Math practice for 13 year olds - page 44 of 432
Number of problems found: 8632
- New Year's price increase
After the New Year, the prices of goods changed in a ratio of 3 : 2. How much will we now pay for a dining set (6 chairs and a table), if the chair originally cost €44 and the table €232? - Princess 2
The fat princess weighed 168kg on October 5. By November 10, her weight had changed in the ratio of 7:4. How much did she weigh on November 10? Did she gain or lose weight? - Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter in 14 weeks. They used the cream together for four weeks, then only the daughter used it. How many more weeks did her cream last? - Fountain
Around a circular fountain with a diameter of 2m, there is a 0.5m wide strip of land for planting roses. How many m² of land do roses occupy? - Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter? - Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter? - Double the number of apples
Adam and Bonifác were picking apples. Together they picked 77 kg of apples. How much did each of them collect when Adam collected 5 kg more than twice what Bonifác collected?
- How much 17
How many euros more will Mrs. Eva have if she increases her savings of €2,400 in the ratio 7 : 5? - Observation tower
The observation tower is covered with a roof in the shape of a regular quadrangular pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² do you need to buy? - Sweets
There are 12 sandwiches on a plate, 5 of which are poppy seeds and 7 are jam. How many cheese sandwiches must be added to them so that the probability that a randomly selected sandwich is poppy seed is 20%? - Calculate
The circumference of the ball is o = 87 cm. Calculate its volume. Express the result in liters and round to the nearest whole number. - Peter 28
Peter bought shares of a foreign company for a total of €3,000. Today their value is 50% lower. By how much percent must the price of these shares increase from today for their total value to return to the original €3,000? - Blueberries - total
Peter collects a container of blueberries in 3 hours, and Jana in 2 hours. How long will it take them to fill the container together? - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is it when the water reaches 10 cm below the edge? State the result in centimeters and round to the nearest whole number. - Store - silo
A cylindrical silo (d = 4 m, h = 8 m) is about 70% full. How many m³ of silage are stored in it? Round the result to a whole number.
- Horses 6
A farmer bought feed for 6 horses for 5 months. After two months, he sold 2 horses. How many months will the feed last? - Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm and 5 cm. Calculate the height of the cuboid in centimeters. - In a race
There are 25 racers in a race. What is the probability that a randomly selected racer will finish no worse than 3rd? - Postage stamps 2
Pavel collects postage stamps. He has the same number of one-crown and three-crown stamps in his collection, and he also has five-crown stamps, which are twice as many as one-crown stamps. The sum of the prices listed on all the stamps is 448 CZK. How man - Unknown number x
If I multiply the unknown number by 4 and subtract 8.4 from the result, I get the same number as if I multiply the unknown number by 3 and add 15.1 to the result. Determine the unknown number. Write the result as a decimal.
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