Math practice for 13 year olds - page 184 of 413
Number of problems found: 8260
- Inner angles
The magnitude of the internal angle at the central vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoi - Original price
Find the original price of a car if it was firstly increased by 4% and then reduced by 2%. It now costs CZK 326,144. - Truck kinetic energy
A truck has a mass of 4.5 tonnes and is moving at a constant speed of 72 km/h. What is its kinetic energy? - Box wrapping cost
How much will we pay for wrapping 5 boxes in the shape of a cube with a side length of 80 cm if we count on a margin of 35% for folds? The price for 1 square meter of paper is €2.55. You can only buy whole square meters. - Calculate 4S pyramid
Calculate the surface area and volume of a regular 4-sided pyramid with a base edge of a = 12 cm and a height of v = 5 cm. - Calculate pyramid
Calculate the volume of the pyramid, whose base edge a = 8 cm and the sidewall makes an angle α = 60° with the square base. - Special body
Above each wall of a cube with an edge a = 30 cm, we construct a regular quadrilateral pyramid with a height of 15 cm. Find the volume of the resulting body. - The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Bracelet
The silver bracelet weighs 62 g and contains 59 g of silver. What is the purity of the bracelet? - 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 = 120 mm, c = 86 mm, 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. - 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 = 40 cm, b = 15 cm, c = 30 cm. 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 of a number. When it is substituted into the expression (x − 4)(2x − 1), the result is zero. What could the number 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
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