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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 422 · 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. 2.123456789 × 8 + 9 =
  3. 3.12345679 × 81 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 9 =
  6. 6.37 × 12 =
  7. 7.1234567 × 9 + 8 =
  8. 8.37 × 6 =
  9. 9.111111 × 111111 =
  10. 10.1111 × 1111 =
  11. 11.12345679 × 27 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 45 =
  14. 14.37 × 3 =
  15. 15.123 × 9 + 4 =
  16. 16.111 × 111 =
  17. 17.1234 × 8 + 4 =
  18. 18.12345679 × 18 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 54 =
  21. 21.1234 × 9 + 5 =
  22. 22.12345 × 8 + 5 =
  23. 23.37 × 24 =
  24. 24.12345 × 9 + 6 =
  25. 25.37 × 21 =
  26. 26.12345679 × 72 =
  27. 27.11 × 11 =
  28. 28.123456 × 9 + 7 =
  29. 29.1234567 × 8 + 7 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 15 =
  32. 32.37 × 18 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12345679 × 36 =
  35. 35.37 × 9 =
  36. 36.37 × 15 =
  37. 37.12345 × 8 + 5 =
  38. 38.1111 × 1111 =
  39. 39.123456 × 8 + 6 =
  40. 40.37 × 21 =

Answer key

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

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