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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 662 · 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. 2.1234567 × 8 + 7 =
  3. 3.37 × 18 =
  4. 4.37 × 6 =
  5. 5.1234567 × 9 + 8 =
  6. 6.12345678 × 8 + 8 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 9 =
  9. 9.12345679 × 27 =
  10. 10.123 × 9 + 4 =
  11. 11.37 × 27 =
  12. 12.12345 × 8 + 5 =
  13. 13.37 × 21 =
  14. 14.123456 × 8 + 6 =
  15. 15.37 × 24 =
  16. 16.12345679 × 63 =
  17. 17.1234 × 8 + 4 =
  18. 18.1234 × 9 + 5 =
  19. 19.123 × 8 + 3 =
  20. 20.11 × 11 =
  21. 21.12345679 × 18 =
  22. 22.12 × 8 + 2 =
  23. 23.123456789 × 8 + 9 =
  24. 24.111 × 111 =
  25. 25.12345 × 9 + 6 =
  26. 26.12345679 × 81 =
  27. 27.12345679 × 45 =
  28. 28.111111 × 111111 =
  29. 29.12345679 × 54 =
  30. 30.123456 × 9 + 7 =
  31. 31.11111 × 11111 =
  32. 32.1111 × 1111 =
  33. 33.12345679 × 9 =
  34. 34.12345679 × 72 =
  35. 35.37 × 24 =
  36. 36.37 × 6 =
  37. 37.37 × 15 =
  38. 38.37 × 3 =
  39. 39.12345679 × 18 =
  40. 40.37 × 12 =

Answer key

  1. 111111111
  2. 9876543
  3. 666
  4. 222
  5. 11111111
  6. 98765432
  7. 111
  8. 333
  9. 333333333
  10. 1111
  11. 999
  12. 98765
  13. 777
  14. 987654
  15. 888
  16. 777777777
  17. 9876
  18. 11111
  19. 987
  20. 121
  21. 222222222
  22. 98
  23. 987654321
  24. 12321
  25. 111111
  26. 999999999
  27. 555555555
  28. 12345654321
  29. 666666666
  30. 1111111
  31. 123454321
  32. 1234321
  33. 111111111
  34. 888888888
  35. 888
  36. 222
  37. 555
  38. 111
  39. 222222222
  40. 444

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