Math practice for 13 year olds - page 48 of 424
Number of problems found: 8477
- Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter uses it in 14 weeks. They used the cream together for four weeks, after which only the daughter used it. How many more weeks did the cream last? - Fountain
Around a circular fountain with a diameter of 2 m, there is a 0.5 m wide strip of land for planting roses. How many m² of land do the roses occupy? - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Rhombus 48
A large rhombus is composed of four identical smaller rhombuses, each with an area of 42 m² and an angle alpha of 60°. What is the perimeter of the large rhombus? - Double the number of apples
Adam and Ben were picking apples. Together they picked 77 kg of apples. How much did each collect, given that Adam collected 5 kg more than twice what Ben collected? - How much 17
How many more euros will Mrs. Eve have if she increases her savings of €2,400 in the ratio 7:5? - Observation tower
An observation tower is covered with a roof in the shape of a regular quadrilateral 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 of new roofing material need to be bought? - Real inflation 2025
Calculate the rate of price rise (inflation) of the service of municipal waste collection, if in 2024 the service cost 30 euros/person and the identical service in 2025 costs 37 euros. PS. More than one office deals with the monitoring of inflation, but t - Sweets
There are 12 sandwiches on a plate: 5 with poppy seeds and 7 with jam. How many cheese sandwiches must be added so that the probability of randomly selecting a poppy seed sandwich is 20%? - Calculate
The circumference of a sphere is o = 87 cm. Calculate its volume. Express the result in litres 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 what percentage must the price of these shares increase from today for their total value to return to the original €3,000? - Blueberries - total
Peter can fill a container with blueberries in 3 hours, and Jane 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 the pool if the water level is 10 cm below the edge? State the result in centimetres 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 the nearest 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 remaining feed last? - Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm × 5 cm. Calculate the height of the cuboid in centimetres. - 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 place? - Postage stamps 2
Paul 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 numerous as the one-crown stamps. The sum of the face values of all the stamps is 448 CZK. Ho - Unknown number x
If I multiply an unknown number by 4 and subtract 8.4 from the result, I get the same result as if I multiply the unknown number by 3 and add 15.1. Determine the unknown number. Write the result as a decimal. - Alice 2
Alice decided to plant geraniums in the spring. She bought one 50-litre bag of soil and also cuboid-shaped boxes with base dimensions of 1 m × 15 cm and a height of 17 cm. She wants to fill the boxes with soil to a height 2 cm below the top edge. Calculat
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