Examples for secondary school students - page 221 of 222
Number of problems found: 4432
- Angles in triangle
The triangle is the ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What is the size of the angles of the triangle?
- Jewel
Rhombus-shaped jewel has an area of 93 mm², and the edge is long 13.2 mm. Calculate the size of the acute rhombus angle.
- Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °.
- Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?
- Rectangle
The area of a rectangle is 546. Its length is 25 larger than the width. What are the dimensions of the rectangle?
- Cube - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base.
- Playing cards
How many possible ways are there to shuffle 8 playing cards?
- Triangle SAA
The triangle has one side long 23 m, and its two internal angles are 60°. Calculate the perimeter and area of the triangle.
- Square and circles
Square with sides 68 km is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 82 cm, |BC|=60 cm, |CD|=19 cm, |AD|=39 cm..
- Quadratic equation
Solve a quadratic equation: 2x²+28x-550=0
- Ships
At 0:00, the ship set sail at 22 km/h. At 9:00 followed by 43 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake?
- School trip
The class has 19 students. How can students be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms? (Each room has its unique number)
- Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)?
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if
- Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55.
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL) if the track is 158 km long.
- Party
At the party, everyone clinked with everyone. Together, they clink 406 times. How many people were at the party?
- N-gon
How many diagonals have convex 30-gon?
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