Maths practice for 14 year olds - page 33 of 319
Number of problems found: 6373
- Salt solution
The 50% salt solution must be diluted with distilled water to make 20 liters of 35% solution. How many liters of original solution and how many liters of water do we need?
- Determine 83081
A paper kite is shaped like a deltoid ABCD, with two shorter sides 30 cm long, two longer sides 51 cm long, and a shorter diagonal 48 cm long. Determine the sizes of the internal angles of the given deltoid.
- Penetrates 83078
A hammer with a mass of 600 g hits the head of a nail at a speed of 5 m/s. If the nail penetrates 3 cm into the wall, what is the average resistive force of the masonry?
- Overcoming 83076
A battering ram weighing 400 g falls from a height of 3 m. Upon impact, the stake hits a depth of 60 cm. What is the average force overcoming the soil resistance?
- Participating 83071
One hundred seventy-five school pupils signed up for the school trip. The ratio of boys to girls was 9: 16. In the end, 19 registered students did not come on the trip, so the ratio of the number of participating boys and girls was 9: 17. How many boys an
- Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals.
- Simultaneously 83038
The cable car can take a given group of skiers out in 20 minutes and the lift in 30 minutes. How long will the lift and cable car take this group out simultaneously?
- Interpretation 83015
A cargo boat with a total weight of 4,500t sailed from the river to the sea. Calculate by how many tons it is possible to increase the weight of the cargo on the boat at sea so that the draft remains the same as in the river. The density of river water is
- Ostrava 83008
A truck with a speed of 45 km/h left Ostrava. When he had passed 15 km, a car with a 90 km/h speed came behind him. How long does a car catch up with a truck take? How far from Ostrava?
- Encyclopedias 83005
The seller sells books for 20 euros and encyclopedias for 50 euros. How many books and encyclopedias did he sell if he sold 121 books? He won €8,000 for both types.
- Population 83002
Calculate how many people were born in the state; if the total population was 10,000,000 this year, the natural increase was 2%, and 5,000 people died.
- Already 82989
The book has 1200 pages, of which Róza has already read 60%. How many pages has Rose not read so far?
- Daughter 82977
The ages of the father, mother, daughter, and son are in the ratio 11:9:3:2. The mom is 36 years old. What is the sum of their ages?
- Determine 82975
Determine the sum of all positive odd numbers less than 78
- Classmates 82973
Three classmates, Alena, Barbora, and Cecílie, were supposed to divide a certain amount of money. Alena got A Eur, Barbora got B Eur and Cecílie got C Eur. In the division, A: B=9:7 and B: C=6:13 applied. Alena and Cecílie received €1,450 together. How ma
- Minutes 82967
The tank is filled with one inflow in 30 minutes, the other in 24 minutes. How many minutes will it take if both flows are open simultaneously?
- Simultaneously 82966
The tank with a volume of 15 hl has two inlets. One flows 5 liters per minute, the other 3 liters per minute. How long will it take for the tank to be filled with both inflows simultaneously?
- Together 82965
An older digger would dig a ditch by himself in 6 hours. A younger digger can handle the same trench in 3 hours. How long would it take them to dig if they worked together?
- Purchased 82877
Mrs. Havelková bought 7 kg of apples and 4 kg of pears for CZK 295. According to the receipt, she found out that 6 kg of apples and 5 kg of pears could be bought at the same cost. Determine the price of 1 kg of purchased apples and 1 kg of purchased pears
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