Math practice for 13 year olds - page 331 of 414

Number of problems found: 8279

Dried apples
57 kg of 3q red apples is dried. How many dried apples do we get from 60 kg of fresh apples?
Material supply
The material for 83 masons of the company is enough for 12 days. How many days will this supply be enough for them if the company has accepted six more masons?
Summer camp
Out of the 180 students at a summer camp, 72 signed up for canoeing. Twenty-three students signed up for trekking, and 13 also signed up for canoeing. Use a two-way table to organize the information and answer the following question: Approximately what pe
Skate savings
Luke was saving for new roller skates. The first month he saved a third of their price, the second month a quarter, the third month half of the rest of the price, and the fourth month €25. How much € did the skates cost?
Bridge building
Ninety-six soldiers will build a pontoon bridge in 5 hours. How long before the same bridge creates 54 soldiers?
Rectangle from string
String 12 m. Make a rectangle when one side is two times longer than its width.
Three dice
What is the probability that when we roll three dice, we roll the number 1,2,3?
Pyramid 4sides
Calculate the volume and the surface of a regular quadrilateral pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm.
Sputnik
The first Earth satellite was flying at a speed of 8000 m/s. At that rate, he circled the Earth in 82 minutes. Jet flies at an average speed of 800 km/h. How long would it take to circle the Earth around?
Roof 8
How many liters of air is under the tower's roof, which has the shape of a regular six-sided pyramid with a 3,6-meter-long bottom edge and a 2,5-meter height? Calculate the supporting columns occupy about 7% of the volume under the roof.
Vase capacity
The cylindrical vase is 28 cm high. Its inner diameter d = 1.1 dm. How many liters of water will fit in it if the bottom thickness is 1.5 cm?
Water height
The cylindrical container with a diameter of 1.8 m contains 2000 l of water. What height does the water reach?
Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI
Pyramid
The pyramid has a base rectangle with a = 6 cm and b = 8 cm. The side edges are the same, and their length is 12.5 cm. Calculate the surface of the pyramid.
Two numbers
The sum of the two numbers is 75. Find these numbers. Three-quarters of the first are one-seventh of the second.
Hectoliters in a tank
The block tank held 288 hectoliters of water. The bottom dimensions are 12m and 6m, and the depth is 2m. What percent of the tank volume does the water occupy?
Larger number
Which number a is 15 smaller (solve also for a is larger) than its half?
Hexagonal prism height
A container has the shape of a regular hexagonal prism with a base and a capacity of 0.5 dm², which means three quarter-liter cups of water fill the brim. What is the height of a container?
Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid.

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