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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 709 · 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. 1.123 × 9 + 4 =
  2. 2.12345678 × 8 + 8 =
  3. 3.37 × 27 =
  4. 4.12 × 9 + 3 =
  5. 5.1234567 × 8 + 7 =
  6. 6.1111 × 1111 =
  7. 7.111111 × 111111 =
  8. 8.123456 × 8 + 6 =
  9. 9.12345 × 9 + 6 =
  10. 10.123456 × 9 + 7 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 24 =
  13. 13.37 × 15 =
  14. 14.12345679 × 63 =
  15. 15.12345679 × 54 =
  16. 16.1234 × 8 + 4 =
  17. 17.11111 × 11111 =
  18. 18.12 × 8 + 2 =
  19. 19.1234567 × 9 + 8 =
  20. 20.12345679 × 45 =
  21. 21.111 × 111 =
  22. 22.37 × 3 =
  23. 23.37 × 6 =
  24. 24.12345679 × 9 =
  25. 25.12345679 × 81 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345679 × 27 =
  28. 28.37 × 18 =
  29. 29.37 × 12 =
  30. 30.37 × 21 =
  31. 31.12345679 × 36 =
  32. 32.12345678 × 9 + 9 =
  33. 33.1234 × 9 + 5 =
  34. 34.11 × 11 =
  35. 35.12345 × 8 + 5 =
  36. 36.37 × 9 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 72 =
  39. 39.12345679 × 18 =
  40. 40.12345679 × 9 =

Answer key

  1. 1111
  2. 98765432
  3. 999
  4. 111
  5. 9876543
  6. 1234321
  7. 12345654321
  8. 987654
  9. 111111
  10. 1111111
  11. 987
  12. 888
  13. 555
  14. 777777777
  15. 666666666
  16. 9876
  17. 123454321
  18. 98
  19. 11111111
  20. 555555555
  21. 12321
  22. 111
  23. 222
  24. 111111111
  25. 999999999
  26. 987654321
  27. 333333333
  28. 666
  29. 444
  30. 777
  31. 444444444
  32. 111111111
  33. 11111
  34. 121
  35. 98765
  36. 333
  37. 9876543
  38. 888888888
  39. 222222222
  40. 111111111

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