Math practice for 13 year olds - page 162 of 413
Number of problems found: 8260
- Circular track
The circular running track has a radius of 50 m. How many laps does a runner have to do to run 5 km? - Cube water height
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level? - Rectangle circumference area
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Tourist route
Tourists covered 15% of their route on the first day and a fifth of the remainder on the second day. They still had 34 km left to go. How many kilometres did they travel on the second day? - The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 of each tank base. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate - Hypotenuse size
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long. - MO Z7-II-1 2020
Dragons and cyclops live on a fairy-tale island. All dragons are red, three-headed, and two-legged. All cyclops are brown, one-headed, and two-legged. Cyclops have one eye in the middle of their forehead; dragons have two eyes on each head. The cyclops an - Room plan perimeter
Róbert's children's room has a rectangular floor plan, and the carpet that covers the entire floor has an area of 12 m². One side has a dimension of 2.5 m. The plan of this room is drawn on a scale of 1:100. What is the perimeter of the rectangle represen - Sphere surface
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm. - Sphere radius
Calculate the radius of a sphere with the same volume as a cone with a base radius of 5 cm and a height of 7 cm. - A box 2
A box has a length of 4 1/2 inches, a width of 3 2/3 inches, and a height of 8 1/4 inches. What is the volume of the box? - Rectangular
Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K, and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle - Ratio to total
7:12 is the ratio of orchids to tulips. What is the ratio of the number of orchids to the total number of flowers in the garden? - Cube surface A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have?
- Three-digit numbers
How many are all three-digit numbers made up of digits 0,2,5,7 and are divisible by nine if the digits can be repeated? - Clothing option
Sylvia wants to buy a new T-shirt, skirt, and pants. The boutique has ten different T-shirts, a white and black skirt, and six types of trousers. How many different clothing options can you buy? - Square size change
Resize the square to 7:3. The original size is 39 cm. What is the size of the square after the change? - Divide an isosceles triangle
How can an isosceles triangle be divided into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)? - Bread flour percentage
There is 3.8 kg of flour in 5 kg of black bread. What percentage of the weight of bread is flour? - Triangular land
Jane has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be?
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