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The length of the diagonal of a rhombus is 24 cm. If the side of the Rhombus is 13 cm, find the length of the other diagonal.

Prove that in the following kite, $\Delta ADC$ is congruent to $\Delta ABC$. Given that AD = AB and $\angle ADC$ = $\angle ABC$ = ${90}^{\circ }$
[2 MARKS]

Which of the following numbers is divisible by 8?

Question 3(b)

Is the following statement True or False:

7.5 litres : 15 litres = 5 kg : 10 kg

Identify the terms of expression 4pq + p - q - r.

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क्या
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One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants.
(i) How many saplings should he buy so that his dad can fence the garden with 5 plants every 2.5 meters?
(ii) What is the perimeter of the garden?

Gowtham bought a bicycle for Rs 2,700. If the marked price of the bicycle is Rs 3,000, find the rate of discount.

A rectangular park is of length 48 cm and breadth 32 cm. It is paved for gardening along its boundary. If the width of the flowerbed is 3 cm, find the area to be used for gardening.

$\text{Solve for x:}$



$\frac{x}{3}+\frac{7}{2}=\frac{3}{2}$

Find the area of an equilateral triangle having side 12 cm. [2 MARKS]

As Jack was walking towards the city, he was thinking about the math lecture he would have that day (if it was 2015). He always spared time for the kids because he believes that young minds are the way to a great future. He would teach the 7th students Data Handling. The other day, one of his students asked a question- “Is organized data more useful or unorganized data?”

Quite a doubt it was huh, he answered- “Of course, organized data are more useful because”

The school's cricket coach is providing his team with new uniforms. A uniform includes a jersey, a pair of hand gloves and a pair of cricket pads. One jersey costs $\$12,$ one pair of hand gloves costs $\$15$ and one pair of cricket pads costs $\$10.$



How much it will cost in total if the team has $8$ players?

Question 88 (d)

Write the following number in the form $\frac{p}{q}$, where p and q are integers.
one-fourth

The height of the two buildings is 34 m and 29 m respectively. If the distance between their top is 13 m, find the distance between the two buildings.

Subtract:

(a) 4ax from 8ax

(b) 7pqr from 12 pqr

If a store had ₹ 3000 in expenses and ₹ 4100 in revenue this month, what is the profit for the month?

I have x oranges. My friend has 3 less than 2 times the number of oranges I have. My friend has oranges

The value of π is equal to 3.141592653…………

Which one of the following is the most accurate approximation of $\pi$?

Find:

(i)
of (a)
(b) (c)

(ii)
of (a)
(b) (c)

Which of the following is/are correct?

The point $P(a,b)$ undergoes the following three transformations successively :

(a) Reflection about the line $y=x.$

(b) Translation through $2$ units along the positive direction of $x-$axis.

(c) Rotation through angle $\frac{\pi }{4}$ about the origin in the anti-clockwise direction.

If the co-ordinates of the final position of the point $P$ are $(-\frac{1}{\sqrt{2}},\frac{7}{\sqrt{2}})$, then the value of $2a+b$ is equal to

In a hostel, a certain quantity of rice is spent daily for 30 students. On a certain day, some students were absent, as a result, the quantity of rice spent decreased by a ratio of 1:6 in comparison to a normal day. No. of students absent on that day was ___ .

Which of the following plane figures has a line of symmetry/symmetries?

A piece of land is in the shape of a square and its area is 1000 m². This has to be fenced using barbed wire. The barbed wire is available only in integral lengths. What is the minimum length of the barbed wire that has to be bought for this purpose?

Question 67

Write each of the following rational numbers with positive denominators.

$\frac{5}{-8},\frac{15}{-28},\frac{-17}{-13}$

Hussain bought a television set for Rs 15,000. After some days he sold it for Rs 12,000. Find the percentage of loss.

The square root of $20164$ is calculated by the long division method as shown in the following figure. The value of 'XY' is .

The base and height of a parallelogram are 30 cm and 20 cm respectively. The base has increased by $50$%. Find the area of new parallelogram.

The data below represents the number of quilts manufactured by a factory in different months.





Identify the outlier of this data set.

Pavan followed the steps given below to construct a triangle

Right-angled triangle LMN, with hypotenuse $LN=8cm$ and side $MN=5cm$.

Step 1: Draw line 'l'.
Step 2: Mark a point on 'l' and name it M.
Step 3: Draw a line segment $MN=5cm$ on 'l' .
Step 4: Construct a right angle XMN at M.
Step 5: Draw an arc with N as the centre and radius equal to $8cm$, such that it intersects MX.
Step 6: Mark the point of intersection as L.
Step 7: Join points L and N.

Are the steps followed by him correct?

If it is correct then enter "Yes” if no then enter "No”.