Math practice for 13 year olds - page 180 of 428
Number of problems found: 8558
- Cone volume surface
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone. - Silver bracelet
The silver bracelet, which has a purity of 925 per mille, contains 25.9 g of silver. What is the weight of the bracelet? - The ABCD
The ABCD trapezoid has a base length of a = 120mm, c = 86mm, and an area of S = 2575 mm². Calculate the height of the trapezoid. - Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long. - Triangle right determination
Decide if the triangle is right (sides 5,11,7, cm) - Hydraulic blade force
The hydraulic blade has pistons with an area of 10 cm² and 500 cm². How much force acts on the larger piston if we act on the smaller piston with a force of 100 N? - Hydraulic jack The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston?
- Aquarium wet walls
The aquarium has the shape of a block with dimensions a = 40cm, b = 15cm, c = 30cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium. - System equation solving
Solve the following system of equations: x + 4y = 5 2x - 3y = -6 - Number zero puzzle
I think the number is when you substitute it in the expression (x-4). (2x-1), you get zero. What number can it be? - Roof height
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m. - Cake portion comparison
Three children got part of the cake. Which got the most? Tomas 24% Lenka 0.3 Philip 2/7 - Triangle - sines
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC - Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm. - Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface. - Scale factor 2
Nadeem has a 10-inch by 10-inch photo album. He wants to make a large copy of the original photo to fit the album. What are the largest dimensions of the copy if he keeps the proportion of the original photo? Explain your answer. The original photo is 5 i - Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm. - The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be? - Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Two prizes
Teacher Mae is giving away a random prize to a class of 15 pupils (7 boys and eight girls). What is the probability that girls will win both prizes?
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