Math practice for 13 year olds - page 336 of 424
Number of problems found: 8463
- Milk mixing
You have 12 liters of milk with a temperature of 20 °C. How much milk at 80 °C do you have to add to have milk at 30 °C? - Shelf lengths
The carpenter cut two identical pieces into shelves from a 2-meter longboard. He cut the rest into four side shelves of 20 cm. How long are the shelves? - Sunflower Field
The trapezoidal sunflower field is located between two parallel paths spaced 230 meters apart. The lengths of the parallel sides of the field are 255 m and 274 m. How many tons of sunflower will come from this field if the hectare yield is 2.25 tons? - Magnet proportion
The brothers collect magnets. Andrew has 32, 18 he kept. He gave the rest to his brother. In what proportion did they split the magnets? How much more should he give to Ondřej's brother so that the ratio of numbers is 3:5? - Student plans
One-third of the 8 A class student wants to go to high school after finishing primary school, and half of the students are interested in the field of study. The remaining four have not yet been decided. How many students are there in 8 A? - Triangle angles
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles. - Ticket sales
They sold 120 tickets at the children's performance for CZK 3,100. The children cost CZK 20, and the adults cost CZK 40. How many children's tickets have been sold? - Rectangular triangle PQR
In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments, of which longer is 25 cm long. The second leg PR has a length of 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 dec - A mast
The wind broke a mast 32 meters high so that its top touched the ground 16 meters from the pole. The still-standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken? - Production time
The milling machine makes the part in 20 minutes. On a better machine, it can make 30 parts in 6 hours. By how much percent will the time required to produce one part on a new machine be reduced? - Container percentage
We first poured 0.25 water from the full container, then 0.2 of the remaining water. What percentage of the container remained full? - Store dimensions
A city plan has a scale of 1:50,000. Determine the actual dimensions of a department store that measures 18 mm in length and 25 mm in width on the plan. - Road length
What is the actual length of the road, which measures 5 cm on the map, if the scale is: a / 1:500, b / 1:1,000 c / 1:1,000,000? - Class
In a class, there are 32 pupils. Of these are eight boys. What percentage of girls are in the class? - Waste separation
14% of separated waste in Slovakia in 2007 consisted of plastics. The glass managed to separate twice as much. What% of separated waste was glass? What% of separated waste was another waste? - Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume. - Equation solutions
The solution to the equation 3x = 8x is a / no real number b / x = 8/3 c / x = 3/8 d / x = 0 e / infinitely many solutions - Triangle existence
Find out if there is a triangle whose two sides are 5 cm and 8 cm long and the middle bar determined by their centers is 1.5 cm long. - Grandmother
A grandmother wants to divide candies among her grandchildren. If she gives five candies to each, she is three short. If she gives four candies to each, she has three left over. How many grandchildren does she have, and how many candies does she have? - Pool whitewashing
The pool is in the shape of a vertical prism with a bottom in the shape of an isosceles trapezoid with dimensions of the bases of the trapezoid 10 m and 18 m, and arms 7 m are 2 m deep. During spring cleaning, the bottom and walls of the pool must be whit
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