Square (second power, quadratic) - practice problems - page 2 of 150
Number of problems found: 2994
- 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. - Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is - A ladder 2
A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall. - The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one. - Rhombus tiles
The floor of a building consists of 3000 rhombus-shaped tiles, and each of its diagonals is 45 cm and 30 cm in length. Find the cost of polishing the floor at the rate of $4 per square meter. - Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square. - Sum of squares
If the first number is 80% of the second number and 4 times the sum of their squares is 656, find the numbers. - Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
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