Math practice for 13 year olds - page 120 of 421
Number of problems found: 8410
- 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 pyramid
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!
- Probability 64634
What probability does a randomly drawn two-digit number have the same digits? Write the result as a decimal number.
- Right-angled 64614
Arrange the given shapes according to their area, in descending order: S - Square with perimeter = 16 cm O - A rectangle with side a = 3 cm and perimeter o = 16 cm T - A right-angled triangle with a hypotenuse of 4.125 cm and a hypotenuse of 8.125 cm
- Beginning 64594
Goods with a price of 520 € became more expensive by 15% at the beginning of the season. At the end of the season, the goods became cheaper by 10%. How much did the goods cost at the end of the season?
- Cuboid - block
The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³.
- Perpendiculars 64574
Calculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long.
- Opened 64544
We can fill the pool with two inflow pipes. The first pipe fill in 24 hours and the second in 16 hours. How long did the pool fill if the first tube was open for the first 4 hours and then we opened both inlets?
- Four-digit 64504
Writing a four-digit number ends with the number 5. If we move this number to the first place, we get a number 531 larger than the original. Specify the original number.
- Collected 64494
A group of scouts works in the woods. A third of them cleaned the stream. A quarter collected timber, and the remaining ten planted trees. How many scouts were on the brigade?
- Amount 64464
There are 12,000 tons of coal on the first dome and 2,200 tons on the second. They take 80 tons from the first kick every day and 60 tons from the second. How many days will the same amount of coal be on both kicks?
- Probability RGB
The bag has six red, five green, eight blue, and 11 yellow balls. What is the probability that we will pull out a green ball?
- Calculate 64444
The length of the linden shadow is 429 cm. The length of the shadow meter is 78cm. Calculate the height of the linden.
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