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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 424 · 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. 1.12345 × 8 + 5 =
  2. 2.1234567 × 8 + 7 =
  3. 3.37 × 12 =
  4. 4.12345679 × 18 =
  5. 5.12345 × 9 + 6 =
  6. 6.37 × 6 =
  7. 7.37 × 18 =
  8. 8.37 × 15 =
  9. 9.111111 × 111111 =
  10. 10.111 × 111 =
  11. 11.12345679 × 45 =
  12. 12.12345679 × 9 =
  13. 13.12345679 × 27 =
  14. 14.1234567 × 9 + 8 =
  15. 15.12345678 × 9 + 9 =
  16. 16.123 × 8 + 3 =
  17. 17.1234 × 9 + 5 =
  18. 18.37 × 21 =
  19. 19.11 × 11 =
  20. 20.37 × 24 =
  21. 21.37 × 9 =
  22. 22.12345679 × 54 =
  23. 23.12345679 × 36 =
  24. 24.37 × 3 =
  25. 25.12 × 9 + 3 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 81 =
  28. 28.37 × 27 =
  29. 29.12345679 × 63 =
  30. 30.12345 × 9 + 6 =
  31. 31.1111 × 1111 =
  32. 32.123456789 × 8 + 9 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12 × 8 + 2 =
  35. 35.123 × 9 + 4 =
  36. 36.123456 × 8 + 6 =
  37. 37.12 × 8 + 2 =
  38. 38.123456 × 9 + 7 =
  39. 39.12345679 × 36 =
  40. 40.1234 × 8 + 4 =

Answer key

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

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