Math practice for 13 year olds - page 303 of 420

Number of problems found: 8400

Apartment sizes
The house has apartments of three sizes. One-sixth are four-room, and one-third are two-room. There are 160 three-room apartments. How many two-room apartments are there?
Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
Railway Tunnel
The largest tunnel in the Slovak Republic on the Banská Bystrica-Diviaky route measures 4,698 m, which was only 8.7% of the length of the longest railway tunnel at the time in the world, the Seikan in Japan. Calculate the length of this tunnel
Rhombus EFGH
Construct the rhombus EFGH where e = 6.7 cm, height to side h: vh = 5 cm
Circle construction
Construct the circles k1 (S1;r1) and k2(S2;r2), if S1 S2 = 7 cm, d1= 12 cm and r2 = 1/2 r1. Mark the point: a) A lying on circle k1, b) B lying in both circles determined by circles k1 and k2, c) C lying simultaneously on both circles, d) D, for which: (S
Train distance
Two trains traveling in opposite directions meet at 8:00. How many km apart are they at 8:20 when one goes at 75 km/h and the other at 120 km/h?
Kilometers in the city
If the distance between two cities is 15 kilometers, and the scale of the map is 1:300000, what is the distance on the map?
Menu choices
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course?
Cutting circles
From a square sheet with 1 m sides, we cut out circles with a radius of 10 cm. How many discs can we cut, and what percentage of the material will be wasted?
Flowerbed
The park has a large circular flowerbed with a diameter of 12 m. Jacob ran around it ten times and the shorter Walt seven times. How many meters each went by, and how many meters did Jacob run more than Walt?
Fewer than 500 sheep,
There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five, and sixth-order, one sheep will remain. But they can stand in the seventh order. How many sheep?
Diameter
What is the inside diameter of the cylinder container if half a liter of water reaches a height of 15 cm?
Fifth of the number
A fifth of the number is 24 less than that number. What is the number?
Six years
In six years, Jan will be twice as old as he was six years ago. How old is he?
Father and son
The father is 48 years old, and the son is 23. When will the father be twice as old as the son?
Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla
Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.
Force meter
We put the statuette on the force meter, which showed a value of 25 N. Then, we placed it on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the statuette's volume?
Parallelogram
We know about parallelogram ABCD: length |AB| = 76 cm, |BC| = 44 cm, and angle ∢BAD = 30°. Find the area of the parallelogram.
Grandfather
The grandfather is three years older than the grandmother. The average age of the grandmother, the grandfather, and their seven grandchildren is 28. The grandchildren have a total of 105 years. Calculate how old grandfather is.

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