Basic operations and concepts - math word problems - page 191 of 323
Number of problems found: 6446
- Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7:5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z. - Plates - gold
The father bequeathed to his two sons 4 gold plates in the shape of a square, which were 1 mm thick. The side lengths of these plates were 5 cm, 10 cm, 10 cm, and 15 cm. The sons were to receive the same amount of gold. How many gold plates did each son r - In the Gargen
Workers will pave a 1-meter-wide sidewalk in the garden with tiles around the block-shaped pool. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. How many m² of pavement will be laid with tile - Chocholate
The table of chocolate is divided into squares on its surface. Lengthwise has 8 squares and widthwise 12 squares. We must chocolate broke into individual squares. How many times have we broken it to get only individual squares? It is not permitted to brea - Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S1=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m. - Rectangle perimeter ratio
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment? - Rectangle ratio dimensions
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - Circle waste
Calculate the percentage of waste when we cut out 4 of the largest possible circles from a square sheet with sides of 1 meter. - Triangle angle ratio
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size. - Waste - cutting metal
In the workshop, they cut 50 circles with a diameter of 9 cm from a rectangular sheet with dimensions of 50 cm and 100 cm. What percentage of the sheet was a waste? - Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%). - Wall paint proportional
Matthew paints his room. He paints square walls. He painted a wall with a side of 3 m and consumed 5 kg of paint. How many kilograms of paint will he need on a wall with a side length of 6 m? - Triangle area
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters? - Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7cm, BC=5.5cm, and the height of the first side on AB=4.4cm. - Sides in ratio
The sides of the triangle are in a ratio of 2:6:5. Find the dimensions of the remaining sides if the longest side is 32 cm. - A perimeter
The 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 the lengths of the sides of the parallelogram. - In a
In a triangle, the aspect ratio a: c is 3:2, and a: b is 5:4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides. - Isosceles triangle
In an isosceles triangle, the arm's length and the length of the base are in a ratio of 3 to 5. What is the length of the arm?
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