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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 148 · 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 × 12 =
  2. 2.12345678 × 9 + 9 =
  3. 3.37 × 3 =
  4. 4.11 × 11 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 81 =
  7. 7.111 × 111 =
  8. 8.37 × 15 =
  9. 9.12345679 × 18 =
  10. 10.1234 × 9 + 5 =
  11. 11.1234567 × 9 + 8 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 36 =
  14. 14.123456789 × 8 + 9 =
  15. 15.123 × 9 + 4 =
  16. 16.37 × 9 =
  17. 17.12345 × 8 + 5 =
  18. 18.11111 × 11111 =
  19. 19.12345679 × 63 =
  20. 20.12345679 × 27 =
  21. 21.1234567 × 8 + 7 =
  22. 22.123456 × 8 + 6 =
  23. 23.1234 × 8 + 4 =
  24. 24.37 × 6 =
  25. 25.12345 × 9 + 6 =
  26. 26.37 × 27 =
  27. 27.12345679 × 9 =
  28. 28.37 × 18 =
  29. 29.12345679 × 72 =
  30. 30.12345678 × 8 + 8 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 21 =
  33. 33.12 × 8 + 2 =
  34. 34.123 × 8 + 3 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 18 =
  37. 37.37 × 21 =
  38. 38.12345679 × 45 =
  39. 39.123 × 9 + 4 =
  40. 40.1234 × 9 + 5 =

Answer key

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

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