Math practice for 13 year olds - page 334 of 413
Number of problems found: 8260
- 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 - Quadrilateral construction
Construct a quadrilateral ABCD with dimensions AB, BC, AC, BD, and angle d = CDA. - Engine pulley
The engine has a 1460 rev/min (RPM). The disc diameter is 350 mm. What will be the peripheral disc speed in RPM? Pulleys on the engine have a diameter of 80 mm, and a disc has a diameter of 160 mm. - Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?): - 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 - Cities distance
The bus from Prague to M. Lázně travels at a speed of 36 km/h. At the same time, a car left Mariánské Lázně in the direction of Prague at a speed of 52 km/h. After the 90-minute journey, the two vehicles are still 30 km apart. What is the distance between - 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? - The glass
The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cu - Preparatory test
Less than 50 pupils go to 9A class. A third of the pupils wrote the preparatory test with a one, a quarter with a two, no one wrote with a three, and nine pupils with a four. How many students from 9A wrote the test with a five? - Ratio expressions
Express as a ratio: a/ There are 200 boys and 300 girls in the school. b/ The number of chocolates eaten will triple on Nicholas Day. c/ During the holidays, the number of bus passengers decreased by a quarter.
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