Math practice for 13 year olds - page 176 of 414
Number of problems found: 8280
- Reservoir pump filling
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. If all pumps are switched on simultaneously, how many hours will it be filled? - Coffee
One kilogram of cheaper coffee costs CZK 150, and one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)? - Balloon buoyancy force
The balloon filled with hot air has a volume of 1440 m³. How large a buoyancy force acted on the balloon in the air with a density of 1.3 kg/m³? - Book money
Jarmila bought a book for two-fifths of her money, leaving her with CZK 75. a) How much CZK did Jarmila initially have? b) How much did the book cost? - Class language
Five-twelfths of the students in the class learn English, a third learn German, a sixth learn French, and two students learn Spanish. How many students are in the class, and how many languages are they learning? - Cone paper
Pepíček went to school on the first day. Dad made him a paper cone for sweets in the shape of a cone with a side length of 50 cm and a base radius of 10 cm. How many cm² of paper did he need to make the cone? - The bun
The bun costs CZK 2, and the rolls CZK 3.5. Hannah bought 22 pieces of bread, bought only buns and rolls, and paid CZK 65. how many rolls did she buy, and how many rolls? - Muesli
You want to mix your own muesli on a specialized website. 200 g of muesli base costs 170 CZK. You want to add cornflakes in chocolate to the basics. 50 g of this ingredient costs 13 CZK. How much do you pay for a 150 g mixture when both components weigh t - He tile
The tile has the shape of an isosceles triangle, the base of which is 4 cm long, and the corresponding height is 6 cm long. At least how many tiles are needed to cover a wall containing 2.4 m² - Balloon flight From the pilgrimage, Nicole has a balloon on a two-meter-long string, the end of which is held 60 cm above the ground. The balloon floats diagonally from Nicole and is 145 cm horizontally away from her. How high is the balloon from the ground?
- Concert ticket
Noah wants to save $60 to purchase a concert ticket. If he has saved $45 so far, what percentage of his goal has he saved? What percentage remains? - A trapezoid
A trapezoid has a base length of a = 36.6 cm, with angles α = 60°, β = 48°, and a height of 20 cm. Calculate the lengths of the other sides of the trapezoid. - The garden
The garden is an isosceles trapezoid with bases 64 m and 24 m long and a height of 25 m. If a fifth of the area is occupied by a cottage, lawn, and path, in what garden area is it possible to grow vegetables? - Tower distance
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40°? - Hemispherical dome
What is the coverage area of the painting of a hemispherical dome with a diameter of 8 m? - Worker floor time
Three workers were to lay the parquet floor. If everyone worked alone, the first would finish the job in 30 hours, the second in 24 hours, and the third in 20 hours. How long will they do the floor if they work together? - Mrs Perry
Mrs. Perry shares 25 biscuits between Gemma and Zak in a ratio of 1:4. How many biscuits have each? - Route option
From Zubrohlava to Bobrov, there is one asphalt road, two forest roads, and one bike path. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options. - Pyramid complete
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Roof material
In the form of a pyramid with a square floor plan, the house's roof has dimensions of 12 x 12 m, at the highest point, a height of 2 m. How much roofing do we need to buy? Count on a 10% reserve.
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