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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 69 · 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 × 21 =
  2. 2.123 × 8 + 3 =
  3. 3.1234 × 9 + 5 =
  4. 4.12345 × 9 + 6 =
  5. 5.37 × 18 =
  6. 6.123456 × 9 + 7 =
  7. 7.37 × 24 =
  8. 8.12345679 × 45 =
  9. 9.37 × 9 =
  10. 10.37 × 15 =
  11. 11.111111 × 111111 =
  12. 12.12345679 × 36 =
  13. 13.12345679 × 63 =
  14. 14.12345 × 8 + 5 =
  15. 15.11111 × 11111 =
  16. 16.12 × 8 + 2 =
  17. 17.12345679 × 18 =
  18. 18.12345679 × 54 =
  19. 19.111 × 111 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12 × 9 + 3 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345679 × 9 =
  24. 24.1234567 × 8 + 7 =
  25. 25.123 × 9 + 4 =
  26. 26.1111 × 1111 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345679 × 72 =
  29. 29.37 × 27 =
  30. 30.37 × 3 =
  31. 31.11 × 11 =
  32. 32.12345679 × 9 =
  33. 33.123 × 8 + 3 =
  34. 34.12345 × 8 + 5 =
  35. 35.12345679 × 81 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 24 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345678 × 9 + 9 =
  40. 40.37 × 12 =

Answer key

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

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