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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 170 · 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 × 24 =
  2. 2.37 × 12 =
  3. 3.1234 × 9 + 5 =
  4. 4.12 × 8 + 2 =
  5. 5.12345679 × 27 =
  6. 6.12345679 × 45 =
  7. 7.12345679 × 36 =
  8. 8.123456 × 9 + 7 =
  9. 9.1234567 × 8 + 7 =
  10. 10.12345679 × 18 =
  11. 11.37 × 6 =
  12. 12.111 × 111 =
  13. 13.111111 × 111111 =
  14. 14.37 × 15 =
  15. 15.37 × 3 =
  16. 16.12345 × 8 + 5 =
  17. 17.123 × 8 + 3 =
  18. 18.123 × 9 + 4 =
  19. 19.37 × 27 =
  20. 20.11111 × 11111 =
  21. 21.12345679 × 72 =
  22. 22.1111 × 1111 =
  23. 23.123456789 × 8 + 9 =
  24. 24.1234 × 8 + 4 =
  25. 25.11 × 11 =
  26. 26.12345678 × 8 + 8 =
  27. 27.12345 × 9 + 6 =
  28. 28.12 × 9 + 3 =
  29. 29.37 × 9 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345678 × 9 + 9 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12345679 × 81 =
  34. 34.12345679 × 9 =
  35. 35.1234567 × 9 + 8 =
  36. 36.37 × 18 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345679 × 63 =
  39. 39.1111 × 1111 =
  40. 40.12345679 × 54 =

Answer key

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

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