Math practice for 13 year olds - page 46 of 434
Number of problems found: 8668
- 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.
- Raspberry juice
How much will the scout leader pay for drinks for the children if a third of the children had a raspberry juice for 10 CZK, half of the children had sparkling water for 15 CZK, and the remaining 4 children had a kola for 20 CZK (CZK = Czech crowns)?
- Workers
The first worker completed the work in 40 hours, the second in 50 hours, and the third in 80 hours. How long will it take them to do the work together?
- RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m, |CD| = 200 dm, and |BC| = 10m. Calculate the area and perimeter of the trapezoid and the length of the diagonal AC
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