Parts and Whole Test 3

Result

Parts and Whole Test 3

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Question 1
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represents

A
$$\frac {9}{7}$$

B
$$2\frac {1}{2}$$

C
$$4\frac {1}{2}$$

D
$$2\frac {1}{4}$$

Solution

4 whole marbles are shaded with a fifth marble shaded in half. So the correct option will be 4 whole 1/2.
So option C is the correct answer.
Question 2
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What fraction of the figure is shaded?

A
$$\displaystyle{\frac{8}{16}}$$

B
$$\displaystyle{\frac{4}{16}}$$

C
$$\displaystyle{\frac{5}{16}}$$

D
$$\displaystyle{\frac{9}{16}}$$

Solution

$$5$$ parts in total are shaded from the $$16$$ parts in the figure.

So the fraction of the figure that is shaded is $$\dfrac{5}{16}.$$

So option C is the correct answer.
Question 3
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The following figure represents:

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

B
$$3\frac {1}{4}$$

C
$$1\frac {1}{2}$$

D
$$2\frac {1}{4}$$

Solution

The given figure has $$3$$ large squares with $$4$$ parts in each square.

In the first square, all $$\dfrac4 4$$ parts are colored.

In the second square also all $$\dfrac4 4$$ parts are colored. In the third square, only $$\dfrac1 4$$ is colored.

So we can say that the given figures are $$1+1+\dfrac 1 4= 2$$ whole $$\dfrac1 4$$

Option D is the correct answer.
Question 4
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Fraction is a part of

A
Quarter

B
Half

C
Whole

D
None of these

Solution

fraction is a part of whole..
Question 5
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How many more squares must be shaded so that $$\displaystyle{\frac{1}{3}}$$ of the figure is shaded?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

There are $$12$$ total squares in the given figure.

In order for it to be shaded $$\dfrac{1}{3}$$ of the figure total of $$4$$ squares have to be shaded.

In the given figure only 3 squares are shaded.

In order for it to be shaded $$\dfrac{1}{3}$$, we need to shade $$1$$ more box.

So option A is the correct answer.
Question 6
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What fraction of the figure is shaded ?

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

B
$$\displaystyle{\frac{3}{8}}$$

C
$$\displaystyle{\frac{3}{14}}$$

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

Solution

Total number of blocks $$=16$$
And only $$4$$ blocks are shaded.

Therefore, the required fraction will be
$$=\dfrac{4}{16}$$
$$=\dfrac{1}{4}$$

Hence, this is the answer.
Question 7
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-

A
$$\dfrac {1}{2}$$

B
$$\dfrac {2}{6}$$

C
$$\dfrac {3}{8}$$

D
$$\dfrac {4}{7}$$

Solution

The triangle is divided into 4 parts, out of which only 1 part is shaded. We can also say, 1/4 of the triangle is shaded.

The circle is also divided in 4 parts out of which only 1 part is shaded. We can also say, 1/4 of the circle is shaded.

So we can also write the given figure as,
(1/4)+(1/4)=2/4

On simplification,
2/4=1/2.

So option A is the correct answer.
Question 8
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Which fraction shows the part of the circle that is shaded?

A
$$\dfrac {2}{9}$$

B
$$\dfrac {2}{8}$$

C
$$\dfrac {2}{7}$$

D
$$\dfrac {2}{6}$$

Solution

The whole circle is divided in 8 parts.
Number of parts shaded is 2 parts.
So we can say 2 out of 8 parts is shaded.
This can be written in fraction form as 2/8
So option B is the correct answer.
Question 9
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The grid below is shaded to represent a fraction
What fraction of the grid is shaded?

A
$$\dfrac {1}{20}$$

B
$$\dfrac {1}{5}$$

C
$$\dfrac {1}{4}$$

D
$$\dfrac {1}{3}$$

Solution

The given grid has $$100$$ squares. $$20$$ boxes are shaded out of $$100.$$
$$20/100=1/5$$
So option $$B$$ is the correct answer.
Question 10
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What is the decimal fraction shown by the shaded part of the figure given below ?

A
$$3.5$$

B
$$0.6$$

C
$$0.4$$

D
$$0.5$$

Solution

In total, there are $$12$$ blocks out of which $$6$$ of them are shaded and the rest $$6$$ are empty.
So,
$$\text{Fraction} = \dfrac{\text{shaded portion}}{\text{unshaded portion}}$$
$$ = \dfrac{6}{12}$$
$$= \dfrac{1}{2}$$
$$=0.5$$
Hence, Option D is the right answer.