Math practice for 13 year olds - page 342 of 428
Number of problems found: 8549
- Rectangular triangle PQR
In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments, of which longer is 25cm 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 deci - 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
The city plan has a scale of 1:5 0000, which determines the actual dimensions of a department store that has a length of 18 mm and a width of 25 mm. - 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? - Painting time
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself? - 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
Grandmother wants to give the candies to grandchildren so that when she gives five candy everyone, three are missing, and when she gives four candies, 3 are surplus. How many grandchildren have a grandmother, and how many sweets do they 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 10m and 18m, and arms 7m are 2m deep. During spring cleaning, the bottom and walls of the pool must be whitewas - Toothpaste duration
A full tube of toothpaste is enough for one family member for six weeks. How long will three family members last? - Segment symmetry
A segment AB is drawn in the rectangular coordinate system with endpoints A [1;6] and B [5;2]. The center symmetry is the origin of the coordinate system. Find the coordinates of the center of this segment in this symmetry projection. - Workers needed
Twenty-seven workers did the work in 12 days. In how many days would nine workers do the same job? - Working time If work is done in 16 days at a 10-hour shift, how many days will it be done at 8-hour shifts?
- Tree height
A tree with an unknown height casts a shadow 18 m long at a time, while a two-meter pole casts a shadow of 2.4 m. How tall is the tree? - Seawater salt
By evaporating 15 kg of seawater, we get 517.5 g of salt. How much seawater do we need to obtain 3.45 kg of salt?
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