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The value of 4^6 ÷ 4^4 is

70 50 90 120 110 100 80 60

What is the volume of a rectangular box that has a length of 5 m, a width of 3 m and a height of 6 m?

Five years ago a man was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their present ages.

Question 6 (i)
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

252

A bag contains 4 white and 5 blue balls. They are mixed thoroughly and one ball is drawn at random. What is the probability of getting (i) a white ball ? (ii) a blue ball ?

Question 29

A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is ___

Which of the following is an irreducible form of 102?

Simplify :

$\left(i\right)8^{\frac{4}{3}}+{25}^{\frac{3}{2}}-{\left(\frac{1}{27}\right)}^{-\frac{2}{3}}\left(ii\right)\left[\right(64{)}^{-2}{]}^{-3}÷\left[\right\{(-8{)}^2{\}}^3{]}^2(iii\left)\right(2^{-3}-2^{-4}\left)\right(2^{-3}+2^{-4})$

Question 7

Find the values of the letters in the following and give reasons for the steps involved.

$AB$

$\underset{–}{\times 6}$

$\underset{–}{BBB}$

In the given figure, ABCP is a parallelogram and P is the mid point of CD. Then find which of the following option is correct?

Find the numerical value of the letters given below (a) DE×3=FDE

The standard notation of 1650000 is given by .

The sides of a quadrilateral ABCD in order are AB = 6, BC = 18, CD = 6, DA = 10. If the restriction is that the diagonal BD must be an integer, the number of such quadrilaterals is

Expand the algebraic expression $a^{\frac{1}{2}}(a^{\frac{1}{2}}+a^{\frac{-1}{2}})$

Question 4(iii)

Divide as directed

$52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)$

The angles of a quadrilateral are in the ratio 1:2:3:4. Find all the angles of the quadrilateral.

If $x=3$ and $y=5$, find the value of $8x^3-12x^{2}y+6x{y}^2-8y^3$.

If Rs. 500 amounts to Rs. 583.20 in two years compounded annually, find the rate of interest per annum.

Calculate the area of a rectangular park of whose length is $\frac{152}{5}$ m and breadth is $\frac{50}{3}$ m

Which of the following picture is the correct for the given net?

Find the squares of the following algebraic expressions

(i) 2x + 3y

(ii) x + 2

(iii) 2x + 1

Simplify $\sqrt{\sqrt{81}}$

In a square ABCD, if $BD=6cm$, what is the length of AC ?

Assertion: The sides of a $\Delta ABC$ are in the ratio 2:3:4 and its perimeter is 36cm. Then, $ar\left(\Delta ABC\right)=12\sqrt{15}c{m}^2$

Reason: If where a, b, c are the sides of a triangle,$\frac{s=(a+b+c)}{2}$, then its area $=\sqrt{(s-a)(s-b)(s-c)}$

Which of the following is correct?

If $|x^2-3x+2|=-(x-1)(x-2)$, then $x\in$

If x² - 6x - 40 = (x + 4)(x + a), then the value of a is ______.

In how many ways $8$ people can be divided into two groups of $5$ and $3$ people?

The ratio between two numbers is 7 : 3. If the smaller number is 210 , find the larger number