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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 280 · 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. 1.123456 × 9 + 7 =
  2. 2.111111 × 111111 =
  3. 3.37 × 18 =
  4. 4.12345 × 8 + 5 =
  5. 5.12 × 8 + 2 =
  6. 6.12345679 × 9 =
  7. 7.37 × 12 =
  8. 8.12345679 × 36 =
  9. 9.37 × 21 =
  10. 10.11111 × 11111 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 3 =
  13. 13.12345 × 9 + 6 =
  14. 14.37 × 9 =
  15. 15.12345679 × 63 =
  16. 16.1234567 × 8 + 7 =
  17. 17.123 × 9 + 4 =
  18. 18.12345679 × 54 =
  19. 19.37 × 6 =
  20. 20.12345678 × 8 + 8 =
  21. 21.11 × 11 =
  22. 22.12345679 × 27 =
  23. 23.12345678 × 9 + 9 =
  24. 24.12345679 × 45 =
  25. 25.12345679 × 81 =
  26. 26.12345679 × 18 =
  27. 27.37 × 24 =
  28. 28.12345679 × 72 =
  29. 29.123456789 × 8 + 9 =
  30. 30.12 × 9 + 3 =
  31. 31.1111 × 1111 =
  32. 32.1234 × 9 + 5 =
  33. 33.111 × 111 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 15 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12 × 9 + 3 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345679 × 81 =
  40. 40.12345 × 9 + 6 =

Answer key

  1. 1111111
  2. 12345654321
  3. 666
  4. 98765
  5. 98
  6. 111111111
  7. 444
  8. 444444444
  9. 777
  10. 123454321
  11. 987
  12. 111
  13. 111111
  14. 333
  15. 777777777
  16. 9876543
  17. 1111
  18. 666666666
  19. 222
  20. 98765432
  21. 121
  22. 333333333
  23. 111111111
  24. 555555555
  25. 999999999
  26. 222222222
  27. 888
  28. 888888888
  29. 987654321
  30. 111
  31. 1234321
  32. 11111
  33. 12321
  34. 987654
  35. 555
  36. 11111111
  37. 111
  38. 9876
  39. 999999999
  40. 111111

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