Cube and Time Correct
Group: _______________________________________
1) Five equilateral triangles, each with side length are arranged so they are all on the same side of a line containing one side of each.
Along this line, the midpoint of the base of one triangle is the vertex of the next, as shown in the diagram below.
What is the area of the region that is covered by the union of the five equilateral triangular regions?
Answer:
Question
Attempt 1
Attempt 2
Attempt 3
1
Triangles
The area is:
The area is:
The area is:
Time
Score:
Question
First Attempt
Second Attempt
Third Attempt
Correct (100)
Time/Pts
Correct (75)
Time
Correct (50)
Time
1) Triangles
Group: _______________________________________
2) The 10-unit length ruler shown below with 11 markers (at every unit) allows us to measure any integer distance between 1 and 10 units .
To measure 4 units, you can measure from 0 to 4, 1 to 5, 2 to 6, and so on.
A Golomb ruler is a ruler constructed in such a way that no two pair of marks on it measure the same distance.
For example, the ruler to the right is a Golomb ruler; it is a 3-unit length ruler with 3 numbers (marks) on it (0, 1 and 3).
You can use the ruler to measure lengths of 1(between 0 and 1), 2 (between 1 and 3) and 3 (between 0 and 3) units as shown, but there is only one way to do so for each.
Also note that, if the length of a Golumb ruler is n, then all the numbers from 1 to n must be measureable by the ruler.
Your task is to create two 4-numbered Golomb rulers of unknown length (though it is less than 10); you can use the diagram below to help and for each, 0 is one of the numbers.
What are the two Golomb rulers?
Answer:
Question
Attempt 1
Attempt 2
Attempt 3
2
Golumb
The two Golomb rulers are:
The two Golomb rulers are:
The two Golomb rulers are:
Time
Score:
Question
First Attempt
Second Attempt
Third Attempt
1) Five equilateral triangles, each with side length are arranged so they are all on the same side of a line containing one side of each.
Along this line, the midpoint of the base of one triangle is the vertex of the next, as shown in the diagram below.
What is the area of the region that is covered by the union of the five equilateral triangular regions?
Answer:
Question
Attempt 1
Attempt 2
Attempt 3
1
Triangles
The area is:
The area is:
The area is:
Time
Score:
Question
First Attempt
Second Attempt
Third Attempt
Correct (100)
Time/Pts
Correct (75)
Time
Correct (50)
Time
1) Triangles
Group: _______________________________________
2) The 10-unit length ruler shown below with 11 markers (at every unit) allows us to measure any integer distance between 1 and 10 units .
To measure 4 units, you can measure from 0 to 4, 1 to 5, 2 to 6, and so on.
A Golomb ruler is a ruler constructed in such a way that no two pair of marks on it measure the same distance.
For example, the ruler to the right is a Golomb ruler; it is a 3-unit length ruler with 3 numbers (marks) on it (0, 1 and 3).
You can use the ruler to measure lengths of 1(between 0 and 1), 2 (between 1 and 3) and 3 (between 0 and 3) units as shown, but there is only one way to do so for each.
Also note that, if the length of a Golumb ruler is n, then all the numbers from 1 to n must be measureable by the ruler.
Your task is to create two 4-numbered Golomb rulers of unknown length (though it is less than 10); you can use the diagram below to help and for each, 0 is one of the numbers.
What are the two Golomb rulers?
Answer:
Question
Attempt 1
Attempt 2
Attempt 3
2
Golumb
The two Golomb rulers are:
The two Golomb rulers are:
The two Golomb rulers are:
Time
Score:
Question
First Attempt
Second Attempt
Third Attempt