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Evaluate: $(3x^2{)}^{-3}\times (x^9{)}^{\frac{2}{3}}$

Question 86

State whether the statement is True or False.

In the given figures, two triangles are congruent by RHS.

A bus travels 500 km with 70 litres of petrol. Find the distance covered by the bus with 7 litres of petrol.

If the replacement set is the set of whole numbers, solve the following inequation.

$8-x\ge -\frac{1}{2}$.

Calculate the area of the parallelogram.

Plot the line $x=2$ on the cartesian plane.

Question 76(i)

An average Urban Indian uses about 150 L of water everyday.

$\begin{array}{cc}\text{Activity}& \text{Litres per person per day}\\ \text{Drinking}& 3\\ \text{Cooking}& 4\\ \text{Bathing}& 20\\ \text{Sanitation}& 40\\ \text{Washing clothes}& 40\\ \text{Washing utensils}& 20\\ \text{Gardening}& 23\\ \text{Total}& 150\end{array}$

What percent of water is used for bathing and sanitation together per day?

Factorise:$4xy+x{y}^2$

Calculate the time taken for a bullet to travel 8 km at a speed of 5000 m/s.

The cost of a flower vase got increased by $12\%$. If the current cost is ₹$896$ , what was its original cost?​

The units digit in the square of 56789 will be.

∠PQR is right angle. What is the measure of each angle when an angular bisector is drawn to it?

Solve for x : $12ab{x}^2–(9a^2-8b^2)x–6ab=0$

The probability of getting a black jack from a deck of cards is:



[1 mark]

$45-[38-\{60÷3–(6-9÷3)÷3\left\}\right]$ =

In a $△ABC$ with usual notation $CF$ is the internal angle bisector of $\angle C$ and $F$ lies on side $AB$, then the length of $CF$ is equal to

If the central angle of a sector in a piechart is 180°, then the percentage it represents is ___.

The last page number on the textbooks of different subjects in a class is given.

$$\begin{array}{cc}\text{Subject}& \text{Page Number}\\ \text{English}& 203\\ \text{Hindi}& 203\\ \text{Maths}& 152\\ \text{Physics}& 177\\ \text{Chemistry}& 225\\ \text{Biology}& 172\\ \text{Computer Sci.}& 185\\ \text{History}& 203\\ \text{Geography}& 172\\ \text{Moral Sci.}& 267\end{array}$$

Find the probability that the last page number ends in
(i) an odd number
(ii) an even number
(iii) a multiple of 3. [4 MARKS]

How many one-fourths need to be added to $2\frac{1}{4}$ to make 5?

Calculate:
(i) Seconds in a day
(ii) Minutes in a week
(iii) Hours in a year [3 MARKS]

Question 1(o)

State whether the given expression is an equation or not. Give reason for your answer. Identify the variable in the given expression.

$7-x=5$

In a triangle ABC, if AC² + BC² = AB², then which of the following sides are perpendicular?

The length and breadth of a rectangle are in the ratio 4 : 3 and if the area of the rectangle is 1728 sq .units,then find the length and breadth of the rectangle

Fill in the blanks:

In direct proportion, if one quantity increases another quantity also ...........

$15-(6+6\times 6)÷(9+5)=$

Evaluate $\frac{7}{3}+\frac{16}{15}$

1. 18

Question 81 (f)

Express each of the following in single exponential form.
$(-11{)}^2\times (-2{)}^2$

Solve the following.

The ratio of income to the savings of a family is 7 : 1. Find the savings, if the income is Rs.1,400.

Question 31

In questions 24 to 59, fill in the blanks to make the statements true.
15 kg is ___ % of 50 kg.