Maths practice for 14 year olds - page 41 of 369
Number of problems found: 7362
- The Celebration
Five boys and five girls were nominated for a celebration at a local school. How many ways can the prom king, prom queen, and two other students be chosen from those nominated? (The king must be a boy, and the queen must be a girl)
- Dimensions 83603
The perimeter of the rectangle is 56 cm, and its length is three times greater than its width. What are the dimensions of the rectangle?
- Textbook 83602
A textbook with a workbook costs 14 euros. The workbook is 6 euros cheaper than the textbook. How much is the textbook, and how much is the workbook?
- Harvest 83600
Martin brought twice as much harvest as Tomáš and Filip, 15 kg more than Martin. They got a total of 65 kg of harvest. How much did each person bring?
- A lottery
In a lottery, a person chooses four different natural numbers at random from 1 to 10, and if these four numbers match the four numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? (Th
- Representing 83587
Juraj paid 87 euros for ski training, representing 60% of the total. How much does ski training cost?
- Different balls
We have four different boxes and three identical balls. Place the marbles in these boxes so that the boxes can contain one, two, three or none. How many other locations are there?
- Cauliflower: 83523
Miss Kapustová sold vegetables in the market. Yesterday, she offered two types of cauliflower: a large one for 25 CZK and a small one for 15 CZK. She sold 8 crates of 20 heads and earned a total of CZK 3,270. How many large and how many small cauliflowers
- Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6m, the length is 9m, and the slo
- Isosceles weight
A designer weight is made from a glass cube by cutting a three-sided prism with an isosceles triangle base that is right-angled and whose arm is half the length of the cube edge. What percentage of the cube is cut off when making the weight?
- Children books
The library has 2748 books, three times more for adults than for children. Thus, the library has 2748 books for adults and 2748 books for children.
- Granulate 83503
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams.
- Acceleration 83493
A body with a mass of 5 kg moves in a vertical downward direction with an acceleration of a= 12 m/s². What force acts on it in addition to its weight?
- Temperature 83492
How much heat is needed to turn 1kg of ice at a temperature of -10℃ into steam at a temperature of 100℃?
- Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg!
- Distinction 83469
In the year's first half, 20% of the 8A class students had honors. At the end of the year, 3 more students joined them, and a total of 32% of the students received the distinction. How many pupils went to 8A?
- Good grades
At school, 10 percent of boys and 15 percent of girls achieve good grades. What percentage of students achieve good grades when 60 percent of girls are in school?
- Accommodates 83454
The dormitory accommodates 173 students in 48 rooms. Some rooms have three beds; some have four beds. If all rooms are fully occupied, determine how many are triples and how many are quadruple rooms.
- Distances 83452
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this?
- Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE?
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