Math practice for 13 year olds - page 269 of 413
Number of problems found: 8260
- At the butcher's
The cold storage room at the butcher's has dimensions 4x3 m, a height of 2.5 m, and a door measuring 90x200 cm. The walls will be tiled up to the ceiling, but before that they need to be treated with two layers of primer and one layer of anti-mould coatin - Container height
A cylindrical container with a bottom diameter of 30 cm and a height of 20 cm is filled with water. We want to pour the water into another cylindrical container with a bottom diameter of 15 cm. What minimum height must the second container have for the wa - Cylinder Base Radius Calculate the radius of the cylinder base if you know its volume V and height v. H = 300 cm³, h = 8 cm
- Ditch
The ditch profile is an isosceles trapezoid with bases of length 80 m and 60 m. The slope of the sidewall of the ditch is 80°. Calculate the ditch depth. - Solve Exponential Equation
For n ϵ N solve: 100 = (0.01n)² - Ice Cube Edge Length
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m3 - Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the and the diagonals are perpendicular to each other. - Prism volume
A = 3 cm b = 4 cm prism height h = 10 cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b. - Simplify 2
Simplify expression: 5ab-7+3ba-9 - Natural Number with Divisors
Which natural number less than 100 has the largest number of divisors? - 15 teachers
Fifteen teachers teach for a combined amount of 128 days over 64 days. What is this expressed as a percentage? - Divisible numbers
How many 3-digit numbers can be composed of the digits 1,3,5,7,9 if the digits are not allowed to be repeated in the number notation? How many of them are divisible by five? - Cinema seating
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Journey to Brno
The Dvořák and Novák families live in the same house on the outskirts of Prague. Over the weekend they set out by car to Brno. Mr. Novák drives on the motorway at an average speed of 120 km/h, Mr. Dvořák is more cautious, his average speed is usually 95 k - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Stones in aquarium
The water is up to three-quarters of the depth in an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes) - Prism height
A four-sided prism has a volume of 648 cubic centimeters. The trapezoid that is its base has the dimensions a is equal to 10 centimeters, c is equal to eight centimeters, and height v is equal to 6 centimeters. Calculate the height of the prism. - Bricklayers
When a bricklayer works to redeem the house in 8 days, the other bricklayer will be finished in 10 days. How long will it take to make three such houses together? - A square
A square with a length of diagonals 12 cm gives: a) Calculate the area of a square b) The rhombus, with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal. - Rectangle perimeter
Adam had three identical rectangles. He put them together and got a rectangle with a circumference of 50 cm. Then, he placed them differently and got a rectangle with a larger circumference. Calculate its perimeter.
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