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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 625 · 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. 1.12345678 × 9 + 9 =
  2. 2.37 × 18 =
  3. 3.123456 × 8 + 6 =
  4. 4.123456789 × 8 + 9 =
  5. 5.12345678 × 8 + 8 =
  6. 6.12345679 × 18 =
  7. 7.1234 × 9 + 5 =
  8. 8.11111 × 11111 =
  9. 9.37 × 21 =
  10. 10.1234 × 8 + 4 =
  11. 11.111 × 111 =
  12. 12.12345679 × 9 =
  13. 13.12345679 × 27 =
  14. 14.37 × 27 =
  15. 15.12345 × 8 + 5 =
  16. 16.12345679 × 63 =
  17. 17.12345 × 9 + 6 =
  18. 18.37 × 9 =
  19. 19.123 × 8 + 3 =
  20. 20.1111 × 1111 =
  21. 21.12345679 × 45 =
  22. 22.111111 × 111111 =
  23. 23.11 × 11 =
  24. 24.12 × 9 + 3 =
  25. 25.12345679 × 36 =
  26. 26.37 × 24 =
  27. 27.37 × 3 =
  28. 28.1234567 × 9 + 8 =
  29. 29.12345679 × 54 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 81 =
  32. 32.37 × 6 =
  33. 33.11111 × 11111 =
  34. 34.1234567 × 8 + 7 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12345679 × 27 =
  37. 37.11111 × 11111 =
  38. 38.12 × 8 + 2 =
  39. 39.12345679 × 72 =
  40. 40.37 × 12 =

Answer key

  1. 111111111
  2. 666
  3. 987654
  4. 987654321
  5. 98765432
  6. 222222222
  7. 11111
  8. 123454321
  9. 777
  10. 9876
  11. 12321
  12. 111111111
  13. 333333333
  14. 999
  15. 98765
  16. 777777777
  17. 111111
  18. 333
  19. 987
  20. 1234321
  21. 555555555
  22. 12345654321
  23. 121
  24. 111
  25. 444444444
  26. 888
  27. 111
  28. 11111111
  29. 666666666
  30. 1111
  31. 999999999
  32. 222
  33. 123454321
  34. 9876543
  35. 111111111
  36. 333333333
  37. 123454321
  38. 98
  39. 888888888
  40. 444

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