Maths practice for 14 year olds - page 293 of 362
Number of problems found: 7230
- Students
Three students sit in the front row, and 11 students sit in every other row, more than in the previous row. Determine how many students are in the room when the room is nine lines and how many students are in the seventh row. - Harvesters
The first harvester reaps the grain from the land for 24 hours, and the second harvester for 16 hours. How many hours will it take to harvest by two harvesters, but the second harvester started working four hours later than the first? - Flowerbed
The family has tulips on a square flower bed of 6 meters. Later, they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace was divided by the side of - Arithmetic sequence
a1 = 1 s40 = 1600 a40 =? - Savings total
Michelle and Sarah have saved 220 CZK together. They went on a pilgrimage; Michelle took one-quarter of her savings, and Sarah took one-fifth of her savings. Both of them together had 50 CZK for the pilgrimage. How much did Michelle and Sarah save in tota - Farm animals
Grandfather keeps 40 animals — geese, pigs, goats, and chickens—in total. There are 3 geese for every goat. If there were 8 fewer chickens, there would be as many geese and pigs combined. If Grandpa exchanged a quarter of the geese for chickens at a ratio - Copper plate
Calculate the thickness of the copper plate with a density of 8.7 g/cm³ measuring 1.5 meters and 80 cm, and its weight is 3.65 kg. - Programmer reward
Three programmers received a joint reward of €21,000. The money was divided according to their work contributions. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them receive? - Reservoir filling
The water reservoir is filled with one inflow in 30 hours and the other in 40 hours. Both tributaries were opened for some time, then the other tributary closed, and the reservoir filled in 5 hours. How long did the water flow in both tributaries at the s - Projectile height
A 100 g body is ejected vertically upwards from the surface of the Earth at an initial speed of 30 m/s. Determine the height at which the body rises and its potential energy at the path's highest point. - Road cleaning
Eight workers in 6 days sweep 2400 m² roads. How many m² will six workers clean in 4 days? - Motel
Three different dinners, A, B, and C, are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, a - Rhombus OWES
OWES is a rhombus, given that OW is 6 cm and one diagonal measures 8 cm. Find its area? - Function intersection
Intersection of graphs of functions y = 5x-2 and y = -3x-6 - Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long? - Working together
One painter painted the nursery in 10 days, the second in 8 days. How many days will the nursery be painted if they work together? - Rain probability
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18? - Water solution
How many grams of salt should we dissolve in 400 g of water to get a 20% solution? - Triangle sides
Calculate the size of the sides and angles of the triangle ABC if you know vc = 28, α = 51°19', β = 67°38'. - Trees
A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
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