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Choose the constant term in the expression "x⁴ - 6x² + 2x - 3".

Rohit borrowed ₹ 45,000 at the rate of 8.5 % per annum simple interest. How much money will he pay at the end of 4 years to clear his debt

Consider the given representation of data.

How many students have brown eyes?

The complement of ${40}^{\circ }$ is:

The point M(-5, -4) is reflected over the x-axis. What are the coordinates of the resulting point M′?

Simplify
$(a^2+b^2)\times ({-a}^2+b^2)=?$

For constructing a triangle, we must know two sides and included triangle. Which triangle can be uniquely constructed by knowing two sides and any other angle?

(-10) x [(-5) x 3] is equal to

Question 7
30 children were asked about the number of hours they watched TV programs last week. The results are recorded as under:

$\begin{array}{ccccc}\text{Number of hours}& 0-5& 5-10& 10-15& 15-20\\ \text{Frequency}& 8& 16& 4& 2\end{array}$

Can we say that the number of children who watched TV for 10 or more hour in a week is 22? Justify your answer.

Mean, median and mode are also known as the measures of __ of a data set.

Identify the state whose tax revenue increased exactly by the same amount in two successive pair of years?

A number is chosen at random from 1 to 5. What is the probability that the number chosen is odd?

Question 36
Fill in the blank to make statement true.
The corners of solid shapes are called its ___.

Match each of the entries in Column I with the appropriate entries in Column II.
$\begin{array}{ccc}& & \\ \text{Column I}& & \text{Column II}\\ \text{Profit}\%\text{when CP = Rs.50 and SP = Rs.60}& \text{J.}& 66\frac{2}{3}\%\end{array}$

______ is a vertical line in a table.

You throw two dice together and noted the sum of the digits of both the dice. What is the probability of getting 13 as the sum?

The event of toss of a coin landing in head is _______ event.

If a = 5 and b =3 then find the value of $2^a+5^b$

What fraction of prime numbers from 1 to 10 are even numbers?

If O is the centre of the circle, and OA and OB are two radii, find the ratio of the area of the sector AOB to the area of the circle, if ∠ AOB = 60

The sum of three consecutive even numbers is 300. What is the largest number?

Anisha walks 1.32 km, cycles 5.69 km and then travels 10.28 km by bus. What is the number of significant figures of his entire journey?

The value of the expression ${}^{47}{C}_4+{\sum }_{j=1}^5{}^{52-j}{C}_3$ is

Write the converse of the statement : If x is prime, then x is odd.

The number zero is an integer. And It is the only integer which doesn't have any sign.

Match the following:

$$\begin{array}{cc}a.Interioranglesonthesamesideofthetransversal& \left(i\right)1–5,2–6,3–7and4–8\\ b.Alternateexteriorangles& \left(ii\right)4–6,3–5\\ c.Correspondingangles& \left(iii\right)1–7,2–8\\ d.Alternateinteriorangles& \left(iv\right)3–6,4-5\end{array}$$

From the given figure, find $\angle ADG$ and $\angle IEJ$. ABCD is a rectangle. [4 MARKS]

Andy spent ₹450 in fencing the parallelogram shaped land at the rate of ₹5 per metre. If the length of the land is 25m , then find the width of the land.

Question 126 (a) (v)

Architects design many types of buildings. They draw plans for houses, such as the plant 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 bedroom 2

Bill noticed a couple of occupants (numbers) of Room W, “7” and “8”, enter the “Hall of Division”. The resultant number that comes out from the hall is an occupant of which of the following rooms?

At what rate per cent per annum simple interest will₹66000 amount to₹72720 in two years?

Area of triangle MNO in the given figure is______.

6561, when represented in exponent notation is _____

Select the conjunction which best completes the sentence.

__________ Jack narrated the speech excellently, he won the first prize.

What would be the area of right isosceles triangle of side length 'a'?

In $△$ABC, $\angle$ A=${50}^{\circ }$ and $\angle$ B=${60}^{\circ }$ ,then the value of x is and y is.

Arrange the following marks obtained by students in ascending order and represent them on the number line 12, 4, 6, (-1), (-3 ). What is the difference between the student who scored the highest mark and the one who scored the lowest? [3 MARKS]

A shopkeeper A has Rs 34265 in his counter and shopkeeper B has 432500 paise in his counter. Express the difference in rupees in standard form. [ 3 MARKS]

Complete the table and by inspection of the table find the solution to the equation.

$m+10=16$

$\begin{array}{cccccccccccccc}m& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10& \cdots & \cdots & \cdots \\ m+10& \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots & \cdots \end{array}$

Question 70

From the sum of $x^2-y^2-1,y^2-x^2-1$ and $1-x^2-y^2$, subtract $-(1+y^2).$

In the figure, two straight lines PQ and RS intersect each other at O. If $\angle POT={75}^{\circ }$, find the values of a, b and c. [4 MARKS]

Find the third proportional to $12,18.$

1. 5000

Question 109
The net given below in the figure can be used to make a cube.

i) Which edge meets AN?
ii) Which edge meets DE?

Question 81 (iii)

Imagine that, a $10\times 10$ grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem and label each grid "Value:300".

Shade 17 % of the grid. What is 17 % of 300 ? Compare the two answers.

Question 93

In the given figure, OB is perpendicular to OA and $\angle$BOC = ${49}^{\circ }$. Find $\angle$ AOD

Order of rotational symmetry for a scalene triangle is ___