Ratio + expression of a variable from the formula - practice problems

Number of problems found: 134

Bronze
Bronze has 80% copper and 20% tin. How much copper will we need to produce bronze if we have 39kg of tin?
The ratio 7
The ratio of the sides of two squares 4:5 if the sum of their areas is 180 cm² Find the sides of the two squares.
The ratio 6
The ratio of cats to dogs is 2 to 5. if there are 35 total animals in the shelter then how many are dogs?
Sides in ratio
The sides of the triangle are in a ratio of 2: 8: 5. Find the dimensions of the remaining sides if the longest side is 32 cm.
What is
What is the circumference of an isosceles trapezoid with a content of 106.75 cm ², the lengths of the sides are in the ratio 1: 3: 2: 1 and the bases are 6.1 cm apart?
A perimeter
A perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find lengths of the sides of the parallelogram.
The ratio 4
The ratio of two number is 5:4 if 40% of the first number is 12, what will be 50% of the second number?
Two fifth
Two-fifths of the worker in a factory are men. The rest are women, if there are 28 men. How many more women than men are there?
Boys and girls 8
In a class of 35 boys and girls that has a ratio of 2:5, 5 boys are absent and 5 boys are present. How many students are present?
Centre of the hypotenuse
For the interior angles of the triangle ABC, alpha beta and gamma are in a ratio of 1: 2: 3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB.
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?
Translate
Translate the following mathematical statement into an algebraic expression or equation. 1. Nine less that the quotient of a number and 3 2. The ratio of 3 and the sum of 4 and an unknown number 3. Eighty is the product of 4 and g 4. The sum of x and 18 i
Calculate
Calculate the area of triangle ABC, if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm.
The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
The diamond
The diamond has an area S = 120 cm², the ratio of the length of its diagonals is e: f = 5: 12. Find the lengths of the side and the height of this diamond.
Ratio in trapezium
The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid
Cuboid - ratio
Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm².
Cuboid edges
The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m².
What is 10
What is the 5th term, if the 8th term is 80 and common ratio r =1/2?
If the 3
If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.

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