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Simplify and write in exponential form:
$4^3\times 4^{-2}\times {16}^2$

You have seen two set squares inside the geometrical box.
What is the angle common in both?

Ned goes to a gift shop to buy a gift for Ted on his birthday. He chooses a gift, gets it packed and pays ₹ 85, which was all he had. But the shopkeeper said that he would incur a loss of 15% on the overall transaction which includes packing charges for ₹ 10, if he gives away that piece for ₹ 85.

What was the actual price of the gift?

According to the road map that Rashmi has, 1 cm on the map equals to 18 km on road. If she covers a distance of 72 km on road, what distance does she cover on the map?

The area ( in $c{m}^2$ ) of one of the most common Indian sweets as per the given dimensions is ___ .

One side of a right angled triangle scarf is 80 cm and its longest side is 1 m find its cost at the rate of rupees 250 per metre square.

Express 12 × 14 in the form of (x + a) (x + b)

From a circular card sheet of radius $14$ $cm$ two circles of radius $3.5$ $cm$ and a rectangle of length $3$ $cm$ and breadth $1$ $cm$ are removed (as shown in the following figure). Find the area of the remaining sheet. (Take $\pi =\frac{22}{7}$)

In the given figure, if $\angle BCA=\angle RPQ={15}^{\circ },$
then $\angle PQR$ is .

(a) Write a pair of negative integers whose difference gives $8$.

(b) Write a negative integer and a positive integer whose sum is $-5$.

(c) Write a negative integer and a positive integer whose difference is $-3$.

Which of the following will end with digit 1?

In 2008, approximately what percent of the world's population lived in Africa if the sector angle of Africa measured 52${}^{\circ }$?

The floor of Sara’s bathroom is covered with tiles in the shape of triangles. Each triangle has a height of $5$ inches and a base of 12 inches If the floor of her bathroom has $50$ tiles, what is the area of the bathroom floor?

Which of the following option is the simplest form of $6^3\times 6^4?$

An equivalent fraction of $\frac{12}{18}$:

Question 136

The highest point measured above sea level is the summit of Mt. Everest, which is 8848 m above sea level and the lowest point is challenger deep at the bottom of Mariana Trench which is 10911 m below sea level. What is the vertical distance between these two points?

Write three rational numbers that lie between 0 and -3/4

Akanchha measured the angles in a triangle. They came out to be ${60}^{\circ },{80}^{\circ }$, and ${70}^{\circ }$ respectively. Now she wants to know what type of triangle it is.
Can you tell what type of triangle it is?

Find
4.8 $÷$ 10

Which is the best deal for the following questions ?

(i) A pack of 5 chocolate bars for 175 or 3 chocolate bars for 114?

(ii) Basker buy $\frac{3}{2}$ dozen of eggs for 81 or Aruna buys 15 eggs for 64.5?

Which option represents the inequality $1\le 2x+5<15$ on the number line?



Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

What percentage of the given shape is blue?

$4^2\times 3^2=4\times$ ___ $\times 3\times 3$ Fill in the blank [Enter a numerical value].

A man has many chocolates and he takes $3^7$ chocolates and distributes it to $3^4$ students. How many chocolates does each student get?

Find the number in the following cases: [4 MARKS]

a) when a number is multiplied by 6 and the product is added with 4 it becomes 54.

b) Adding 6 to 4 times a number gives 88.

Write the cubes of:

(1) −2

(2) +1

(3) −5

(4) +7

(5) −10

(6) 2

(7) 3

(8) 10

(9)

(10)

Coefficient of $y$ in the term $\frac{-y}{9}$ is

Choose the correct pair of supplementary angles.

'विस का प्याला राणा भेज्या, पीवत मीरां हाँसी' इसमें क्या व्यंग्य छिपा है।

Solve the following inequation:

$13x-5<15x+4<7x+12,x\in R$.

Write the number given in the following place value table in decimal form:

$\begin{array}{ccccccc}& \text{Hundreds}& \text{Tens}& \text{Ones}& \text{Tenths}& \text{Hundreths}& \text{Thousandths}\\ & 100& 10& 1& \frac{1}{10}& \frac{1}{100}& \frac{1}{1000}\\ \left(b\right)& 1& 0& 2& 6& 3& 0\end{array}$

What is a kink

Simplify the following

(a) 12 + [{1 + (15 − 3)} × 4]

(b)

(c)

(d)

(e)

For $a>b>c>0,$ the distance between $(1,1)$ and the point of intersection of the lines $ax+by+c=0$ and $bx+ay+c=0$ is less than $2\sqrt{2}.$ Then