Ratio - practice for 14 year olds - page 12 of 30
Number of problems found: 583
- Rectangular 4624
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land. - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - An amusement 2
An amusement park sells child and adult tickets at a ratio of 8:1. On Sunday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement party sell on Sunday? - Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle? - 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. - 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. - Shifts 82622
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5? - Perpendicular 82488
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D) - Rectangle 82456
The sides of the rectangle are in the ratio 5 : 8. Its perimeter measures 208 cm. Determine the content of this rectangle. - Isosceles 71154
Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α - Calculated 7916
The raw wood beam weighs 85 kg. It is calculated that drying will reduce its weight in a ratio of 5: 6. What will be its weight after drying? - Calculate 6885
Triangle with o = 16.8 cm and aspect ratio a:c = 1:2 and b:c = 5:6. Calculate side lengths a =? B =? c =? - Resistance 5938
If the resistance of the first resistor is 100 ohms and the voltage ratio on the first and second resistors is 2:1. What will be the resistance of the second resistor connected in series? - Accepted 3423
The material for 83 masons of the company is enough for 12 days. How many days will this supply be enough for them if the company has accepted six more masons? - Miloš
Miloš and Martin helped water the new vineyard. They had to carry water from the well in buckets. How did they divide the 20-euro reward if Miloš applied 20 buckets and Martin 30 buckets? - Emu vs. Ostrich
The ostrich and the emu are the two largest birds. An emu is usually 1/2 the size of an ostrich. The sum of their heights is 150 inches. How tall is the average ostrich? - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Final exam
At the final exam, the student answers from three areas, which are evaluated in a ratio of 1:2:2. What grade will John receive if he replies as follows: 3,1,2. - Transformer
Transformer - U1 = 230 V, N1 = 300, N2 = 1,200, I1 = 4 A. Calculate the transformation ratio, voltage and current in the secondary coil.
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