Math practice for 13 year olds - page 46 of 435
Number of problems found: 8682
- Rhombus - diagonals
Rhombus ABCD has side a = 80 cm and side b = 50 cm. Diagonals u1 and u2 make an angle of 60 degrees with each other. Calculate the area of the rhombus.
- Tractor 18
A tractor pulls four seeders, each 18/5 meters wide. The tractor moves at a speed of 4.5 km/h during sowing. How many hectares of field will the tractor driver sow in 7.5 hours?
- Necessary paint
3 kg of paint is enough for 18 m² of area. How much paint is needed to paint the walls and bottom of a swimming pool with dimensions of 25 m, 15 m, and a depth of 1.5 meters? Thank you
- Parallelogram - ratio
The lengths of the adjacent sides of a parallelogram are in the ratio 8:3. The shorter side is 4.2 cm long. Calculate the perimeter of the parallelogram.
- We are delayed
The train had to travel the distance from A to B at an average speed of 56km/h. After a 1.5 hour journey from station A, the train stopped for 30 minutes. To reach station B in the specified time, he had to travel the remaining distance at an average spee
- MAT Test
Students wrote a math test. 5/18 students got a 2, 2/9 a 3, and 1/6 a 4. 12 students got a 1. How many students wrote a math test?
- Green
The green combine harvests the field in 18 hours. If it works together with the red combine, they will harvest the field in 6 hours. How long would the red combine harvest alone work in the field?
- Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectoliters of water. How many square meters of sheet metal are needed to make it? We calculate if 2% of the surfaces are for joints and waste.
- A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area?
- Isosceles
Isosceles trapezoid ABCD has a perimeter of 39 cm. The base AB is 7 cm longer than the base CD and the arm is 2 cm shorter than the base CD. Calculate the length of the base CD.
- Cookies - price
The price of cookies was increased from 16 crowns to 17 crowns. By what percent did the price of cookies increase?
- Two cuboids
The cuboid has dimensions of 2m 3m 4m We increase the length of all edges by 50 cm. 1. Calculate in % how much the surface area of the cuboid increases compared to the surface area of the original cuboid - round the result to whole percent 2. Calculat
- Condensation
How many liters of water must be evaporated from 400kg of a 10% soda solution to get a 16% solution?
- Diagonals
Construct a rhombus whose diagonals have lengths of 10cm and 8cm and make an angle of 115°.
- Graduation of the track
The gradient of the track is 9 per mile, and the distance per kilometer (on the slope) [AC] = is 560m. Determine the angle alpha and the distance [AB] = the height between A and B. A / | B/____________C
- Heating water
5 kg of water warmed up by 10°C. How much heat did the water absorb? (Remember that 1kg of water needs 4,200J of heat to raise its temperature by 1°C.)
- Kilograms 84201
60 kg of fruit were divided into the KOP store and the FRESH store in a ratio of 2:3. How many kilograms did the FRESH store receive?
- Received 84200
Jana received a new book. She wants to read it in 8 days. If she read 6 more pages a day, she would read the book two days earlier. How many pages does the book have?
- Kilometers 84199
Three friends, Jana, Janett, and Adriana, like to run. On Sunday they all went for a run. Jana ran twice as many kilometers as Žaneta. Adriana ran 3 kilometers more than Žaneta. How many kilometers did Adriana run if the friends ran 11 kilometers together
- In an electrical 3
In an electrical circuit, we have R1=4000 Ohms, R2=8000 Ohms, and R3=6000 Ohms connected in series. The power supply has a voltage of 100 V. Calculate the voltage values across R1, R2, and R3.
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