Ratio + length - practice problems - page 6 of 16
Number of problems found: 313
- Heights 8157
The heights of Jirka and David are in the ratio of 5: 3. Jirka is 60 cm taller than David. How much does Jirka measure? - Shadow 7838
A man 1.65 m tall casts a shadow of 1.25 m. How tall is the tree whose shadow is in debt 2.58 m? - Proportion 5811
In what proportion do we need to increase the length of the picture frame if its original length is 55 cm and 30 cm larger? - Represents 3509
What is the map's scale if the 2.5 cm long line represents 500 km? - Karim
Karim uses a photocopier to enlarge the triangle PQR diagram by 150%. a) Write the ratio of the length of P' Q' to the length of PQ. b) Is the ratio of the length P 'R' to the length PR equal to the ratio of the length P 'Q' to the length PQ? c) Use your - Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long. - Scale of the map
The distance between the two cities is actually 30 km, and the map is 6 cm. What is the scale of the map? - Small city
The length of the street is 230 m. What will its image length be on the plan at a scale of 1:2500? - Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD? - Equilateral 80851
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Rectangular 43751
The dimensions of the rectangular plate on the plan were 8 and 6 cm. The actual plexiglass plate was 7:2 to the plan. What were the exact dimensions of the plate? - Advertising 26331
The can of juice is 15 cm high. For advertising purposes, they made a model that can enlarge in a ratio of 5:3. How tall is the advertising? - Rectangular 7801
The length of the sides of the rectangular garden is 4:3. The junction of the centers of adjacent sides is 20 m long. Calculate the area of the garden. - Describe 5247
The large hand on the clock is 14 cm long. What path will the tip of the hand describe in 35 minutes? - Distance 4869
Two places have a distance of 4 cm on a map with a scale of 1:75 000. What is their distance on a 1:50,000 scale map? - Two places
The actual distance between the two places is 105 km. Find the scale of the map on which this distance is marked by a line 1.2 dm long. - Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m at the same time. - Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a circumference of 12 cm. - Clock
What distance will pass the end of 8 cm long hour hand for 15 minutes? - Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
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