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Question 26

In the following question, out of the four options, only one is correct. Write the correct answer.

The usual form for$2.03\times {10}^{-5}$ is

(a) 0.203

(b) 0.00203

(c) 203000

(d) 0.0000203

Solve the
linear equation

The perimeter of a rectangular swimming pool is $64m$. If its length and breadth are in the ratio of $5:3$, then find the length of the pool (in metre).

Question 19

Fill in the blanks to make each statement true:

Any value of the variable, which makes both sides of an equation equal, is known as a ................... of the equation.

The set of even prime number is a/an ____.

1. 1572

Question 44

Fill in the blanks to make the statements true.

The cube root of a number $x$ is denoted by ___

Can’t you find these products on your own?

(i) (p + q) (2m + 3n)

(ii) (4x + 3y) (2a + 3b)

(iii) (4a + 2b) (5c + 3d)

(iv) (m + n) (5a + b)

(v) (2x + 3y) (x + 2y)

(vi) (3a + 2b) (x + 2y)

In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. Find the length of the altitude corresponding to the side having 12 cm.

ABCD is a parallelogram in which $\angle DAO={40}^{\circ }$,$\angle BAO={35}^{\circ }and\angle COD={65}^{\circ }$ . Find $\angle ODC$.

Show the following items in a Company's Balance Sheet as at 31st March, 2017:

$\begin{array}{cc}& \text{Rs.}\\ \text{Trade Receivables}& 6,00,000\\ \text{Inventories}& 10,00,000\\ \text{Cash}& 20,000\\ \text{Marketable Securities}& 1,00,000\\ \text{Bank Overdraft}& 1,50,000\end{array}$

Simplify:
$(4m+5n{)}^2+(5m+4n{)}^2$

After buying a toy from the shop, I am left with ₹ 15 from my $100$ rupees of pocket money. Then the cost of toy (in rupees) is:

Draw histogram for the following frequency distribution:

Kumaran is a trainee carpenter. He has to cut the following length of wood in the table given below. The available length of wood in the market is 8 ft. Help him to cut without wasting any of the woods.

Addison ordered a pizza for each of her $25$ Friends. If One Pizza costs $\$111$. What was the total sum paid by Addison?

Two poles of height 10 cm and 20 cm stand on a plane ground. If the distance between their feet is 24 cm. Find the distance between their tops (in cm).

Factorize $x^4{y}^4-xy$

A line is parallel to $2x+y=3$. It passes through the point (0,1). What is its equation?

Question 64

1y3y6 is divisible by 11. Find the value of y.

1. 900

If the length of the side of a square is $7xy$, then the area of the square will be .

Find each of the following products:

$(x^2-a^2)\times (x-a)$

The heights (in cm) of 30 students of class VIII are given below:

155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153.

Prepare a frequency distribution table with 160-164 as one of the class intervals.

Viji is twice as old as his brother Deepu. If the difference of their ages is 11 years, find their present age.

$(4.5{)}^2-(1.5{)}^2$

Factorise x ^4 + 324

The chart shows the number of sunny days and the number of windy days in six months. Which months had more windy days than sunny days?

Question 131

Solve the following question:

Find the smallest square number divisible by each of the numbers 8, 9 and 10.

Which of the following is correct about direct proportion?

If $A\subseteq B\text{and}B\subset ̸A$ this means

If the exterior angle of a regular polygon is one-fifth of the interior angle then find the value of the exterior angle.

$\text{In the following diagram, the bisectors of interior angles of the parallelogram PQRS en-close a quadrilateral ABCD.}$

$\text{Show that:}\left(i\right)\angle PSB+\angle SPB={90}^{\circ }\left(ii\right)\angle PBS={90}^{\circ }\left(iii\right)\angle ABC={90}^{\circ }\left(iv\right)\angle ADC={90}^{\circ }\left(v\right)\angle A={90}^{\circ }\left(vi\right)\text{ABCD is a rectangle}\text{Thus, the bisectors of the angles of a parallelogram enclose a rectangle.}$

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