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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 759 · 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. 1.12345 × 8 + 5 =
  2. 2.111111 × 111111 =
  3. 3.37 × 24 =
  4. 4.123 × 9 + 4 =
  5. 5.12345679 × 63 =
  6. 6.37 × 12 =
  7. 7.37 × 3 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 45 =
  10. 10.12345678 × 8 + 8 =
  11. 11.37 × 15 =
  12. 12.37 × 6 =
  13. 13.12345679 × 36 =
  14. 14.12345679 × 72 =
  15. 15.11 × 11 =
  16. 16.1234 × 8 + 4 =
  17. 17.12 × 9 + 3 =
  18. 18.12345 × 9 + 6 =
  19. 19.1234567 × 9 + 8 =
  20. 20.37 × 9 =
  21. 21.37 × 21 =
  22. 22.1111 × 1111 =
  23. 23.111 × 111 =
  24. 24.12345679 × 27 =
  25. 25.12345679 × 9 =
  26. 26.12345679 × 54 =
  27. 27.123456 × 8 + 6 =
  28. 28.11111 × 11111 =
  29. 29.111 × 111 =
  30. 30.123 × 8 + 3 =
  31. 31.37 × 18 =
  32. 32.12345679 × 18 =
  33. 33.12345679 × 81 =
  34. 34.12 × 8 + 2 =
  35. 35.1234567 × 9 + 8 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 27 =
  38. 38.123456789 × 8 + 9 =
  39. 39.1234567 × 8 + 7 =
  40. 40.37 × 18 =

Answer key

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

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