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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 530 · 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 × 18 =
  2. 2.12345679 × 27 =
  3. 3.111 × 111 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345 × 8 + 5 =
  6. 6.37 × 18 =
  7. 7.111111 × 111111 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 63 =
  10. 10.12345678 × 8 + 8 =
  11. 11.37 × 24 =
  12. 12.37 × 27 =
  13. 13.37 × 21 =
  14. 14.11111 × 11111 =
  15. 15.12345679 × 9 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345679 × 36 =
  18. 18.37 × 12 =
  19. 19.37 × 6 =
  20. 20.123 × 9 + 4 =
  21. 21.123456789 × 8 + 9 =
  22. 22.1234 × 9 + 5 =
  23. 23.37 × 3 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 9 =
  26. 26.12345678 × 9 + 9 =
  27. 27.123456 × 8 + 6 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345679 × 81 =
  30. 30.11 × 11 =
  31. 31.37 × 15 =
  32. 32.12345679 × 72 =
  33. 33.1234567 × 9 + 8 =
  34. 34.12 × 9 + 3 =
  35. 35.12 × 8 + 2 =
  36. 36.12345679 × 45 =
  37. 37.1234 × 9 + 5 =
  38. 38.123 × 9 + 4 =
  39. 39.1234 × 8 + 4 =
  40. 40.37 × 6 =

Answer key

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

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