Math practice for 13 year olds - page 351 of 422
Number of problems found: 8425
- Octagonal mat
The octagonal mat is formed from a square plate with a side of 40 cm so that every corner cuts the isosceles triangle with a leg of 3.6 cm. What is the area of one mat? - Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle. - Three figures - numbers
The sum of three numbers, if each is 10% larger than the previous one, is 662. Determine the figures. - Bottles
Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and someone liter. How many bottles were of these two types? - Equations: 2965
Solve a system of equations: x + 4y = -1 y = -1 - Equations: 2964
Solve a system of equations: x + y = 4 x-3y = -6 - Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - Equations: 2962 Solve a system of equations: x + y = -1 x + 5y = 3
- Roses
In a large bed of roses, one-sixth were white, half were red, one-quarter were yellow, and six were pink. How many roses were in the flower bed? - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Truncated cone
A truncated cone has bases with 40 cm and 10 cm radiuses and a height of 25 cm. Calculate its surface area and volume. - Shell of cylinder
Calculate the area of the shell of the 1.6 m height cylinder with a base radius of 0.4 m. - Radius and height
Calculate the volume of the cylinder: r = 5 cm, h = 9 cm - Drying apples
By drying, apples lose 85% of their weight. How many kgs of dried apples are from 820 kilograms of fresh apples? - Ascent and descent
The car goes 114 km of track, consisting of ascent and descent at 1 hour 35 minutes. When climbing, it moves at the speed of 48 km/h and downhill at 25 m/s. What is the length of the climb and descent? - Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume. - Percentage and rectangle
What percentage increases the perimeter and area of a rectangle if both sides are 12 cm and 10 cm long, and we increase it by 20%? - Three drivers
Three drivers driving in the same direction found that they had the same amount of gasoline. The first is enough to go 6 km, 4 km, second and third 3km. Gasoline they divided, so all three just drove to the nearest petrol station. How many km away was a p - Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm. - Percent
Calculate how much % is the number 26.25 less than the number 105.
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