 16.11111 × 11111 =
  17. 17.37 × 18 =
  18. 18.37 × 6 =
  19. 19.1111 × 1111 =
  20. 20.37 × 15 =
  21. 21.12345679 × 18 =
  22. 22.37 × 24 =
  23. 23.111111 × 111111 =
  24. 24.123 × 9 + 4 =
  25. 25.123456 × 9 + 7 =
  26. 26.1234567 × 9 + 8 =
  27. 27.37 × 9 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345 × 8 + 5 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12345679 × 9 =
  32. 32.1234567 × 8 + 7 =
  33. 33.37 × 12 =
  34. 34.37 × 21 =
  35. 35.123456 × 8 + 6 =
  36. 36.12345 × 9 + 6 =
  37. 37.1234 × 9 + 5 =
  38. 38.111 × 111 =
  39. 39.37 × 21 =
  40. 40.12345679 × 36 =

Answer key

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

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