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Find the equivalent fraction of $\frac{3}{50}$ with denominator $100$.

The Sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm more than the shortest side.

Find the length of the Shortest side.

Question 22

State whether the given statement is true (T) or false (F).

5 kg : 7.5 kg = Rs. 7.50 : Rs. 5

(a) How many edges are there in a cylinder?

(b) How many vertices are there in a sphere?

(c) Identify the figure given below?

[3 MARKS]

Question 82

In the following question, state whether the given statement is true (T) or false (F).
A number with three or more digits is divisible by 6, if the number formed by its last two digits (i.e. ones and tens) is divisible by 6.

Question 1 (a)

Using the number line write the integer which is:

3 more than 5

Question 67

In the given figure, how many points are marked? Name them.

Question 1 (e)

Write all the factors of the given number:
12

Question 3(b):

Express the following as improper fractions:

$5\frac{6}{7}$

For the equation: $3z+\frac{7}{2}$ = $\frac{5}{2}$, '$z$' is equal to ____.

What is the decimal notation of one hundredth?

Six friends went to PVR where the seats were numbered from 1 to 16. If the first person sat on the chair numbered 3 then a sixth person will be sitting on chair numbered _____. (Assuming that they sit in the ascending order of the seats).

Which of the following relation is true with respect to Cost Price (C.P)?

Question 160(iii)

For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Find the value of p.
$\frac{p}{12}=12$

Simplify:$(2x-3y)(2x+3y)$

H.C.F of two co-prime numbers is ___

Question 3: Use the figure to name.
(a) A line passing through A

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Karan wants to fence his square field from three sides. Calculate the total cost of the fence if the cost of fencing the field is ₹ 10 per metre.

Which expression matches the statement "add $5x$ and $3x$ and then subtract the result from $12y$”?

How many words, with or without meaning can be formed using all the letters of the word EQUATION, using each letter exactly once?

Prove that n^4 +4 is a composite number for n>1.

Question 108

State whether the statement is True or False.

The successor of $0\times (-25)is1\times (-25)$.

What type of triangles are formed by a diagonal of a parallelogram?

The number 0.42 in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$, is

Question 95

In the following question, state whether the given statement is true (T) or false (F).

If the HCF of two numbers is one of the numbers, then their LCM is the other number.

Draw a line AB. At A, draw an arc of length $3cm$ using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure $\angle QAB$. What is the value of $\angle QAB$?

The three angles of a quadrilateral are 80°, 70° and 120°. The fourth angle is -

If we consider the angle made between the hour hand and minute hand, which of the following times make an acute angle?

Choose the correct option.

Which is the algebraic equation for the statement "a number divided by nine is fifteen"?

Data collected in a survey shows that $40\%$ of the buyers are interested in buying a particular brand of toothpaste. The central angle of the part of the pie chart representing this information is

Question 64

The students of a school belonging to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio of

a) The number of Hindu students to the number of Christain students.

b) The number of Muslim students to the total number of students.

What is the angle between two adjacent faces of a cube?

Question 10

Determine if 25110 is divisible by 45.

[Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].

Which of the following is true for a regular solid shape?

In the figure, $AC=10$ cm, $PC=15$ cm, $PQ=12$ cm, find $PB.$

Question 32

State whether the given statements are true (T) or false (F).

A ratio can be equal to 1.

According to the distributive law of multiplication over addition, for any 3 whole numbers a, b and c;
$a\times (b+c)=$ _________

A figure is said to have a line symmetry when

How many images will be formed if a face is kept between two parallel straight mirrors? [1 MARK]

Question 1 (e)

Find the sum of the following:

0.75 + 10.425 + 2

Write the number 34879 in expanded form.

In triangle ABC, right angled at B, if $\angle A$ is ${45}^{\circ }$, find the value of cot A and tan C.

Question 4(c) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{2}{3}\square \frac{2}{4}$

Which of the figures given below are symmetric?
(Each figure has given a number from 1 to 4. Select the corresponding number.)