Line - practice problems - page 9 of 30
Number of problems found: 600
- Rod ratio division
How do you divide a 3 m long rod in a ratio of 1:5? Specify the length of both parts in cm. - Wall tile count
How many square tiles with an edge of 10 cm are needed to line a wall 2.4 m long to a height of 1.6 m? - Steel bar cutting We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number.
- Ten points
There are ten arbitrary points in the plane. How many circles can we make from them? - Triangle line ratio
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Niki
Niki is conducting an experiment in which the temperature is measured carefully. The temperature was 76°C at the end of the first minute, and then it fell by 5°C every minute. Determine a formula to calculate the temperature (T) after m minutes. - Line ratio enlargement
A line segment 8 cm long is enlarged in the ratio 7:4. How long in centimetres will the new segment be? - Triangle construction sides
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Segment center coordinates
The line PQ is defined by points with coordinates P = [−2; 4] and Q = [4; 0]. What are the coordinates of the midpoint S of the line segment PQ? - Hypotenuse and center
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°. - Runner finish order
Six competitors reached the finish line of the 100-meter run. The following applies to their order: Cyril finished before Philip but behind Boris. Boris finished behind Andrej. Dustin was in front of Andrej but behind Emil. What was the order of the first - Dining room lineup
If the boys let the two girls in front of them, how many different ways can Annie, Betty, Cyril, Daniel, and Eric line up in the dining room? - Line ratio division The line is divided into two parts in a ratio of 4:7. The difference in lengths of individual parts is 18 cm. What is the length of the line in cm?
- Number line midpoint
You will find an unknown number on the number line between 428 and the unknown number 290. - Magnetic induction direction
The magnetic induction vector at a given field location has the direction: a) to the south magnetic pole b) tangent to the induction line c) to the north magnetic pole d) perpendicular to the tangent to the induction line - Plan road scale
A 3.5 cm-long line shows the 350 m-long road on the plan. What is the project's scale? - Dividing rod
The 3 m long rod should be divided into two parts so that one is 16 cm longer than the other. Find the lengths of both parts. - Euclid line construction
Using Euclid's theorem, construct a line of length √15. - Pentagon
The signboard has the shape of a pentagon ABCDE, in which line BC is perpendicular to line AB, and EA is perpendicular to line AB. Point P is the heel of the vertical starting from point D on line AB. | AP | = | PB |, | BC | = | EA | = 6 dm, | PD | = 8.4 - Peter's rectangle
Peter had a rectangle 2 cm wide and of unknown length. The line had a 2 cm rectangle whose length was equal to the perimeter of Peter's rectangle. When they put the rectangles together with their widths, they got a new rectangle with a circumference of 63
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