Square (second power, quadratic) - practice problems - page 4 of 148

Number of problems found: 2957

Divisors 7
If 540=2²×3³×5, what is the number of all factors of 540?
Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height.
Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD?
The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number?
An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree.
Sides to area
If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area?
Triangular field
Find the area of a triangular field whose sides are 78m, 50m, and 112m.
Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
Mean proportional
What will be the mean proportion between 4 and 25?
Front porch
Jon's front porch is 8 feet wide and 12 feet long. Jon wants to stain the wood on the porch next weekend. The stain costs $1.00 per square foot. How much will it cost to buy enough stain for the whole porch?
Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm?
Square yards
What is 4 1/3 yards times 5 2/3 yards?
Two chords 6
A chord PQ is 10.4cm long, and its distance from the center of a circle is 3.7cm. Calculate the length of a second chord RS, which is 4.1cm from the center of this circle.
NYC block
Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block
A pattern
If I have a pattern that starts with 1, 4, 9, 16, 25... and so on, which of the following numbers would not appear?
A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.