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Consider the equation, $\frac{x}{2}=5$. If 2 is transposed from LHS to RHS, then it becomes in the RHS.

25% is equal to the fraction:

A lamp post is situated at the middle point m of the side ac of a triangular plot ABC with BC=7CM, CA=8M and AB=9M. Lamp posts subtend an $\angle {15}^{\circ }$ at the point B.determine the height of the lamp post.

Question 28

Fill in the blanks to make the statement true.

- a - b - c is same as - a - ( ___ ).

Question 59 (b)

What should be added to $3pq+5p^2{q}^2+p^3$ to get $p^3+2p^2{q}^2+4pq?$

The ratio between the number of girls to boys is 9:7.if there are 42

More girls than the number of boy's find the number of girls and boys

A train running at 2 by 5 of its own speed reached a place in 15 minutes. In what time will it reach there running at its own speed?

Find the value of ${}^{10}{C}_4$

If B = {1, 3, 5, 7, 9}, then set-builder representation of B is___________.

Subtract the following and verify how it came

-84 from -107

The quantity $87,800,000,000,000,000,000,000,000Kg$ equals to _________.

In a class, there are $20$ boys and $15$ girls. What is the ratio of boys to girls?

If we add the additive inverse of a rational number to the number we obtain one state true false

The area of a square plot is 1225 $m^2$. What is the length of its side?

Vignesh has two angles, $\angle$A and $\angle$B. He arranged these angles on a paper such that they are complementary. Which of the following arrangements did he make?

Consider the figure (a rectangular pyramid mounted over a cube):

Let the number of faces be F, the number of edges be E and the number of vertices be V. Then, find the value of F + E + V.

Question 10(b)

In a college out of 4320 students, 2300 are girls. Find the ratio of:

Number of boys to the number of girls.

Question 57

State whether the given statement is True or False.

The quotient of two rationals is always a rational number.

Question 67

In questions 60 to 79, state whether the statements are True or False.
If Ankita obtains 336 marks out of 600, then percentage of marks obtained by her is 33.6 %.

At the intersection of two lines, sum of one pair of opposite angles is ${120}^{\circ }$ more than the sum of the other pair of opposite angles. Find all the angles.

Question 76

In questions 60 to 79, state whether the statements are True or False.
Interest on ₹ 1200 for $1\frac{1}{2}$ yr at the rate of 15 % per annum is ₹180.

The playground of a school is shown below.


Determine the perimeter of the playground?

Question 78

After 20 years, Manoj will be 5 times as old as he is now. Find his present age.

Question 64

Fill in the blanks to make the statement true.

In the given figure, $\Delta PQR\cong \Delta \dots \dots$

(-40) $\times$ ___ = 80

Simplify:

$0.005\times {10}^2-5\times {10}^{-1}$ [4 MARKS]

An event associated to a random experiment is the collection of ______ of the experiment.

The point (4, 1) and (- 2, 4) are reflected in the y axis. Find the coordinates of their images.

Solve the inequation:12 + ¹¹/₆ < 5 + 3; ε R. Represent the solution on a number line.

A rectangle with sides 2m -1 and 2n -1 is divided into squares of unit length by drawing parallel lines as shows in the diagram, then the number of rectangles possible with odd side lengths is

The distance between two milestones is 230 km and two cars start simultaneously from the milestones and start moving towards each other.. The distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/hr, find the speed of both the cars.

Sam was given two integers x and y. If x is predecessor of y , find

y-x-31

Cost of $6kg$ of wheat is Rs $72$. What will be the cost of $1kg$ of wheat?

What is the total number of lines of symmetry for the letter L?

A man X has a land whose area is $3^4$ metre square and a man Y has $4^3$ metre square of land. If the land costs Rs 50 per meter square, who has higher property value? [4 MARKS]

Are these ratios equivalent? [1 MARK]

4 drivers: 1 hour

20 drivers : 5 hours

Question 86

Solve the following:

The sum three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.

Question 126 (a) (ii)

Architects design many types of buildings. They draw plans for houses, such as the plan shown in the following figure.

An architect wants to install a decorative moulding around the ceilings in the rooms. The decorative moulding costs Rs. 500/ meter.

Find how much moulding will be needed for living room

Simplify: [2 MARKS]

$2^5\times 3\times 4^2\times 5$