Cho đơn thức A = $\left( \frac{3}{5}{{x}^{2}}{{y}^{2}}z \right)\left( \frac{-40}{9}xyz \right)$ . Xác định hệ số của đơn thức A ?

Trong các biểu thức đại số sau, biểu thức nào là đơn thức ?

Tích của hai đơn thức $2{{x}^{2}}yz$ và $(-4x{{y}^{2}}z)$ bằng:

Đơn thức $-\frac{1}{3}{{y}^{2}}{{z}^{4}}9{{x}^{3}}y$ có bậc là:

Đơn thức $-3{{x}^{2}}{{y}^{5}}{{z}^{3}}$ có bậc là:

Cho đơn thức: M = $(-2{{x}^{2}}y){{\left( -\frac{1}{2}x{{y}^{2}} \right)}^{2}}$ . Tính giá trị của M tại $x=\frac{1}{2}$ ; $y=-1$ ?

A rectangle which has a width  of 15 cm and the length of 36 cm is rotated about of a point along a stranght line as shown below.

Find the length of the path travelled by Point A given that the diagonal of the rectangle is 39cm ( Take $\pi $ = 3.14 )

In the figure below, a rectangle is divided into four regions. AC is the diagonal line. The area of Region S is 35% that of the rectangle. Given that the area of Region Q is 30 m², find the area of the rectangle.

In the figure below, the rectangle is made up of nine squares. The two smallest squares have lengths of 3 cm and 6 cm respectively. Find the area of the shaded region

In the figure, $\frac{2}{7}$ of Circle A is shaded. $\frac{4}{9}$of Circle B is shaded and $\frac{2}{5}$ of Cirle C is shaded. The sum of the area of Circles B and C is $\frac{2}{3}$ that of Circle A. Find the ratio of the area of Circle A to that of Circle B to that of Circle C.

The area of a parallelogram is given as b x h where b is its base and h is its height. The parallelogram shown below is subdivided into four parallelograms of different sizes. The areas if regions A, B and C are 45 cm², 30 cm² and 60 cm² respectively. Find the area of region D.

In the figure below, the area of the shaded region is 35 cm². Find the area between the big circle and the small circle. (Take  = 3.14 )

In the figure below, the side of the triangle is 7 cm. Find the distance travelled by Point A when the equilateral triangle is rotated along the straight line 63 times. (Take  = 22/7 )

A trapezium has two parallel sides. Its area can be calculated using the formula ( base 1 + base 2 ) x height : 2

Given that AD = 6 cm, BC = 12 cm, AB = 8cm and EC = 7.5 cm, find the length of DE if BE divides the trapezium into two equal halves.

The figure below is made up of six squares. Find the length of the side of the biggest square given that the area of the shaded region is 2 cm².

In the figure below, the perimeter of the circle is 20.4 cm. Its area is the same as the area of the rectangle.

Find the perimeter of the shaded region.

The figure below is made of nine identical squares and has a perimeter of 80 cm. Find the length of the side of each square.

What is the perimeter of the figure below ?

In the figure below, the big square is made up of a small square and four idential rectangles. The area of the big square is 196 cm². The area of the small square is 36 cm². What is the width of each rectangle ?

ABCD is a square of side 30 cm. Given that CG = 2BG, AH = 2BH, AE = 2DE and CF = 2DF, find the area of rectangle EFGH.

A rectangular garden, with dimensions 60 m by 40 m, has a pathway of width 3 m as shown below. Find the area of the garden.

In the figure below, the shaded part is the overlapping part of the two identical squares. The perimeter of the shaded part of is 26 cm. What is the perimeter of the rectangle ?

The figure shows a rectangular piece of land. The shaded region is a piece of land which is plotted for other purposes. The difference in area between the rectangular land and the square land is 135 m². Find the length of the rectangular land.

Part of a piece of square land is used for some purposes as shown shaded in the figure. The remaining plot of land has an area 1540 m²  less than its original area. Find the length of the side of the original plot of land.

In the figure below, E and F are midpoints of the length and breadth of the rectangle respectively. Find the area of the shaded region if the area of the unshaded region is 45 cm².