Math practice for 13 year olds - page 325 of 353
Number of problems found: 7056
- Equations
Solve the following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44 - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm? - Coins
On coins found, it was stated that from the year 87 BC. Is it right? - Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 15 minutes stop. Joachim, meanwhile, continues at 5 km/h. When he set off again, Otto had the first running speed of 7 km/h, but it kept only 30 sec, and 1 minute must co
- Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level? - Rhombus
PQRS is a rhombus. Given that PQ=3 cm & height of the rhombus is given 2 cm. Calculate its area. - Freight and passenger car
The truck starts at 8 pm at 30 km/h. The passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and the destination city? - Three digits number
How many are three-digit integers such that they have no digit repeats?
- Equation with fractions
Solve an equation: 1- (2x-5)/(6) =3- (x)/(4) It is an equation with fractions. - Chess
How many different ways can you initiate a game of chess (first pass)? - Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water? - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it? - Sisters
Sisters Hanka and Vera go mostly to their grandmother by bicycle. Journey took Hanka 30 minutes and Vera 20 minutes. How long will Vera catch up with Hanka when she starts from home five minutes later than Hanka?
- Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - Circles
The area of a circle inscribed in a square is 7. What is the area of a circle circumscribed around a square? - Football season
Throughout the football season gave, Adam 23 goals more than Brano and 16 goals less than Karol. Edo gave the six goals more Dušan. Karol gave five more than Edo. Brano and Edo gave together 17 goals. How many goals did you give each boy, and how many goa - Cuboid
Cuboid ABCDEFGH with 10 cm height has a base edge length 6 cm and 8 cm. Determine the angle between the body diagonal and the base plane (round to degrees).
Grandmother bred chickens and rabbits. It found that the yard has 25 heads and 70 legs. How many chickens and rabbits breed in the yard?Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
