Math practice for 13 year olds - page 333 of 362
Number of problems found: 7236
- 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?
- Unknown integer
Find the smallest integer: Divided by 2, the remainder is 1. divided by 3. The remainder is 2. divided by 4. The remainder is 3. Divided by eight, the remainder is 7. Divided by 9, the remainder is 8.
- Parallelogram ABCD
The area of parallelogram ABCD is 902 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND?
- 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).
- Chicken and rabbits (classic)
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?
- Meat
Half a kilogram of pork and three-quarters of a kilogram of beef cost a total 5.1 USD. One-quarter of a kilogram of beef and 1 kilogram of pork costs 4.9 USD. Find the price of 1 kg of each type of meat.
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