Parts and Whole Test 7

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Parts and Whole Test 7

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Weekly Quiz Competition

Question 1
1 / -0

Which model is shaded to show a fraction equivalent to $$\displaystyle \frac {3}{6}$$ ?

A

B

C

D

Solution

Let us first solve the given fraction as follows:

$$\dfrac { 3 }{ 6 } =\dfrac { 1 }{ 2 }$$

(a) In the given square, there are a total of $$4$$ triangles and $$1$$ triangle is shaded amongst them. Therefore, the ratio of shaded triangle to the total number of triangles is:

$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$

Hence, the fraction $$\dfrac {1}{4}$$ is not same as the given fraction $$\dfrac {1}{2}$$

(b) In the given rectangle, there are a total of $$8$$ squares and $$3$$ squares are shaded amongst them. Therefore, the ratio of shaded squares to the total number of squares is:

$$\dfrac {Shaded}{Total}=\dfrac { 3 }{ 8 }$$

Hence, the fraction $$\dfrac {3}{8}$$ is not same as the given fraction $$\dfrac {1}{2}$$

(c) In the given rectangle, there are a total of $$5$$ rectangles and $$3$$ rectangles are shaded amongst them. Therefore, the ratio of shaded rectangles to the total number of rectangles is:

$$\dfrac{Shaded}{Total}=\dfrac{ 3 }{ 5 }$$

Hence, the fraction $$\dfrac {3}{5}$$ is not same as the given fraction $$\dfrac {1}{2}$$

(d) In the given circle, there are a total of $$2$$ semi-circles and $$1$$ semi-circle is shaded amongst them. Therefore, the ratio of shaded semi-circles to the total number of semi-circles is:

$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 2 }$$

Hence, the fraction $$\dfrac {1}{2}$$ is same as the given fraction $$\dfrac {1}{2}$$

So, $$Op-D$$ is correct.
Question 2
1 / -0

How many more equal-sized pieces would you need to make a whole for the given figure?

A
$$1$$

B
$$2$$

C
$$4$$

D
$$6$$

Solution

In the given circle, $$\dfrac {1}{4}$$th of the circle is divided in two equal parts which means that $$\dfrac {1}{2}$$ of the circle should be divided in four equal parts. Therefore, the whole circle is divided in $$8$$ equal parts.

Hence, $$6$$ more equal sized pieces are needed to make a whole circle.
Question 3
1 / -0

In which figure, does the shaded part represents $$0.3$$?

A

B

C

D

Solution

In part figure (A) total parts are $$10$$
shaded parts are $$3$$.
So fraction is $$\dfrac{3}{10}=0.3$$
Question 4
1 / -0

What fraction of the children in the following group are boys?

A
$$\displaystyle \frac {3}{4}$$

B
$$\displaystyle \frac {3}{7}$$

C
$$\displaystyle \frac {4}{3}$$

D
$$\displaystyle \frac {4}{7}$$

Solution

In the given group of children, there are a total of $$7$$ children with $$3$$ boys and $$4$$ girls. Therefore, the ratio of the number of boys to the total number of children is:

$$\dfrac {Boys}{Total}=\dfrac {3 }{ 7 }$$

Hence, the fraction of the boys in the group is $$\dfrac { 3 }{ 7 }$$
Question 5
1 / -0

What fraction of the figure below is shaded?

A
$$\displaystyle \frac {1}{4}$$

B
$$\displaystyle \frac {2}{4}$$

C
$$\displaystyle \frac {2}{6}$$

D
$$\displaystyle \frac {4}{6}$$

Solution

In the given figure, there are a total of $$6$$ rhombuses and $$2$$ rhombuses are shaded amongst them.

The ratio of the shaded rhombus to the total number of rhombus is $$=\dfrac {Shaded}{Total}=\dfrac {2 }{ 6 }$$

Hence, the fraction of the shaded part is $$\dfrac { 2 }{ 6 }$$
Question 6
1 / -0

The shape is shaded to show which fraction?

A
$$\displaystyle \frac {1}{4}$$

B
$$\displaystyle \frac {3}{4}$$

C
$$\displaystyle \frac {1}{3}$$

D
$$\displaystyle \frac {2}{3}$$

Solution

In the given object, there are a total of $$4$$ triangles and $$1$$ triangle is shaded amongst them. Therefore, the ratio of shaded triangle to the total number of triangles is:

$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$

Hence, the fraction of the shaded part is $$\dfrac { 1 }{ 4 }$$
Question 7
1 / -0

Fraction is a part of

A
Whole

B
Half

C
Quarter

D
None of these

Solution
Question 8
1 / -0

What fraction does the shaded part represent?

A
$$\displaystyle \frac {3}{5}$$

B
$$\displaystyle \frac {2}{5}$$

C
$$\displaystyle \frac {3}{10}$$

D
$$\displaystyle \frac {2}{10}$$

Solution

In the given object, there are a total of $$10$$ rectangles and $$3$$ rectangles are shaded amongst them. Therefore, the ratio of shaded rectangles to the total number of rectangles is:

$$\dfrac {Shaded}{Total}=\dfrac {3 }{ 10 }$$

Hence, the fraction of the shaded part is $$\dfrac { 3 }{ 10 }$$
Question 9
1 / -0

In which of the following does the shaded part represent one third of its whole?

A

B

C

D

Solution

(a) In the given object, there are a total of $$4$$ squares and $$1$$ square is shaded amongst them. Therefore, the ratio of shaded square to the total number of squares is:

$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$ which is not one third of the whole object.

(b) In the given object, there are no equal parts which simply means that there is no one third of the whole object.

(c) In the given triangular object, there are no equal parts which simply means that there is no one third of the whole object.

(d) In the given object, there are a total of $$3$$ squares and $$1$$ square is shaded amongst them. Therefore, the ratio of shaded square to the total number of squares is:

$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 3 }$$ which is one third of the whole object.

Hence, the object that represents one third of the whole object is shown below:
Question 10
1 / -0

$$\displaystyle \frac { 2 }{ 4 }$$ of a rupee = .......paise

A
20

B
50

C
40

D
10

Solution

1 rupee=100 paise
so $$\dfrac{2}{4}$$ of a rupee=$$\dfrac{2}{4}\times100=50$$ paise