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Which among the following expression on simplification gives a binomial?

In the given figure, if PQ ⊥ PS, PQ || SR, ∠SQR = 28º and ∠QRT = 65º, then find the values of x and y.

Question 7 (i)

In the figure, altitudes AD and CE of $\Delta ABC$ intersect each other at the point P. Show that



(i) $\Delta AEP\sim \Delta CDP$

Liz starts walking from her house at $O$, she walks 24 m towards west to a point $A$, then takes a sharp turn towards north and walks 7 m before stopping at the bus stop at point $B$ as shown in the diagram. Then, the distance between her house and the bus stop is(in m)

1. 25

If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of $2x-7$ is ____.

What is the speed when the distance is $142km$ and time is $2hours$?

The sum of three consecutive numbers is 30. What are the numbers?

Simplify:5(x-4)-3(x-4)+7(x-4)

Question 43.

Answer True/False.

If m is a whole number, then 2m denotes a multiple of 2.

Question 2 (ii)

Find : ${32}^{\frac{2}{5}}$

Use the bar graph (see the given figure) to answer the following questions.

(a) Which is the most popular pet?

(b) How many children have dog as a pet?

Two men running towards each other at 4 m/s and 6 m/s respectively, are one km apart. how long will it take before they meet?

What will be $\frac{3}{4}$ divided by 3?

Goutham takes 497 hours to deliver 3,976 food packets to the homes on his food route. What is the rate per hour at which he deliver food packets?

If Chameli had$Rs.600$ left after spending $75\%$ of her money, how much did she have in beginning?

Area of a plot is $693{\text{m}}^2.$ It is known that the length of the plot is a prime number. Find the possible value(s) of the length.

$\text{Subtract}\frac{7}{4}\text{from}$$\frac{11}{7}$.

Which of the following figures has/have both line symmetry and rotational symmetry?

(i) Square (iii) Pentagon

(ii) Rectangle (iv) Isosceles triangle

Interview a person whom you admire either in school or your neighbourhood and record it in writing.

The ratio of number of boys to that of girls in a class is 3:2. Find the percentage of boys in the class.

Find the solution set for $x+\frac{5}{2}<-\frac{5}{2}+5x$; where $xϵZ$

Which of the following are known as two circles with equal radii with different centres?

Convert 5 into base-5 system.

Find whether the following table satisfies the EULER'S formula or not. [4 MARKS]

$\begin{array}{ccc}No.ofFaces& No.ofVertices& No.ofEdges\\ 3& 4& 6\\ 3& 8& 12\\ 4& 6& 12\\ 3& 20& 30\\ 5& 12& 30\end{array}$

Question 100

Write two Pythagorean triplets, each having one of the numbers as 5.

You bought a pen for Rs.5.50 and a notebook for Rs.20.75. If you paid the shopkeeper Rs.30, how much will he return you?

If you join all the diagonals of a rectangle, how many pairs of congruent triangles will you get?

Relate 36 $\frac{km}{h}$ with $\frac{m}{s}$.

Sum of two numbers is $\frac{3}{4}$, One number is $\frac{1}{8}$. Find the other one ?

Find the missing number in the sequence.

56, 42, ?, 20, 12, 6, 2

Choose the following:

Convert the decimal $0.666666\dots$ into a fraction

Find the difference between the mean and range of the following data set:

12 86 45 78 23 56