Math practice for 13 year olds - page 208 of 431
Number of problems found: 8620
- Championships 21683
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b - Součková 21673
Ms. Součková bought 6 orange and 5 apple juices and paid a total of 254 CZK. Mrs. Derner bought 6 apple juice and 5 orange juice and paid CZK 2 less for them than Mrs. Součková. How much did each juice cost? - Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals. - Emilio
Emilio made 69 potholders. Each potholder cost him $2.81 to make. How much profit will he make if he sells each potholder for $3.12? - Seedlings 21583
Mrs. Beránková bought flowers for spring planting. Begonias were CZK 35 each, and geraniums CZK 48 each. She paid CZK 1,070 for 25 seedlings. How many begonia seedlings and how many nutmeg seedlings did she purchase? - Cardholders 21563
Two cardholders will build a tower of cards in 0.5 hours. In how many hours will five such a tower be built? - Above-average 21533
The company has 1,440 employees (men and women). 18.75% of all men and 22.5% of all women received bonuses for above-average results. A total of 20% of employees were rewarded with bonuses. How many men and how many women are employed in the company?
- Sixty-three 21513
Sixty-three children went to the camp. There are seven more boys than girls. How many boys went to the camp, and how many girls? - Block-shaped 21493
How many sheets need to be closed on the block-shaped container above), which is 4 m wide, 250 cm long, and 35 dm high? How many liters of water can fit in it? - Similarity of two triangles
The KLM triangle has a side length of k = 6.3cm, l = 8.1cm, m = 11.1cm. The triangle XYZ has a side length of x = 8.4cm, y = 10.8cm, z = 14.8cm. Are triangle KLM and XYZ similar? (write 0. If not, if yes, find and write the coefficient of a similarity) - Representing 21473
Six 7th graders, representing 24% of all graders, had honors. How many students are in the class? - Circumference 21463
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Clock hands
Calculate the internal angles of a triangle whose vertices lie on the clock's 2, 6, and 11 hours. - A kite
Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain? - Magnification 21383
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification.
- Spherical 21373
The spoon has the shape of half a spherical surface with a radius of 50 mm. What volume of fluid does it fit when filled to the brim? - Cylinder-shaped 21363
82 hl of water per hour flows into the empty cylinder-shaped pool with a bottom diameter of 7.5 m. How high will the pool be filled if the water has flowed in for 4 hours? - Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cm x 32 cm. How many tiles will they n - Equation: 21313
Solve the equation: 5 / (x-4) - 2 / (4x-16) = - 7 - Water mixing
There are 5 liters of water at 75°C in the pot. How much water at 10°C do we have to add to the resulting temperature of 55°C?
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