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Question 5(v)
Write the following equation in statement form:
$\frac{3m}{5}=6$

Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below

Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Which of the following is/are true?

Let $f\left(x\right)=x^3\{\sqrt{x^2+\sqrt{x^4+1}}-x\sqrt{2}\}$. Then $\underset{x\to \infty }{lim}f\left(x\right)$ is equal to

Tom returned home and his father takes him to the railway station as there were guests coming home. When they reached the railway station, the train hasn't arrived and Tom looks at the railway tracks and thinks that two tracks do not meet, what are they called as?

If the ratio of length and breadth of a rectangle is 5:4 and its perimeter is 180 m, then find length and breadth of the rectangle.

A train took 5 hours to cover 300 kilometers. Calculate the average speed of the train.

Which of the following statements is true?

1. 75

To get the wall (8 m $\times$ 4 m) as shown in the figure painted, if the cost of painting per square metre is ₹5, then how much will it cost to paint the wall? The dimensions of the door are 2.4 m and 1.2 m.( The door is not to be painted)

Two angles of a triangle are in the ratio $\frac{2}{3}:\frac{3}{2}$ and the third angle is ${50}^{\circ }$. The two angles are:

A hostel has ration for 60 days for 500 students. After 12 days 300 more students joins the hostel. How long will the same ration last?

Unit digit of a number is 3 more than the tens digit. If the number obtained by interchanging the digits 27 more than the original number. Go d the sum of the digits of the smaller number

Simplify:

$10a{b}^3-8a{b}^3$

Take nine numbers forming a square in a calendar and mark the four numbers at the corners. Then the difference between the product of the diagonal pairs is always ____.

(a) If 5z + 27 = 3z + 33, find the value of z. [2 MARKS]
(b) If 7x + 14 = 34 - 3x, find the value of x.

Question 5 (i)

Line l is the bisector of an angle $\angle AandB$ is any point on l. BP and BQ are perpendiculars from B to the arms of $\angle A$ (see the given figure). Show that:

$\Delta APB\cong \Delta AQB$

In ΔABC, if ∠A = 50°, ∠B = 60°, then what is the measure of ∠C?

Simplify:

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

The additive inverse of $\frac{-21}{-4}$ is

Question 4 (iv)

Find the value of:
$\frac{-1}{8}÷\frac{3}{4}$

Solve :
$\frac{3}{8}+\frac{5}{8}-\frac{7}{8}$

An angle is thrice its supplement find the measure of both the angles.

If CD is a median of $\Delta$ABC, then find the ratio of area $\left(\Delta ADC\right)$ to area $\left(\Delta CDB\right)$.

Question 97

Match the items of Column I with that of Column II.

$\begin{array}{cccc}& ColumnI& & ColumnII\\ \left(i\right)& Thenumberofcornersofaquadrilaeral& \left(a\right)& =\\ \left(ii\right)& Thevariableintheequation2p+3=5& \left(b\right)& constant\\ \left(iii\right)& Thesolutionoftheequationx+2=3& \left(c\right)& +1\\ \left(iv\right)& solutionoftheequation2p+3=5& \left(d\right)& -1\\ \left(v\right)& Asignusedinanequation& \left(e\right)& p\\ & & \left(f\right)& x\end{array}$

The shoe size of 10 adults is as follows:

7, 7, 6, 6, 8, 9, 8, 6, 8, 10

This is ______ data.

Question 19

$x-4=-2$ has a solution

(a) 6

(b) 2

(c) - 6

(d) - 2

In the given fig. locate the position where the ball lies on the number line.

Which of the following integers is same as its additive inverse?

If $AB=O$, then which of the following is always true

Subtraction of $pq+6p^2-2q^2$ from $9p^2+2pq-3q^2$ will give the expression .

A ladder of length 41 m rests against a wall. If it reaches a height of 40 m from the ground, then the distance of the foot of the ladder from the wall is ___ m.

A cat is at number 3. A rat is at number 10. Assuming both are standing on a number line, how far is the rat from the cat?

Question 20

Fill in the blanks to make each statement true:

9x- ............... =-21 has the solution (-2).