Math practice for 13 year olds - page 244 of 425

Number of problems found: 8485

Predetermined 8094
Lumberjacks cut down a predetermined number of trees over the course of three days. On the first day, they cut down a quarter of the trees; on the second day, they cut down 6 more trees than on the first day; on the third day, they cut down 6 more trees t
Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC.
Together 8086
The first tiler would cover the inside of the pool in 5 working days, and the second would need seven working days for the same work. In how many days would they line the inside of the pool together?
Diameter of cent coins
In what proportion are the diameters of these coins: 10 cents-diameter 19.75mm 20 cents-diameter 22.25mm 50 cents-diameter 24.25mm
Minutes 8081
I will drain the whole tub in 4 minutes. How long would it take to drain it if I added two more drain holes?
Consumption 8079
The survey reduced hot water consumption by a ratio of 4:5. By what percentage has household water consumption decreased?
Purchase 8073
The company paid a 20% tax on the purchase of the machine in the amount of 240 €. What is the price of the machine without tax?
Four workers
Four workers lay on the gym floor for six hours. After an hour of working together, one of the workers went to the doctor. How long will it take for the remaining three workers to complete their work?
Twenty-four 8069
Twenty-four combers combed the hop garden in 6.5 days. How many combers would have to work on combing the hop garden in 5 days?
Increased 8067
The TV cost 1000 euros. In the last three months, they first reduced the TV price by 30%, then lowered it again by 20%, and finally increased it by 50%. Was the last price the same as the original?
Two cars on ring
Two cars were on the round track (ring) in the adjacent tracks, the first on the inner track and the second on the outer track. Both cars started at the same time from one starting track. The first toy car drove four laps simultaneously, and the second to
Quadrilateral 8060
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Find the surfaces of both bodies.
Luggage and air travel
Two friends traveling by plane had a total of 35 kg of luggage. They paid one 72 CZK and the second 108 CZK for being overweight. If only one paid for all the bags, it would cost 300 CZK. What weight of baggage did each of them have? How many kilograms of
Sum and ratio
The sum and ratio of two numbers are equal to 10. Which numbers are they?
Employees 8053
The company paid three employees 50 euros, 100 euros, and 60 euros. They are to receive a total of 735 euros for further work. How will they divide this amount if it is divided in the ratio as in the first case?
Midpoint of the line segment
Length of lines MG = 7x-15 and FG = 33 Point M is the midpoint of FG. Find the unknown x.
Midpoint 6
For line segment length is given: FM=8a+1, FG=42. Point M is the midpoint of FG. Find unknown a.
Midpoint 5
FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the unknown measure or value.
Find midpoint
FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.
3rd dimension
The block has a surface of 42 dm², and its dimensions are 3 dm and 2 dm. What is the third dimension?

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