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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 602 · 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 × 18 =
  2. 2.12345679 × 54 =
  3. 3.12345679 × 27 =
  4. 4.12345679 × 18 =
  5. 5.111 × 111 =
  6. 6.12345679 × 36 =
  7. 7.37 × 9 =
  8. 8.37 × 6 =
  9. 9.37 × 27 =
  10. 10.123456789 × 8 + 9 =
  11. 11.1111 × 1111 =
  12. 12.1234 × 8 + 4 =
  13. 13.12345679 × 72 =
  14. 14.11111 × 11111 =
  15. 15.37 × 3 =
  16. 16.123 × 9 + 4 =
  17. 17.123456 × 8 + 6 =
  18. 18.123 × 8 + 3 =
  19. 19.12345678 × 9 + 9 =
  20. 20.1234567 × 9 + 8 =
  21. 21.111111 × 111111 =
  22. 22.12345679 × 9 =
  23. 23.37 × 12 =
  24. 24.11 × 11 =
  25. 25.12345 × 8 + 5 =
  26. 26.12 × 9 + 3 =
  27. 27.37 × 24 =
  28. 28.12345679 × 45 =
  29. 29.12 × 8 + 2 =
  30. 30.12345 × 9 + 6 =
  31. 31.1234567 × 8 + 7 =
  32. 32.1234 × 9 + 5 =
  33. 33.37 × 21 =
  34. 34.12345679 × 81 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345679 × 63 =
  37. 37.11 × 11 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 15 =
  40. 40.37 × 12 =

Answer key

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

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