Math practice for 13 year olds - page 357 of 424
Number of problems found: 8464
- 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. - Even / odd numbers
a / Using variable n, write two consecutive odd numbers. b / The sum of three consecutive odd numbers is 333. What are these numbers? - Ages
John, Teresa, Daniel, and Paul have a summary of 56 years. Their ages are in a ratio of 1:2:5:6. Determine how many years each has. - Hexagon = 8 parts
Divide the regular hexagon into eight equal parts. - Triangle KLB
It is given an equilateral triangle ABC. From point L, the midpoint of the side BC of the triangle, it is drawn perpendicular to the side AB. The intersection of the perpendicular and the side AB is point K. How many percent of the area of the triangle AB - Square - increased perimeter
How many times is the increased perimeter of the square, where its sides, increased by 150%? If the perimeter of the square increases twice, how much % increases the area of the square? - Car consumption
When driving in the city, the car has an average consumption of k liters of gasoline per 100 km, but when driving on the highway, it consumes an average of 20% liters less. Express the consumption of a car if it travels 25 km in the city and 75 km on the - Volume of three cuboids
Calculate the total volume of all cuboids for which the edges' sizes are in a ratio of 1:2:3, and one of the edges has a size of 6 cm.
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