Math practice for 13 year olds - page 185 of 428
Number of problems found: 8555
- Ladder
How long is a ladder that touches a wall 4 meters high and has a lower part 3 meters away from the wall? - Cyclist meeting
From Děčín and Ústí nad Labem, which are 24 km apart, two cyclists rode against each other at the same time. One drove at an average speed of 28 km/h, and the other, which left Ústí, drove at a speed of 20 km/h. How long did the cyclists meet, and at what - Candy remaining
Eva has four types of candies. He has ten strawberries, and of every other kind, he has candies. How many candies would she have left if she ate two sweets of each type? - Quadrilateral pyramid
Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Triangular pyramid
Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm. - Roof cardboard
The roof of the prefabricated holiday cottage has the shape of a regular quadrilateral pyramid with a length of the base edge of 8 meters and a height of 9 m. How many square meters of cardboard are needed to cover the roof? - Linden tree percentage
The graph shows the distribution of the number of all trees by species that the volunteers planted in the city park. What percentage of the total number of planted trees are lindens? Oak 23 pieces Maple 12 pieces Linden 15 pieces - Inequality natural number
Write the smallest natural number satisfying the inequality: 5. (2x-1) - Skier percentage calculation
Of the 150 children participating in the ski course, 20 were excellent skiers, 35 were good, 40 were average, and the rest were beginners. Calculate what percentage each skier represents. - Line ratio division
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9. - Insulate house
The property owner wants to insulate his house. The house has these dimensions of 12, and 12 m is 15 m high. The windows have six dimensions, 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm, and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - Circle center construction
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles. - Ascend vs. descent
Which function is growing? a) y = 2-x b) y = 20 c) y = (x + 2). (-5) d) y = x-2 - Nautical mile calculation
Jeníček will go on vacation with his parents and go by boat for a certain part of the journey. He is interested in how many nautical miles they will sail if their route represents by a line 7.4 cm long on a 1:25,000 scale map. (1 nautical mile = 1,850 m) - Insert AP member
Insert arithmetic means between 75 and 180. - Two xeroxes
The performances of the two copiers are in the ratio of 3:4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours? - Jelly sugar ratio
Did Sonia not like the ratio indicated on the jelly sugar; which picture is wrong and why? A) for 1000g of fruit, add 350g of sugar 3:1: super jelly sugar B) 3:1 for 1500 g of fruit, add 500 g of sugar: extra jelly sugar - Grandmother - money
On a school trip, Šárka received pocket money from her grandmother for small expenses. On the first day, she spent 20% of it and was left with 320 CZK. Calculate the amount of Šárka's pocket money. - Natural number creation
How many natural numbers can you make from the digits in 4052? No digit may be repeated in the number entry. Sort the numbers in ascending order of size.
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