Math practice for 13 year olds - page 242 of 415
Number of problems found: 8281
- Two cars on ring
Two cars were on the round track (ring) in the adjacent tracks, the first on the inner track and the second on the outer track. Both cars started at the same time from one starting track. The first toy car drove four laps simultaneously, and the second to - A transmitter tower
A transmitter tower is 80 metres high and is secured to the ground by 4 steel cables, each anchored 60 metres from the base of the tower. Calculate how many metres of steel cable were needed in total to secure the transmitter tower. The steel cable has a - Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7 cm and 9 cm, the height of the base 4 cm, and the height of the prism 15 cm. Find the surfaces of both bodies. - Luggage and air travel
Two friends traveling by plane had a total of 35 kg of luggage. They paid one 72 CZK and the second 108 CZK for being overweight. If only one paid for all the bags, it would cost 300 CZK. What weight of baggage did each of them have? How many kilograms of - Sum and ratio
The sum and the ratio of two numbers are both equal to 10. What are the two numbers? - Dividing Money Given Ratio
The company paid three employees 50 euros, 100 euros, and 60 euros. They are to receive a total of 735 euros for further work. How will they divide this amount if it is divided in the ratio as in the first case? - Midpoint 5
FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the unknown measure or value. - 3rd dimension The block has a surface of 42 dm2, and its dimensions are 3 dm and 2 dm. What is the third dimension?
- Watering can
A watering can full of water weighs 11 kg. The weight of water is 10 kg greater than the weight of an empty watering can. How much is the weight of the watering can? - Eight hours
Brigadier Franta ties a sheaf of hay in 20 minutes. Lujza, at the same time, only a quarter. How many sheaves will they tie together in 8 hours? - Rectangle Square Area Difference
In the given rectangle, the length is 12 m greater than the width. We get a square if we reduce the length by 10 m and increase the width by 2 m. The area of the original rectangle is 300 m² more than the area of the square. Determine the dimensions of th - Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400 m? - Tables
The ninth-grade students are on a day trip. In the morning, the group had refreshments at a sweet shop. They sat at tables in groups of three and filled all the seats. At lunch, they sat at tables in groups of four and again filled all the seats. There we - Pile of sand
A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand. - Lumberjacks
Fifteen lumberjacks would take 12 days to destroy the broken trees. How many days would this work require if the company added five workers to it after four days? - Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - Calories 2
Ben eats approximately 2400 calories per day. His wife Sarah eats 5/8 as much. How many calories does Sarah eat per day? - Ten cashiers
Ten cashiers are open at Tesco. Customers wait an average of 15 minutes. How many other cashiers have to open to reduce the waiting time by 4 minutes? - Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five? - Triangle α and side
Side a in the right triangle has size a = 120 mm, angle α = 60°. How big is the hypotenuse c?
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