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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 549 · 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. 2.123 × 8 + 3 =
  3. 3.111 × 111 =
  4. 4.12345679 × 54 =
  5. 5.1111 × 1111 =
  6. 6.12 × 9 + 3 =
  7. 7.11111 × 11111 =
  8. 8.37 × 12 =
  9. 9.12345679 × 27 =
  10. 10.123456 × 8 + 6 =
  11. 11.37 × 6 =
  12. 12.12345 × 9 + 6 =
  13. 13.12345679 × 9 =
  14. 14.1234567 × 8 + 7 =
  15. 15.111111 × 111111 =
  16. 16.1234567 × 9 + 8 =
  17. 17.12345679 × 63 =
  18. 18.37 × 9 =
  19. 19.123 × 9 + 4 =
  20. 20.37 × 24 =
  21. 21.12345678 × 9 + 9 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 45 =
  24. 24.37 × 15 =
  25. 25.12 × 8 + 2 =
  26. 26.37 × 27 =
  27. 27.123456 × 9 + 7 =
  28. 28.11111 × 11111 =
  29. 29.12345679 × 18 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345679 × 36 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 3 =
  35. 35.12345679 × 81 =
  36. 36.37 × 21 =
  37. 37.1234 × 8 + 4 =
  38. 38.11 × 11 =
  39. 39.37 × 3 =
  40. 40.12345679 × 72 =

Answer key

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

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