Square (second power, quadratic) - practice problems - page 6 of 145
Number of problems found: 2889
- Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ...
- Cuboid - sum of edges length
Calculate the cuboid's dimensions if the sum of its edges is 19 cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².
- FGH right triangle
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm, what is g?
- Evaluate 37
Evaluate the function K(x) = 2x²+3x-2 what is the value of K(½)
- Suppose 12
Suppose in a physics test involving 30 students, and four scored 75%, eight scored 60%, twelve scored 50%, and six scored 30%. Calculate the mean of the group and the standard deviation.
- A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume.
- Fredrik
Fredrik knows that x² + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b.
- Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle?
- The rectangle 6
The rectangle shown has a length (l) of 8 and a width (w) of 6.2. A second rectangle has a length of l + 2.5 and a width of w - 1.4. Find the area of the SECOND rectangle. (The area is in square units.)
- Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What
- A student 5
A student took the measurements of his classroom and gave the width as 7m and the length as 9m. If there is an error of 2 percent in measurement, determine the greatest value of [X+Y]/X if X and Y are the width and length of the classroom, respectively. G
- Colour
The square is divided into 100 squares. If you needed to color 49%, how many squares would you color?
- Coefficient of skewness
For the data set whose Karl Pearson's Coefficient of skewness = -2.25, variance is 16, and Mean is 35, then its median value will be:
- A lamp
A lamp shade like that of a frustum has a height of 12 cm and an upper and lower diameter of 10 cm and 20 cm. What area of materials is required to cover the curved surface of the frustum?
- Student examination
How many ways can a teacher select a group of 6 students to sit in the front row if the class has 13 students?
- A lighthouse
A lighthouse overlooks a bay, and it is 77 meters high. From the top, the lighthouse keeper can see a yacht southward at an angle of depression of 32 degrees and another boat eastward at an angle of 25 degrees. What is the distance between the boats?
- A single
A single, standard number cube is tossed. What is the probability of getting a number greater than 3?
- The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area.
- Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second?
- The number 7
The number of faulty units in a carton of a particular product is known to be normally distributed with a Mean of 10 and a variance of 25. What portion of a given carton of the product is expected to contain___ faulty units? (I) less than 8 (ii) more than
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