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The product of two numbers is 3.92. If one of them is 1.40, then the other number is ____.

Question 2(v)

State True or False.

The cube of a two digit number may be a three digit number.

Find the area of the following figure (in sq. inches).​​

Using an identity, find the square of 101.

A triangle is constructed such that one of its side 8 cm, another side is of length 5.5 cm and the angle opposite to the side of length 5.5 cm is 40${}^{\circ }$. This construction results in the formation of two triangles. Let us call the third vertex of the smaller triangle as $C_1$ and the third vertex of the bigger triangle as $C_2$, as shown in the image below.

Then x${}^{\circ }$ + y${}^{\circ }$ equals

Question 4 (vi)

Find the square roots of the following numbers by the Prime Factorizationmethod:

9604

In the figure given, what is the value of 't' ?

A three-dimensional solid shape has 4 faces and 7 vertices. The number of edges it will have is ___.

The Speed of a car going from Delhi to Agra is 45.75 km/hr. The time taken to travel is 2.5 hrs. Find the Distance between Delhi and Agra.

The amount of gasoline remaining in car's gas tank is related to how long the car has been driven at a constant speed. Select the graph that best represents the scenario.

For the diagram given below, choose the correct pair of corresponding angles.

If the minute hand of a clock is 10 cm long, then the distance covered by the tip of minute hand in 1 hour is:

In the figure below, lines AB and CD intersect each other at point O. The angle pairs ( $\angle$AOD, $\angle$COB) and ( $\angle$AOC, $\angle$BOD) are called ___.

Solve the following.

In 10 hours 8 pumps can empty 74,400 gallons of water. How many gallons of water can be emptied in 6 hours by 12 pumps?

आश्रम
में
काम
करने
या
करवाने
का
कौन-सा
तरीका
गांधी
जी
अपनाते
थे?
इसे
पाठ
पढ़कर
लिखो।

Solve the following problems.

Vijay borrowed a sum of Rs. 5,000 from the State Bank at 13% p.a. simple interest. How much amount should he pay after years?

The angles 'x' and '${90}^{\circ }$ - x' are :

A local park is 32 m long and its width is half of the length. It has two right-triangular grass lawns with the following dimensions. The local gardener wanted to renovate the park so he hired some men. The men agreed to work on the grass lawn at ₹​ 1.2 per sq metre and put new footpath at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

When cost price is greater than selling price, it is a ____.

$△QRS$ is congruent to which of these triangles and what is the congruency condition being fulfilled?

1. 53

Following are the details of exam results for Math and English for a class of 100 students.

$\begin{array}{ccc}& \text{Passed Math}& \text{Passed English}\\ \text{Passed Math}& 25& 20\\ \text{Passed Math}& 35& 20\end{array}$

Find the probability that a student selected at random passed in:
1. both exams
2. exactly one exam
3. at least one exam [3 MARKS]

Question 28

Fill in the blanks to make the statement true.

If 2x + 3 = 5, then the value of 3x + 2 is ............

Indicate antecedents and consequents in the following.

In the given inequation 2x > 6 ; which of the following cannot be the value of the x ?

__ is a mathematical phrase that contains ordinary numbers, variables (like x or y) and operators (like add, subtract, multiply, and divide).

Which of the following option(s) satisfies inequality $\frac{x}{5}\ge -7$?

If two triangles ΔABC and ΔPQR are congruent. Then ∠ABC = ______.

The length and breadth of a rectangular courtyard is 75 m and 32 m. Find, the cost of leveling it at the rate of $3 per m${}^2$. Also, find the distance covered by a boy to take 4 rounds of the courtyard.

Question 77

How many edges, faces and vertices are there in a sphere?

Question 11(i)

Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares. (Hint: If you remove the vertical stick at the end, you will get a pattern of Cs.)