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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 671 · 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. 1.12345679 × 63 =
  2. 2.12345679 × 9 =
  3. 3.12345679 × 18 =
  4. 4.123 × 8 + 3 =
  5. 5.12345679 × 36 =
  6. 6.37 × 9 =
  7. 7.12345 × 9 + 6 =
  8. 8.111111 × 111111 =
  9. 9.12345678 × 8 + 8 =
  10. 10.37 × 21 =
  11. 11.11111 × 11111 =
  12. 12.37 × 12 =
  13. 13.37 × 3 =
  14. 14.11 × 11 =
  15. 15.12345679 × 81 =
  16. 16.12 × 8 + 2 =
  17. 17.1234 × 9 + 5 =
  18. 18.12345679 × 27 =
  19. 19.1234567 × 9 + 8 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 24 =
  22. 22.12 × 9 + 3 =
  23. 23.37 × 6 =
  24. 24.12345679 × 54 =
  25. 25.12345679 × 45 =
  26. 26.12345679 × 72 =
  27. 27.1234567 × 8 + 7 =
  28. 28.11 × 11 =
  29. 29.123456 × 8 + 6 =
  30. 30.37 × 15 =
  31. 31.111 × 111 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345 × 8 + 5 =
  34. 34.123456789 × 8 + 9 =
  35. 35.12345678 × 9 + 9 =
  36. 36.37 × 18 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 27 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 72 =

Answer key

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

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