Square (second power, quadratic) - practice problems - page 3 of 150
Number of problems found: 2994
- Squares of odd
Find the average of squares of consecutive odd numbers from 1 to 13. - Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number. - In football
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards; how far apart were the ball carrier and defender when they star - The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers. - South and then east
William walks 16 m south from his house and turns east to walk 63 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning? - Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters? - Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN. - A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water. - Of three
Of three positive numbers the product of the first and second is 42, second and third is 56 and that of third and first is 48. Find the third number. - Spheres to cone
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed. - The square - midpoints
The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD. - Ones cube
Find the volume of a cube whose total surface area is 6 m². - Angle of elevation
The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many meters? - A random 2
A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month. - A student 8 A student was asked to write 25 * 9² . By mistake he write 2592. Find the difference.
- The cuboid 2
If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - The frustum
A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum. - Height or altitude
Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm. - Mean proportional
If x+7 is the mean proportional between (x+3) and (x+12), find the value of x . - The length 19
The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm², what are its dimensions?
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