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Add the numbers and choose the correct answer.

In the given figure, points A, O and B are collinear.
Find the value of $\angle BOC$.

In an isosceles right triangle, the length of the hypotenuse is $10\text{cm}$. Then the perimeter of the triangle is:

An umbrella has 8 ribs which are equally spaced (see figure). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.

In $\Delta ABC,AB=AC,\angle A={40}^{\circ },O$ is a point inside $\Delta ABC$ such that $\angle OBC=\angle OCA$. Find the measure of $\angle BOC.$

Solve the
following equations.

(a) 4 = 5
(p − 2) (b) − 4 = 5 (p − 2)

(c) 16 = 4
+ 3 (t + 2) (d) 4 + 5 (p − 1) = 34

(e) 0 = 16
+ 4 (m − 6)

The lengths of two sides of a triangle are $12cm$ and $15cm$. Between what two measures should the length of the third side fall?

Question 49

Fill in the blanks to make the statement true.

$(-5)\times (-6)\times (-7)=$ ___ .

What is the difference between rational numbers and fractions? Or are they same?

The cost of flying a family to New York is proportional to the number of family members. Which of the following graph best represents this scenario?

If △ABC ≅ △PQR by SSS congruency and ∠A = 76°, then what is the ​sum of the measures of ∠Q and ∠R in △PQR?​

Find:

(i) 0.4 ÷
2 (ii) 0.35 ÷ 5 (iii) 2.48
÷ 4

(iv) 65.4
÷ 6 (v) 651.2 ÷
4 (vi) 14.49 ÷ 7

(vii) 3.96
÷ 4 (viii) 0.80 ÷
5

Question 158(ii)

Find a single machine that will do the same job as the given hook-up.

$a(\times 2^4)$ machine followed by $(\times {\left(\frac{1}{2}\right)}^2)$ machine.

Maya multiplied $(4^2\times 3^2)$ by thinking about stretching machines.



Use Maya's idea to multiply $5^3\times 2^3$.

Maya's idea is another product law of exponents.

Multiplying Expressions with the same Exponents

$a^c\times b^c=(a\times b{)}^c$

You can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. $2^8\times 3^8\times 7^8=(2\times 3\times 7{)}^8={42}^8$.

Question 3(v)

Find the value of:

${\left\{{\left(\frac{-2}{3}\right)}^{-2}\right\}}^2$

A recurring deposit account of Rs 1200 per month has a maturity value of Rs 12440. If the rate of interest is 8% and the interest is calculated at the end of every month. Find the time (in months) of this recurring deposit account.

Let a number be $x$ such that $25<x\le 40$. Choose the values of $x$ that satisfying the inequality.

The marks obtained by $17$ students a mathematics test (out of $100$) are given below:
$90,79,76,82,65,96,100,91,82,100,49,46,64,48,72,66,68$. Find the range of the above data.

If $x>4$ and $x$ is an integer, then select the correct representation on the number line.

Two angles are supplementary if their sum is equal to _____ degrees

Which is the greatest numeral used in base-2 system.

Question 7

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

If a and b are positive integers, then the solution of the equation ax=b has to be always:

(a) positive

(b) negative

(c) one

(d) zero

The total area of a park is divided into four equal parts - food, fountain, shopping and rides.



Which circle represents the given information correctly?

To represent 15/7 on a number line, divide the distance between 2 and 3 into

To express the speed of the supersonic jet, which is $130000m/s$ in the standard form, we write it as $1.3\times {10}^{a}m/s$. The value of $a$ is

Lucas orders some tennis balls from online shopping. Each tennis ball costs $\$20$ and the shipping fee is $\$5$ regardless of the number of tennis balls. If Lucas spent a total of $\$105,$ how many tennis balls did he order?

The value of $({\left(32{)}^{-1}\right)}^{-2}$ is

Question 55 (ii)

Find the numerical coefficient of each of the terms:

$10xyz,-7x{y}^{2}z,-9xyz,2x{y}^{2}z,2x^2{y}^2{z}^2$

The number of students in a hostel, speaking different languages is given below.
$\begin{array}{cc}\text{Language}& \text{No. of Students}\\ \text{Hindi}& 40\\ \text{English}& 12\\ \text{Marathi}& 9\\ \text{Tamil}& 7\\ \text{Bengali}& 4\\ \text{Total}& 72\end{array}$
If a pie chart is drawn for the above data, what is the central angle for the number of students speaking hindi?

In the figure given below, AB is a straight line. If $\angle AOC=50°$ and $\angle BOD=60°$, then find the value of x.