Maths practice for 14 year olds - page 283 of 375
Number of problems found: 7492
- Trapezoid MO-5-Z8
ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trapezoi - Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start? - Bottle tube
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube? - Car overtaking
From place A, the cyclist drove at a speed of 24 km/h. They sent a car behind him an hour later, traveling at 60 km/h. When and how far from place A will a cyclist travel? - Clothing cost
He bought a T-shirt, a tie, and a shirt. The tie was three times cheaper than the shirt, and the T-shirt was 70 CZK more expensive than the tie. He paid a total of 470 CZK. How much did he pay for a tie, a T-shirt, and a shirt? - Doubling
The message is spreading that each day has doubled the number of people who know about it. All know a message for 20 days. How long known it, eighth people? - A ball
A ball and a plush toy cost 32.80 euros. How much does a ball cost if it is € 9.50 cheaper than a toy? - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) gives remainder 4. - Two numbers
I think two numbers. Their sum is 36, and their difference is 14. What are the numbers? - Pencils and sharpeners
Pavel bought three pencils and a sharpener in a stationery store and paid 29 CZK. Jane ordered two pencils and two sharpeners, and her purchase price was CZK 46. How much cheaper is a pencil than a sharpener? - One percent
One percent of all the lights in the city are LED, and the remaining 99% are conventional. Other types are not there. John counted them honestly, but he had counted only conventional. After a good dinner, he registered numbers, and he gave notice that fro - Cakes Z8-I-5
Mom brought ten cakes of three types: coconut was less than Meringue Cookies, and most were caramel cubes. John chose two different kinds of cakes. Stephan did the same, and Margerith left only the same type of cake. How many coconuts, Meringue Cookies an - Probably member
Look at the series 2,6,25,96,285, ? What number should come next? - Rainfall
The annual average rainfall in India was 26 461 mm in Cherrapunji in 1981. How many hectoliters of water fell on one square meter? Would you fit this amount of water into a cube of three meters? - Midpoint triangle
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF? - Vineyard
While visiting a winery, the family bought a total of 32 liters of wine in bottles of 0.7 liters and 1 liter. The ratio of the number of larger bottles to smaller bottles is 9:10. The price of a smaller bottle of wine was 120 CZK and a larger bottle was 1 - Hotel capacity
The hotel's capacity is, in total, 30 quiet rooms. Double rooms are x. The rest are triples. Express in terms of the maximum number of guests. - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Container weight
The weight of the water container is 2.48 kg. If we pour 75% of the water, the container with water weighs 0.98 kg. Find the weight of the empty container. How much water was originally in the container? - Salt solution
How many grams of table salt and water do we weigh to prepare 500 g of a 15% solution?
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