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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 682 · 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. 1.37 × 15 =
  2. 2.37 × 18 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12345679 × 63 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345 × 9 + 6 =
  7. 7.12345679 × 9 =
  8. 8.12345679 × 18 =
  9. 9.111111 × 111111 =
  10. 10.37 × 24 =
  11. 11.37 × 12 =
  12. 12.123 × 8 + 3 =
  13. 13.12345678 × 9 + 9 =
  14. 14.11 × 11 =
  15. 15.12 × 9 + 3 =
  16. 16.1234 × 9 + 5 =
  17. 17.37 × 6 =
  18. 18.12345679 × 45 =
  19. 19.12345679 × 27 =
  20. 20.1111 × 1111 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345679 × 36 =
  23. 23.123456 × 9 + 7 =
  24. 24.37 × 27 =
  25. 25.1234 × 8 + 4 =
  26. 26.37 × 21 =
  27. 27.12345679 × 72 =
  28. 28.11111 × 11111 =
  29. 29.12345 × 8 + 5 =
  30. 30.37 × 9 =
  31. 31.12 × 8 + 2 =
  32. 32.111 × 111 =
  33. 33.12345679 × 81 =
  34. 34.123 × 9 + 4 =
  35. 35.37 × 9 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345678 × 8 + 8 =
  38. 38.12345679 × 54 =
  39. 39.37 × 15 =
  40. 40.37 × 3 =

Answer key

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

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