Examples for secondary school students - page 217 of 230
Number of problems found: 4586
- Mean
If the mean of the set of data 12, 14, 16, 10, 1, 20, 19, 13, 3, 11, 11, 17, 14, 16, 5, x is -10.8, what is the value of x? - Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c. - Cone
If the segment of the line y = -2x +3 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone? - Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism? - Negative percentage
In 2006, the company had a loss of 11100 Euros. Two years later, he was already in profit 50000 Eur. Calculate the percentage of the company's profits that increased in these two years. - Drinking water
A man drinks a keg of water in 21 days, and a woman drinks in 43 days. How many days do they consume a keg together? - Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm? - Coordinate
Determine the unknown coordinate of the point M [x, 54] of the graph of the function f by rule: y = 3x - Count of triangles
On each side of an ABCD square is 10 internal points. Determine the number of triangles with vertices at these points. - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Triangle and its heights
Calculate the length of the sides of the triangle ABC if va=13 cm, vb=15 cm and side b are 5 cm shorter than side a. - Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river. - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Sequence
Write the first 7 members of this sequence: a1 = 8 a2 = -9 an+2 = an+1 +4 an - Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - Null points
Calculate the roots of the equation: -1 |x +7| +1 |x +4| -2 |x -6| = 63 - Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it? - Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting? - Team
The football team has 11 players. Their average age is 19 years. During the match, one player withdraws due to injury, and the team's average age is 16. How old was the injured player?
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