Examples for secondary school students - page 101 of 213
Number of problems found: 4256
- Heights 8157
The heights of Jirka and David are in the ratio of 5: 3. Jirka is 60 cm taller than David. How much does Jirka measure? - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Three-holiday 8149
During the holidays, 159 pupils were accommodated in three holiday cottages marked with the letters A, B, and C. There were 8 more pupils accommodated in cottage B than in cottage A and 14 more pupils in cottage C than in cottage B. How many pupils were a - Geese and piglets
There were geese and piglets in the yard. Jane calculated that they have a total of 20 heads and 64 legs. How many geese and how many piglets were in the yard?
- Three-euro 8145
Martin bought two-euro and three-euro stickers for 65 euros. There were five times more than two euros. How many stickers of all kinds did Martin buy? - Potatoes
For three days, the store sold 1400 kg of potatoes. On the first day, they sold 100 kilograms of potatoes less than on the second day. On the third day, three-fifths of what they sold the first day. How many kgs of potatoes are sold every day? - Double-colored 8143
Krejčová bought a total of 13 m of double-colored fabric for 1,037 euros. One meter of blue fabric costs 89 euros, and one meter of gray fabric costs 74 euros. How many meters of blue and how many meters of gray fabric did the seamstress buy? - Circumference 8142
Divide a rectangle with sides 60 mm and 84 mm long into three rectangles with the same circumference. - Nine books
Nine books are to be bought by a student. Art books cost $6.00 each, and biology books cost $6.50 each. If the total amount spent was $56.00, how many of each book were bought?
- Kilometers 8138
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day? - Rocket start
The body launched vertically up returns to the start site in 6 seconds. What height did it have? - Determine 8133
Determine the distance between two places, M, and N, between which there is an obstacle so that place N is not visible from place M. The angles MAN = 130°, NBM = 109°, and the distances |AM| = 54, |BM| = 60, while the points A, B, and M lie on one straigh - Raindrops
The train is moving at a speed of 60 km/h. Raindrops falling vertically in the absence of wind (with uniform movement due to the action of air resistance) leave traces on the windows of the train, deviating from the vertical direction by 30°. How fast are - Measurements 8129
The plane flies at an altitude of 22.5 km to the observatory. At the time of the first measurement, it was seen at an elevation angle of 28° and during the second measurement at an elevation angle of 50°. Calculate the distance it flies between these two
- (dromedaries) 8122
The zoo has ten camels, including bipedal camels (drabers) and single-humped camels (dromedaries). They have a total of 14 humps. Determine the number of auctioneers in the ZOO. - Percentage increase
Increase the number 400 by 3.5% - Dimensions 8111
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s
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