Square (second power, quadratic) - practice problems
Number of problems found: 2723
- A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
- Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
- Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
- The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
- A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field.
- Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make?
- 765 chairs
765 chairs are arranged in rows in such a way that the number of chairs in each row is equal to the number of rows. How many chairs needs to be removed to complete this arrangement?
- Mowing lawn
Tara is mowing her lawn. She mows 3/5 of her 925-square-meter lawn before stopping to chat with a neighbor. How many square meters does Tara have left to mow after chatting with her neighbor?
- The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares.
- A baseball
A baseball is hit over the 325 foot fence, which is 110 feet tall. How far did the ball carry on a straight line when it reached the fence?
- Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches.
- Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
- A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum.
- A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the center of the circle.
- Isosceles triangle 17
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
- Spheres - ratios
The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes.
- Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle.
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