Math practice for 13 year olds - page 169 of 422

Number of problems found: 8424

Ratio in trapezium
The ratio of the height v and the base a, c in the trapezoid ABCD is 1:6:3. Its area is 324 square cm, and the peak angle B is 35 degrees. Determine the perimeter of the trapezoid.
Free fall
How long and at what speed does the body fall to the ground during a free fall from a height of 35 m?
The average height
The average height of six friends is 181 cm. Peter came among them, which reduced the average height by 2 cm. Calculate Peter's height.
Solution 38451
Prepare 2 liters (kg) of a 3% salt solution in water.
Solution 38411
Prepare 250g of a 30% solution of hydrogen peroxide in water.
Salicylic 38401
Prepare 600 g of an 8% solution of salicylic acid.
Solution 38391
Prepare 100g of a 15% blue rock solution.
Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6?
Minutes 38331
Two planes took off from Prague at one point. The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. How far apart will they be as the crow flies in 25 minutes of flight?
Regular 4-sided pyramid
Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m.
Clock's 38311
How far apart are the tips of the clock's hands in 3 hours if the larger hand is 124 mm long and the smaller 75 mm?
Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, and then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water,
Bricklayer 38291
A bricklayer will lay 12 m³ of brickwork in 4 days if he works 7 hours a day. How many days will he lay 51 m³ of masonry if he works 8.5 hours daily?
Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch.
Difference 38253
The blue coat, which costs CZK 1,200, has a price 40% lower than the red coat. What is the price difference between the two coats?
Isosceles + prism
Calculate the volume of the perpendicular prism if its height is 17.5 cm and the base is an isosceles triangle with a base length of 5.8 cm and an arm's length of 3.7 cm.
Lions
If eight lions are 40%, how many would 75% be?
Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area.
Possibilities 38143
If residents of MISSISSIPPI state have to use all the letters to choose their country's name, how many possibilities do they have?
Repeated 38103
How many 5-digit numbers can we assemble from the numbers 2,3,4,5,6,7,8,9 if each digit can be repeated only once?

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