Math practice for 13 year olds - page 159 of 428
Number of problems found: 8558
- 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
Silvia 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 39cm. 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
Jana 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? - Factorial cancellation
Cancel the expression with factorials: 12! x 2 x 7! / 6 x 10! 8! - Sprayer grass area
What grass area can the automatic sprayer spray if it is set to spray at an angle of 120 ° and the water sprays up to a maximum distance of 5 meters? - Minute hand area
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm. - Prism height
The volume of the triangular prism is 200 dm3, and the base is a triangle with a side of 10 dm and a corresponding height of 5 dm. Calculate the height of the prism. - Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, the height of trapezium v = 3.7 cm, and the height of the prism h = 5 cm. - Carousel for children
There are 5 seats evenly distributed on the children's carousel in the shape of a circle. What kind the arm of the carousel (connecting the center of the carousel to the seat) is long if the distance between with two seats is 1.2m? - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Milk cream
They used a quarter of the imported milk to make butter, half to make a cream, and 100 liters to make cottage cheese at the dairy. How many liters of milk was used to make the cream? - Lodge view angle
The observer lies on the ground at a distance of 20m from a hunting lodge 5m high. A) At what angle of view does the posed see? B) How much does the angle of view change if it approaches the sitting by 5m? - Passenger boat distribution
During the rescue of the sinking ship, the passengers were divided into three boats in a ratio of 3:4:5. There were 15 passengers in the first boat. How many passengers were rescued together? - Tree breaking height
The 30-meter tree broke. Its top fell 5m from the trunk. At what level did it break? - Seats on carousel
There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5m?
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