WorksheetsГеометрийн хэмжигдэхүүн
Total questions: 120
Worksheet time: 3hrs 3mins
If the perimeter of a square is 280 cm, what is its area?
70 cm
140 cm
490 cm²
4900 cm²
If the perimeter of a square is 200 cm, what is its area?
50 cm
100 cm
250 cm
2500 cm²
If a rectangle has a length of 5 cm and a width of 4 cm, and it is divided into two equal area triangles, what is the area of one triangle?
5 cm²
9 cm²
10 cm²
20 cm²
The area of a rectangle is 1280 m² and the width is 16 m, what is its perimeter?
80
96
192
384
The area of a rectangle is 720 m² and the width is 18 m, what is its perimeter?
40
58
116
232
If the perimeter of a square is 80 cm, by how much percent will the perimeter increase if the side length is increased by 2 cm?
8
10
20
88
If the perimeter of a square is 60 cm, by how much percent will the perimeter increase if the side length is increased by 3 cm?
3
12
20
72
Find the area of the painted section.
27 m²
213 m²
240 m²
6480 m²
Find the area of the painted section.
21 m²
229 m²
250 m²
5250 m²
If the edge of a cube is 4 cm, what is the total surface area?
16
64
96
128
If the edge of a cube is 5 cm, what is the total surface area?
25
100
125
150
If the length of a rectangle is 40 cm and the width is half the length, what is its perimeter?
60
120
240
800
If the length of a rectangle is 20 cm and the width is half the length, find its perimeter.
30
60
120
200
Express the area of the given shape in cm² units. (1 square on the image equals 1/4 cm²)
5 cm²
13 cm²
18 cm²
52 cm²
Express the area of the given shape in cm² units. (1 square on the image equals 1/4 cm²)
8 cm²
9 cm²
36 cm²
64 cm²
The length of a school corridor is 24 m and the width is 18 m. If the floor is to be covered with square tiles of 15 dm side, how many tiles will be needed?
5.12
7.2
192
288
Two squares with sides of 4 cm and 5 cm are placed side by side as shown in the picture. Find the area of the painted section.
10 cm²
20.5 cm²
22.5 cm²
23 cm²
Two squares with sides of 3 cm and 4 cm are placed side by side as shown in the picture. Find the area of the painted section.
6 cm²
10.5 cm²
14 cm²
14.5 cm²
The total area of the two bases of a parallelepiped is 96 cm², the width is 4 cm, what is the height?
Find the area of the painted section.
6 cm²
10.5 cm²
14 cm²
14.5 cm²
If the total area of the two bases of a parallelepiped is 96 cm², the width is 4 cm, and the height is 3 cm, find the length of the parallelepiped.
12 cm
16 cm
24 cm
36 cm
If the total area of the two bases of a parallelepiped is 80 cm², the width is 5 cm, and the height is 4 cm, find the length of the parallelepiped.
8 cm
16 cm
26 cm
32 cm
If the length of the sides of a square is increased by 20%, by what percentage does the area of the square increase?
20%
40%
44%
80%
If the length of the sides of a square is increased by 10%, by what percentage does the area of the square increase?
10%
21%
40%
100%
If 1g of paint is needed to paint the entire surface of a cube with an edge of 2 cm, how many grams of paint are needed to paint the entire surface of a cube with an edge of 6 cm?
3g
8g
9g
24g
The area of a triangle is 81 cm² and the height of the triangle is 9 cm, find the base of the triangle.
9 cm
18 cm
27 cm
81 cm
If the base area of a cube is 144 cm², find the surface area.
432 cm²
576 cm²
864 cm²
1152 cm²
If one side of a regular hexagon is 8 m, what is the area of a square with the same perimeter as this hexagon?
24 m²
48 m²
144 m²
192 m²
Find the area of the shape. Assume 1 square unit equals 1 unit².
27 unit²
30 unit²
31 unit²
35 unit²
If one side of a regular pentagon is 40 cm, what is the area of a square with the same perimeter as this pentagon?
1600 cm²
2000 cm²
2500 cm²
40000 cm²
If the sides of a rectangle are 1 m and 2 m, which is greater, the perimeter or the area?
P is greater than S
S is greater than P
equal
no correct answer
If a rectangle has a perimeter of 32 cm and one side is three times the other, what is the volume of a 1 m deep hole made with this rectangle?
1200 cm³
3200 cm³
4800 cm³
6400 cm³
Among rectangles with a perimeter of 20 meters, which one has the largest area?
5 and 5
2 and 8
3 and 7
4 and 6
If the length of one side of a regular pentagon is 15 cm, find the perimeter.
90
75
45
60
Find the volume of a cube with an edge of 5 cm.
150 cm³
25 cm³
30 cm³
125 cm³
If the area of a square is 460 dm², what is 3/5 of the area?
23 dm
115 dm
276 dm
273 dm
What size should 3/5 of the part be?
23 dm
115 dm
276 dm
273 dm
Find the volume of a rectangular parallelepiped with a length of 25 cm, a width 7 cm shorter than the length, and a height 10 cm shorter than the length.
58 cm³
116 cm³
174 cm³
6750 cm³
If the perimeter of a rectangle is 36 cm and the width is 8 cm, find the length of the rectangle.
10 cm
28 cm
20 cm
1 cm
The volume of a room is 72 m³. If the length is 6 m and the width is 4 m, find the height.
7.2 m
36 m
3 m
62 m
According to the diagram, if one side of an equilateral triangle is 5 cm, what is the perimeter of the given shape?
135 cm
45 cm
225 cm
25 cm
If the area of a square is 100 m², find the perimeter.
40 m
50 m
200 m
25
If the sides of a right triangle are in the ratio 1:2, and one side of the smaller triangle is 8 cm, find the perimeter of the larger triangle.
24 cm
64 cm
48 cm
36 cm
If the length and width of a rectangle are increased by 4 times and 2 times respectively, how will the area change?
It will double
It will decrease by half
It will increase by 8 times
It will decrease by 8 times
If the perimeter of a rectangle is 28 cm and the width is 6 cm, find the area.
132 cm²
168 cm²
14 cm²
48 cm²
If the length of a rectangular parallelepiped is 14 cm, the width is 7 cm, and the height is 12 cm, find the surface area of the rectangle.
350 cm²
700 cm²
1176 cm²
2352 cm²
If the perimeter of a square is 24.8 dm, find the area.
12.4 dm²
38.44 dm²
153.76 dm²
24.8 dm²
If the edge length of a cube is 13 cm, find the total surface area.
2197 cm²
1014 cm²
169 cm²
1014 m²
If the volume of a cube is 125 m³, find the edge length.
15 m
5 m
25 m
125
If 3/4 of a rectangular parallelepiped is filled with milk, how many liters of milk are there?
1.44 l
0.36 l
0.12 l
0.64 l
If a square with a side of 5 m has its corners cut off by squares of 1 m and 1.5 m, what is the volume of the remaining rectangular parallelepiped?
A > B
A < B
A = B
Cannot compare
Circle the number of the shape with the largest area.
1
2
3
4
If the perimeter of a rectangle is 36 cm, as shown in the diagram, and it is divided into two square shapes, find the area of one square.
18 cm²
36 cm²
30 cm²
24 cm²
If the perimeter of an equilateral triangle is 18 cm, find the perimeter of the following shape (trapezoid).
45 cm
54 cm
90 cm
What is the perimeter of a trapezoid if the perimeter of an equilateral triangle is 18 cm?
18 cm²
36 cm²
30 cm²
24 cm²
If the perimeter of a rectangle is 20 cm, what is the area of a square with the same perimeter?
If a class lasts 40 minutes with a 5-minute break and a 30-minute lunch, what time will a 4-hour class end if it starts at 8 AM?
If you planted carrots on 2/5 of a hectare, what area did you plant?
If you reduce each side of a rectangle with sides 10 cm and 7 cm by 3 cm, by what percentage will the area decrease?
If you increase each side of a rectangle with sides 15 cm and 10 cm by 3 cm, by what percentage will the area increase?
The room is 8 m long, 6 m wide, and 3 m high, with a total window and door area of 4 m². If one roll of wallpaper covers 8 m², how many rolls are needed?
The room is 9 m long, 4 m wide, and 2 m high, with a total window and door area of 4 m². If one roll of wallpaper covers 8 m², how many rolls are needed?
If the area of a large square is 9 m², what is the area of a small square?
If you increase the width of a rectangle by 1 m and decrease the length by 5 m, it becomes a square. If the area of the rectangle is 91 m², what is the area of the square?
What is the area of a large shape? What is the area of a small shape? What is the area of the painted shape?
What is the area of the floor of the room? What is 7/12 of the floor area? If 250 g of paint is needed for 1 m², how much paint is needed for 42 m²?
If the wall of the classroom is 10 m long and 3 m high, and 6/10 of the wall area is painted, how much paint is used if 325 g of paint is needed for 1 m²?
If the area of a square is 100 cm² and the difference between the length and width of a rectangle with the same perimeter is 2 cm, what is the area of the rectangle?
If the sum of the length and width of a rectangle is 40 cm, what is the perimeter? If the perimeter of a square is 80 cm, what is the area?
If one kilogram costs 5100 tugrik and another candy costs 8000 tugrik, and you paid 131000 tugrik, how much did you pay for each candy if you bought equal amounts?
If a horse travels at 18 km per hour, and if it travels at 24 km per hour, it will arrive 30 minutes early. How far should the horse have traveled?
If 5/8 of a rectangle with a length of 12 cm is painted and the painted area is 45 cm², what is the width of the rectangle?
How many kilometers did the horse have to travel?
If the length of a rectangle is 12 cm and 5/8 of it is painted, and the painted area is 45 cm², what is the width of the rectangle?
In a county, 0.62 of all land is agricultural land, 0.4 is meadow, and the remaining 0.1 is forest, with the forest being 123.12 hectares. What is the total area of all land in this county?
The edge of a cube is 3.5 dm. If the edge length is increased by 0.5 dm, how will the volume of the cube change?
If the length of a brick is 24 cm, width is 12 cm, and thickness is 6 cm, find the volume of 2500 bricks in cubic decimeters.
In one storage, there are 429 tons 510 kg of vegetables, and in another storage, there is an amount of potatoes equal to 2/5 of that. If 55% of the total vegetables are potatoes, how many kilograms of potatoes were there in total?
A farmer planted potatoes on 7/10 of a 350 ha field and carrots on the remaining area. If 18 quintals of potatoes and 13 quintals of carrots are harvested per hectare, how many quintals more were harvested from potatoes than from carrots?
The perimeter of each hexagon is 24 cm. a. Find the perimeter of the figure consisting of hexagons. b. Express the length in meters.
The perimeter of each equilateral triangle is 36 cm. a. Find the circumference of the figure. b. Express the length in decimeters.
The edge of a cube-shaped container is 30 cm, and 3/9 of it is filled with water. How many liters of water were poured into the container?
The area of a rectangle is 882 m². If one side is 63 m, find the perimeter of this rectangle.
If the edge length of a cube is 7 dm, find the total surface area.
The perimeter of each hexagon is 24 cm. Find the perimeter of the drawn figure.
The area of a rectangle is 40 m², and the length is 8 m. Find the perimeter.
A passenger had 5000 tugrik. He pays 800 tugrik for a 1 km taxi ride. How much will the passenger pay for a 4.8 km ride? Will the passenger have any money left?
A gardener planted potatoes and carrots in his vegetable field. The following image shows the dimensions of the vegetable field, please calculate according to the following steps.
Find the length of the fence around the vegetable field.
Find the area of the carrot and potato fields.
To make the area of the carrot field twice as large as the potato field, by how much should it be enlarged? Please illustrate in the drawing.
A gardener planted potatoes and carrots in his vegetable field. The following image shows the dimensions of the vegetable field, please calculate according to the following steps.
Find the length of the fence around the vegetable field.
Find the area of the carrot and potato fields.
To make the areas of the potato and carrot fields equal, which area should be enlarged and by how much? Please illustrate in the drawing.
What is the area of the rectangle?
To make the area of the potato and carrot fields equal, which area should be enlarged and to what size?
Is Boldoo's answer correct if he calculated the area of the given rectangle as 24 cm² and the perimeter as 20 cm?
Yes
No
Explain why Boldoo's answer is wrong if he claims that the area and perimeter of rectangle PQRS are twice that of the original rectangle.
What is the maximum value of the area of a rectangle that has the same perimeter as rectangle PQRS?
Is Boldoo's answer correct if he calculated the area of the given rectangle as 14 cm² and the perimeter as 12 cm?
Yes
No
Explain why Boldoo's answer is wrong if he claims that the area and perimeter of rectangle PQRS are twice that of the original rectangle.
What is the maximum value of the area of a rectangle that has the same perimeter as rectangle PQRS?
What is the area of the carrot planting field?
4000 m²
5000 m²
6000 m²
7000 m²
If the area is reduced by 60%, what is the new area?
70 cm²
28 cm²
40 cm²
50 cm²
What is the area of the rectangle with dimensions 13m x 7m?
91 m²
100 m²
80 m²
70 m²
What is the total area after subtracting 120 m² from 648 m²?
528 m²
600 m²
500 m²
450 m²
What is the area of a square with a side length of 10 cm?
100 cm²
200 cm²
150 cm²
250 cm²
What is the total length of the frame if one side is 40 cm?
160 cm
180 cm
200 cm
220 cm
What is the volume of a cube with a side length of 3.5 dm?
42.875 dm³
50 dm³
30 dm³
20 dm³
What is the total weight of potatoes harvested?
601314 kg
500000 kg
700000 kg
800000 kg
What is the area of the shape if one side is 4 cm?
16 cm²
20 cm²
24 cm²
28 cm²
What is the area of the shape if one side is 12 cm?
144 cm²
150 cm²
160 cm²
170 cm²
What is the area of a square with a perimeter of 280 cm?
70 cm
140 cm
490 cm²
4900 cm²
What is the surface area of a cube with an edge length of 13 cm?
2197 cm²
1014 cm²
169 cm²
1014 m²
A rectangular parallelepiped container has 34 parts filled with milk. How many liters of milk were used?
Draw the number of the shape with the largest area.
The volume of a room is 72 m³. If the length of the room is 6 m and the width is 4 m, what is the height?
7.2 m
36 m
3 m
62 m
What is the total surface area of a cube with an edge of 5 cm?
25
100
125
150
If the length of a rectangle is 40 cm and the width is half the length, what is the perimeter?
60
120
240
800
