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All the angles in a rectangle are ___ angles.

Which of the following show $x\&y$ as corresponding angles?

Question 65

State whether the given statement is True or False.

Zero is the smallest rational number.

What is the probability of getting 3 heads when 3 unbiased coins are tossed simultaneously?

Question 09

How many rational numbers are there between two rational numbers?

(a) 1

(b) 0

(c) Unlimited

(d) 100

Ray OE moves $\frac{1}{4}$ part of a circle to find a new position on the circle. What will be the measure of the angle, so formed?

Jack, a genius, built a Time Machine. Unable to find anybody to test it on, he decided to test the time machine himself. He entered the machine and set it to the future year 2355. Lights flashed, the super generator started and the machine started time travel, for the first time ever.

When everything became normal again, he stepped out of the time machine and noticed the following things:

I) There were so many trees, so many that you can’t spot the ground.

II) There was 1 river.

III) There were nearly 200-400 “Dodo” birds in that area.

IV) There were 0 people to be seen anywhere.

All the things that he observed are-

The area of a rectangular field is 11.025 square metre. If its breadth measures 4.5 metre, then calculate its length.

The data shown below are the weights in pounds of different vegetables that Ashley bought.

$16,11,14,16,7,16,14,11,16,$ what is the mode of the data?

Question 88(vi)

The data given below shows the production of motorbikes in a factory for some months of two consecutive years.



Study the table given above and answer the following questions:

In which month of the year 2007, the production was the least?

(a) From the sum of 3x − y + 11 and − y − 11, subtract 3x − y − 11.

(b) From the sum of 4 + 3x and 5 − 4x + 2x², subtract the sum of 3x² − 5x and

− x² + 2x + 5.

Question 46

State whether the following statement is true (T) or false (F).

If x is an even number, then the next even number is 2(x+1).

We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, $\angle$ABC=${110}^{\circ }$, $\angle$DAC = ${15}^{\circ }$, $\angle$CAB = ${25}^{\circ }$, AB = 5cm and CD = 7cm. Can we construct this parallelogram?

Form an algebraic expression: $y$ is multiplied by $4$ and then $25$ is subtracted from the product.

1. 10

Approximate value of pi is:

Find the value of the given expression

(5 -(-3))+4 +( -3 -2)

What percent of 20 is 5?

The point A(-6, 5) is reflected over the y-axis. What are the coordinates of the resulting point A′?

Question 70 (iv)

Express the following rational number in its standard form:
$\frac{299}{-161}$

Construct a triangle whose sides are 13 cm, 12 cm and 5 cm. [4 MARKS]

The solution of equation 5(x - 1) = 30 is:

An urn has ‘n’ balls of different colours out of which x are blue. If ‘p’ more blue balls are added to the urn, the probability of picking up a blue balls becomes twice the previous probability. What is the value of x?

Match the following mathematical operations with their inverse operations.

Question 58

State whether the given statement is True or False.

Every fraction is a rational number.

Question 1 (ii)

If m = 2, find the value of:
3m - 5

Rohan’s mother gave him $₹3x{y}^2$ and his father gave him $₹5(x{y}^2+2)$. Out of this total money he spent $₹(10–3x{y}^2)$ on his birthday party. How much money is left with him?

Match the following divisions with their correct outputs:

The value of $\frac{3^5\times 4^5}{{12}^3}$ is

The bar graph below gives the strength of 'section A' for 6 consecutive years since 2009. The same set of students get promoted to the next year, but the number of students vary as there can new joinees or students leaving.

How many students got admitted to the class at the start of session 2012 if nobody from the previous year batch left the school and 2 students were not promoted?

Find the correct number in the blank given. 16,_,66,68.

The area (in sq. units) of the region, given by the set $\left\{\right(x,y)\in R\times R|x\ge 0,2x^2\le y\le 4-2x\}$ is

A man has $6561m^2$ of land.The land costs $138per{m}^2$,he divides the land into equal parts and he sells them one each to the buyers. If each buyers buys the land for Rs 3666, How many parts were made by the man? [4 MARKS]

The adjoining figure refers to which of the congruency.

Question 9

What should be the value of 'a' if the value of $2x^2+x-a$ equals to 5, when x = 0?

Solve the following problems.

The marked price of a carpet is Rs. 2,500. If it is bought for Rs. 2,000, find the rate of discount.

A car has a tyre of diameter 28 cm. ___ km is covered by the car if the tyre rotates 150 times. (Use $\pi$ = 22/7)