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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 578 · 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. 1.123456789 × 8 + 9 =
  2. 2.37 × 18 =
  3. 3.12345679 × 54 =
  4. 4.12345 × 8 + 5 =
  5. 5.11111 × 11111 =
  6. 6.37 × 24 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 3 =
  9. 9.37 × 12 =
  10. 10.12345679 × 27 =
  11. 11.37 × 21 =
  12. 12.1234 × 8 + 4 =
  13. 13.12345 × 9 + 6 =
  14. 14.123 × 9 + 4 =
  15. 15.12345678 × 8 + 8 =
  16. 16.123456 × 8 + 6 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 36 =
  19. 19.111 × 111 =
  20. 20.37 × 15 =
  21. 21.111111 × 111111 =
  22. 22.12345679 × 81 =
  23. 23.37 × 9 =
  24. 24.123 × 8 + 3 =
  25. 25.12 × 9 + 3 =
  26. 26.12345679 × 18 =
  27. 27.1234567 × 9 + 8 =
  28. 28.37 × 6 =
  29. 29.11 × 11 =
  30. 30.12345679 × 45 =
  31. 31.37 × 27 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345679 × 63 =
  34. 34.12 × 8 + 2 =
  35. 35.12345679 × 72 =
  36. 36.11111 × 11111 =
  37. 37.12345679 × 63 =
  38. 38.1111 × 1111 =
  39. 39.12 × 9 + 3 =
  40. 40.111111 × 111111 =

Answer key

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

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