Maths practice for 14 year olds - page 205 of 376
Number of problems found: 7511
- 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
- Quadrilateral 8060
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. 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 ratio of two numbers are equal to 10. Which numbers are they?
- 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?
- Dimensions 8044
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 400m?
- Tables
The ninth-grade students are on a day trip. In the morning, the trippers had refreshments at a candy store. They sat down at tables in groups of three and took all the seats. At lunch, they sat down at a table in groups of four and again took all the seat
- 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.
- 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.
- Seed germination
Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants?
- 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?
- Coins
The boy collected coins with values of 5 CZK and 2 CZK when he had 50 pieces saved 190 CZK. How many he has each type of coin?
- The ladder - RT
The ladder 16 feet reaches up 14 feet on a house wall. The 90-degree angle at the base of the house and wall. What are the other two angles or the length of the leg of the yard?
- Kilometers 8021
The pedestrian walks at a speed of 4.3 km/h. In 1 hour and 10 minutes, a cyclist followed him at an average 18 km/h speed. How many minutes will a cyclist reach a pedestrian, and how many kilometers will he travel?
- Represented 8020
The race was divided into four stages. The length of Stages 1 and 4 was 160 km. The length of the second stage represented a third of the total length of the race. The length of the 4th stage was twice as long as the third stage. What percentage of the to
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