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Geometry and Measurement Quiz

Total questions: 81

Worksheet time: 41mins

Name
Class
Date
1.

In relation to the triangles in the figure, it can be stated that:

a)

Triangle B is six times taller than triangle A.

b)

Triangle A is three times shorter than triangle B.

c)

Triangle B is twice as tall as triangle A.

d)

Triangle A is twice as tall as triangle B.

2.

The area of the clay tile in relation to the mold area is:

a)

Half.

b)

A quarter.

c)

Double.

d)

Quadruple.

3.

The quadrilateral similar to quadrilateral MNPQ is:

a)

Option A

b)

Option B

c)

Option C

d)

Option D

4.

To reduce the perimeter of the rectangle to half, the measure of each side should be:

a)

Divided by 2.

b)

Multiplied by 2.

c)

Increased by 2 units.

d)

Divided by 3.

5.

To build a miniature of this tower that is 8 times smaller than the original, one should:

a)

multiply the dimensions of the original by 8.

b)

divide the dimensions of the original by 8.

c)

multiply the dimensions of the original by 4.

d)

divide the dimensions of the original by 4.

6.

For the new project, the dimensions were:

a)

multiplied by 2.

b)

divided by 2.

c)

subtracted by two units.

d)

divided by 4.

7.

Given the statement, one should:

a)

multiply the initial area by 4.

b)

divide the initial area by 4.

c)

multiply the initial area by 2.

d)

divide the initial area by 2.

8.

By doubling the length of the sides of the figure below, its area becomes:

a)

tripled

b)

unchanged

c)

doubled

d)

quadrupled

9.

Nessa área, Luísa quer construir uma quadra de esportes com o dobro das dimensões desse jardim. Para representar essa quadra, quantos quadradinhos ela utilizará?

a)

36

b)

72

c)

144

d)

288

10.

Duplicando-se as medidas dos lados desse polígono, o perímetro do novo polígono ficará

a)

dividido por 2.

b)

dividido por 4.

c)

multiplicado por 2.

d)

multiplicado por 4.

11.

As medidas de todos os lados foram reduzidas pela metade. Qual figura representa a nova cruz?

a)

Figura A

b)

Figura B

c)

Figura C

d)

Figura D

12.

Nessa situação, a medida da área da Figura 2 é igual

a)

à metade da medida da área da Figura 1.

b)

à metade da área da Figura I.

c)

ao dobro da medida da área da Figura 1.

d)

ao quádruplo da medida da área da Figura 1.

13.

The gray painted part is

a)

double the area of the square.

b)

half the area of the square.

c)

equal to the area of the square.

d)

triple the area of the square.

14.

The perimeter of the smaller square is Pu, with u being the unit of length. It is correct to say that the perimeter of the larger square is

a)

4P u

b)

(P + 8) u

c)

(P + 4) u

d)

2P u

15.

If the outline of cat I measures p cm, what is the measurement, in cm, of the outline of cat II?

a)

6 p

b)

3 p

c)

2 p

d)

1.5 p

16.

The measurements of all sides have been doubled. The new polygon similar to the figure above is

a)
b)
c)
d)
17.

What happens to the sides and angles of a triangle if it is enlarged 5 times?

a)

The sides will be 5 cm each, and the angles will be the same.

b)

The sides and angles will be multiplied by 5.

c)

The sides will be multiplied by 5, and the angles will remain the same.

d)

The sides will be the same, and the angles will be multiplied by 5.

18.

Which student gave the correct answer about enlarging the triangle?

a)

Paulinho

b)

Aninha

c)

Marquinho

d)

Betina

19.

By what factor were the lengths multiplied to keep the cat drawing unchanged?

a)

2

b)

3

c)

4

d)

5

20.

What should you do to make the kite five times bigger?

a)

Divide the current dimensions of the kite by 5.

b)

Multiply the current dimensions of the kite by 5.

c)

Multiply the current dimensions of the kite by 2.

d)

Divide the current dimensions of the kite by 2.

21.

Which option shows the enlarged version of the given grid figure?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

22.

Which figure represents an enlargement or reduction of the given shape?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

23.

Who correctly enlarged the figure?

a)

Ana

b)

Bernardo

c)

Célia

d)

Diana

24.

The new project will have an area:

a)

2 times larger than the first.

b)

3 times larger than the first.

c)

4 times larger than the first.

d)

6 times larger than the first.

25.

The enlargement of the larger drawing was by how many times?

a)

2

b)

3

c)

4

d)

5

26.

Which image represents the enlargement of the figure that Ana drew?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

27.

Then, she drew a figure of the same shape but doubled its dimensions. What figure did she obtain?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

28.

What is the area of Figure I compared to Figure II?

a)

Two times the area of Figure II.

b)

Four times the area of Figure II.

c)

Six times the area of Figure II.

d)

Eight times the area of Figure II.

29.

How many times is the perimeter of Figure 2 larger than the perimeter of Figure 1?

a)

Two.

b)

Three.

c)

Four.

d)

Nine.

30.

Which of the figures below represents a reduction of the letter T?

a)
b)
c)
d)
31.

Which figure represents a reduction in the same grid pattern, in the ratio of 2 to 1?

a)
b)
c)
32.

What is the area of triangle 2 if the area of triangle 1 is 2 cm²?

a)

4 cm²

b)

8 cm²

c)

10 cm²

d)

16 cm²

33.

If Paulo draws a rectangle with sides twice the length of the original rectangle, what will be the area of the new rectangle?

a)

6 cm²

b)

12 cm²

c)

18 cm²

d)

24 cm²

34.

According to figure II, what is the enlargement factor?

a)

4/3

b)

3/2

c)

2

d)

3

35.

Considering each square side is 1 cm, how did the area and perimeter change from figure 1 to figure 2?

a)

Doubled and tripled

b)

Tripled and doubled

c)

Quadrupled and doubled

d)

Doubled and quadrupled

36.

Qual é a medida do perímetro da nova figura obtida?

a)

40 cm

b)

80 cm

c)

160 cm

d)

240 cm

37.

Se Lucas fizer um novo desenho desta peça, porém com os lados dobrados, o que ocorrerá com o perímetro da nova figura?

a)

Ficará multiplicado por 2.

b)

Ficará multiplicado por 4.

c)

Ficará dividido por 2.

d)

Ficará dividido por 4.

38.

Sabendo que os lados dos quadradinhos medem 1 cm, quanto mede o lado apagado na figura 2?

a)

4,5 cm.

b)

6,0 cm.

c)

7,5 cm.

d)

9,0 cm.

39.

Este estacionamento terá seu espaço aumentado, de tal forma que suas dimensões serão dobradas. Assim, no novo esquema a representação ocupará um total de:

a)

16 quadradinhos.

b)

24 quadradinhos.

40.

Uma redução da figura que Pedro desenhou é:

a)

uma figura semelhante, porém menor.

b)

uma figura idêntica, porém maior.

c)

uma figura completamente diferente.

d)

uma figura com ângulos diferentes.

41.

A figura 2 é uma ampliação da figura 1. Logo, o perímetro do novo polígono é:

a)

a metade da figura 1.

b)

o dobro da figura 1.

c)

o triplo da figura 1.

d)

o quádruplo da figura 1.

42.

A figura que é uma redução da figura I é:

a)

II

b)

III

c)

IV

d)

V

43.

A figura que é uma ampliação do avião de Carlos é:

a)

I

b)

II

c)

III

d)

IV

44.

Uma figura ampliada duas vezes quer dizer que:

a)

seu perímetro aumentará duas vezes.

b)

sua área aumentará duas vezes.

c)

suas dimensões diminuirão duas vezes.

d)

sua área aumentará três vezes.

45.

A medida do perímetro da figura 1 é igual

a)

à metade da medida do perímetro da figura 2.

b)

à medida do perímetro da figura 2.

c)

ao dobro da medida do perímetro da figura 2.

d)

a quatro vezes a medida do perímetro da figura 2.

46.

O perímetro da figura II, em relação ao da figura I, ficou:

a)

reduzido à metade;

b)

inalterado;

c)

duplicado;

d)

quadruplicado.

47.

A melhor representação da ampliação dessa figura é

a)
b)
c)
d)
48.

A área da figura II tem

a)

A metade da área da figura I.

b)

O dobro da área da figura I.

c)

O triplo da área da figura I.

d)

O quádruplo da área da figura I.

49.

Pode-se afirmar que

a)

O perímetro da figura II é o triplo do perímetro da figura I.

b)

A área da figura II é o quádruplo da área da figura I.

c)

A área da figura II é o quíntuplo da área da figura III.

50.

What is the perimeter of Figure III if it is double the perimeter of Figure I?

a)

The same as Figure I

b)

Half of Figure I

c)

Double of Figure I

d)

Triple of Figure I

51.

Lúcia plants flowers in a rectangular bed with an area of 3 m². She triples all dimensions while keeping the shape rectangular. What is the new area of Lúcia's bed?

a)

6 m²

b)

9 m²

c)

18 m²

d)

27 m²

52.

Which of the following is an enlargement of the given drawing on the grid?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

53.

What are the measurements of the heights of each fish?

a)

10 cm and 6 cm

b)

10 cm and 5 cm

c)

6 cm and 3 cm

d)

6 cm and 4 cm

54.

Which figure corresponds to an enlargement of Figure I?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

55.

Which pair of figures are similar?

a)

I and V

b)

I and III

c)

II and IV

d)

III and IV

56.

According to the drawings, the area of figure 2 is how many times the area of figure 1?

a)

Two times

b)

Three times

c)

Four times

d)

Five times

57.

Which figure represents a reduction of the given figure?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

58.

How many times larger is the area of figure Q compared to figure P?

a)

2 times

b)

4 times

c)

6 times

d)

8 times

59.

How many times larger is the perimeter of parallelogram M compared to parallelogram P?

a)

2 times

b)

4 times

c)

6 times

d)

8 times

60.

If the area of figure P is x m², what is the area of figure Q?

a)

2x m²

b)

x² m²

c)

2x m²

d)

4x² m²

61.

How many times larger is the area of figure Q compared to figure P?

a)

2

b)

3

c)

4

d)

5

62.

Which of the following reductions has an area four times smaller than letter E?

a)
b)
c)
d)
63.

Considering squares 1, 2, and 3 on the grid, where each small square has an area of 1, what is the relationship between the areas A₁, A₂, and A₃?

a)

A₃ = 8 · A₁

b)

A₃ = 4 · A₂

c)

A₃ = 2 · A₂

d)

A₃ = 6 · A₁

64.

Observe the gray-colored figure in the grid. Isabel wants to create a new figure with an area four times larger by coloring more squares. How many squares does Isabel need to color?

a)

20

b)

40

c)

60

d)

80

65.

Using the square as a unit of measurement to compare the areas of figures P and Q, which statement is correct?

a)

The area of figure Q is equal to the area of figure P.

b)

The area of figure Q is twice the area of figure P.

c)

The area of figure Q is three times the area of figure P.

d)

The area of figure Q is four times the area of figure P.

66.

In the grid below, a figure and its reduced version are shown. What is correct to say about the area of the reduced figure?

a)

It is equal to the area of the larger figure.

b)

It is half the area of the larger figure.

c)

It is one-third the area of the larger figure.

d)

It is one-fourth the area of the larger figure.

67.

Alice created a new grid with squares of 2 cm sides. She drew a figure similar to the gray-colored figure shown. What is the area of the figure drawn by Alice?

a)

4 cm²

b)

5 cm²

c)

10 cm²

d)

20 cm²

68.

Observe the grid. In this grid, figures 2 and 3 are enlargements of figure 1. What can be said about these figures?

a)

The side of figure 3 is twice the side of figure 2.

b)

The perimeter of figure 1 is half the perimeter of figure 2.

c)

The perimeter of figure 3 is greater than the sum of the perimeters of figures 1 and 2.

d)

The perimeter of figure 1 is equal to the perimeter of figure 3.

69.

Para ampliar a área ocupada pelo desenho desse peixe em quatro vezes, é necessário ampliar as medidas dos segmentos que compõem o peixe em

a)

duas vezes

b)

quatro vezes

c)

seis vezes

d)

oito vezes

70.

Em quantas vezes foi ampliado o perímetro da figura II, em relação ao perímetro da Figura I?

a)

2

b)

3

c)

4

d)

5

71.

Usando o quadradinho como unidade de medida, quantas vezes a área da figura Q é maior que a área da figura P?

a)

2

b)

3

c)

4

d)

6

72.

Qual das figuras abaixo corresponde a uma ampliação da figura acima?

a)
b)
c)
d)
73.

Quantas vezes a medida do perímetro do retângulo R é menor que a medida do perímetro do retângulo M?

a)

2 vezes

b)

4 vezes

c)

6 vezes

d)

8 vezes

74.

Em relação à área do octógono I, a área do octógono II

a)

duplicou.

b)

quadruplicou.

c)

reduziu à metade.

d)

reduziu à quarta parte.

75.

Qual retângulo abaixo representa uma redução dessa tela?

a)

(Imagem A)

b)

(Imagem B)

76.

O desenho II é uma ampliação do desenho I. Nessa ampliação, a área do desenho II é

a)

a metade da área do desenho I.

b)

a quarta parte da área do desenho I.

c)

o dobro da área do desenho I.

d)

o quádruplo da área do desenho I.

77.

What is the relationship between the perimeter of drawing 2 and drawing 1?

a)

The perimeter of drawing 2 is three times smaller than the perimeter of drawing 1.

b)

The perimeter of drawing 2 is nine times smaller than the perimeter of drawing 1.

c)

The perimeter of drawing 2 is twenty-four times smaller than the perimeter of drawing 1.

d)

The perimeter of drawing 2 is forty times smaller than the perimeter of drawing 1.

78.

To build a pencil in real size, it is necessary to enlarge the dimensions of this miniature by 4 times. How should this be done?

a)

Add the dimensions of the original by 4.

b)

Decrease the dimensions of the original by 4.

c)

Multiply the dimensions of the original by 4.

d)

Divide the dimensions of the original by 4.

79.

What is the perimeter of Logo II in relation to Logo I?

a)

Twice as large.

b)

Twice as small.

c)

Four times larger.

d)

Four times smaller.

80.

Considering that each square side is one unit of length, what can we say about the perimeter from the first to the second figure?

a)

Tripled.

b)

Remained the same.

c)

Doubled.

d)

Quadrupled.

81.

What is the area of triangle II compared to triangle I?

a)

Half the area of triangle I.

b)

One-fourth the area of triangle I.

c)

Double the area of triangle I.

d)

Four times the area of triangle I.