Math practice for 13 year olds - page 120 of 435
Number of problems found: 8682
- Bricklayer 65064
The bricklayer could repair the wall himself in 30 minutes. Students would learn in an hour. How long will it take them to work together? - Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - Calculate 65014
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Individual 65004
In the computer game, you need to collect 5 objects in the room: a sword, a ring, a picture, a key, and a coin. It depends on the order in which we collect the individual objects. If the order is wrong, we will lose a life. How many are all in order? - Perimeter 64974
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface - Bratislava BA-BB
A truck drove from Bratislava to Banská Bystrica at a speed of 30 km/h. At the same time, a tractor drove at a speed of 40 km/h. The tractor arrived in Banská Bystrica 1 hour and 45 minutes earlier than the truck. What is the distance between the cities? - Husband 64914
Milan, Sara's husband, is four years older and twice as old as she was 17 years ago. How old are they?
- Collection 64884
Five friends compared how much old iron they brought to the collection. It was 55 kg on average, but Ivan got only 43 kg. How many kg on average did they bring without Ivan?
- Horizontal 64864
The meter stick is located on the meridian plane and deviated from the horizontal plane to the north by an angle of magnitude 70°. Calculate the length of the shadow cast by a meter stick at true noon if the Sun culminates at an angle of 41°03'. - Children's 64844
An architect has two plans for the same apartment at different scales. On the first plan, at a scale of 1:20, the length of the children's room is 20 cm. What is the children's room size on the second plan, on a scale of 1:50? - The triangle - sides
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third side c: (A) 7 - Distance 64804
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle? - Isosceles 64774
The figure shows an isosceles trapezoid CDEF. The size of the angle α is 73 degrees. Calculate the magnitude of the angle β in degrees. - Probability 64764
Petra wrote natural numbers from 1 to 20 on 20 tickets. Milady had one ticket pulled out. What is the probability that Milada will pull out a ticket with a number divisible by three? - Surface 64744
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface.
- Calculate 64734
We cut a sphere with a diameter of 10 dm into two equal parts. Calculate the area of the cut. - Quadrangular 64724
The decorative object has a quadrangular pyramid shape. Its base edge is 0.7 dm, and its side edge is 1.4 dm long. Calculate its height. - Hypotenuse and center
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°. - Discounts 64674
The camera was reduced twice, first by one-fifth of the original price and then by a quarter of its new price. After the second discount, the camera cost CZK 8,100. How much did he face before the discounts? - Developed 64664
In the first stage, the cyclist covered 70 km at a speed of 22.1 km/h. In the second stage, he covered 40 km (a total of 110 km), and his average speed increased to 22.9 km/h. What an average speed he developed in the second stage!
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