List of practice Questions

Ila read 25 pages of a book containing 100 pages. Lalita read $\frac{2}{5}$ of the same book. Who read less?

Examine whether the following are polygons. If anyone among these is not, say why?

Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$ of an hour. Who exercised for a longer time?

In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?

A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?

Give reasons for the following:
(a) A square can be thought of as a special rectangle.
(b) A rectangle can be thought of as a special parallelogram.
(c) A square can be thought of as a special rhombus.
(d) Squares, rectangles, parallelograms are all quadrilateral.
(e) Square is also a parallelogram.

Say true or false:
(a) Each angle of a rectangle is a right angle.
(b) The opposite sides of a rectangle are equal in length.
(c) The diagonals of a square are perpendicular to one another.
(d) All the sides of a rhombus are of equal length.
(e) All the sides of a parallelogram are of equal length.
(f) The opposite sides of a trapezium are parallel.

Match the equivalent fractions and write two more for each. (i) $\frac{250}{400}$ (ii) $\frac{180}{400}$ (iii) $\frac{660}{990}$ (iv) $\frac{180}{360}$ (v) $\frac{220}{520}$ (a)$\frac{2}{3}$ (b)$\frac{2}{5}$ (c)$\frac{1}{2}$ (d)$\frac{5}{8}$ (e) $\frac{9}{10}$

Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with:
(a) 3 matchsticks?
(b) 4 matchsticks?
(c) 5 matchsticks?
(d) 6 matchsticks? (Remember you have to use all the available matchsticks in each case) If you cannot make a triangle, think of reasons for it.

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?

Reduce the following fractions to simplest form :

$\frac{48}{60}$
$\frac{150}{60}$
$\frac{84}{98}$
$\frac{12}{52}$
$\frac{7}{28}$

Check whether the given fractions are equivalent : (a) $\frac{5}{9}$, $\frac{30}{54}$ , (b) $\frac{3}{10}$, $\frac{12}{50}$ , (c) $\frac{7}{13}$, $\frac{5}{11}$

Find the equivalent fraction of $\frac{36}{48}$ with

numerator 9
denominator 4

Name each of the following triangles in two different ways: (You may judge the nature of angle by observation)

Find the equivalent fraction of $\frac{3}{5}$ having

denominator 20
numerator 9
denominator 30
numerator 27

Write the fractions and match fractions in column I with the equivalent fractions in column II.
$match fractions in column I with the equivalent fractions in column II$

Match the following:

Measure of Triangle		Types of Triangle
(i)	3 sides of equal length	(a)	Scalene
(ii)	2 sides of equal length	(b)	Isosceles right angle
(iii)	All sides are of different length	(c)	Obtuse angle
(iv)	3 acute angles	(d)	Right angle
(v)	1 right angle	(e)	Equilateral
(vi)	1 obtuse angle	(f)	Acute angle
(vii)	1 right angle with two sides of equal length	(g)	Isosceles

There are two “set-squares” in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?

Let PQ be the perpendicular to the line segment XY. Let PQ and XY intersect in the point A. What is the measure of $∠PAY$?

Which of the following are models for perpendicular lines:
(a) The adjacent edges of a table top.
(b) The lines of a railway track.
(c) The line segments forming the letter ‘L’.
(d) The letter V.

Which of the following is NOT the reason for calling steel more elastic than rubber ?

Let $C$ be the centre of the circle $x^2+y^2-x+2 y=\frac{11}{4}$ and $P$ be a point on the circle A line passes through the point $C$, makes an angle of $\frac{\pi}{4}$ with the line CP and intersects the circle at the points $Q$ and $R$ Then the area of the triangle $PQR$ (in unit ${ }^2$) is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Experimental reaction of $CH _3 Cl$ with aniline and anhydrous $AlCl _3$ does not give $o$ and p-methylaniline.
Reason (R) : The $- NH _2$ group of aniline becomes deactivating because of salt formation with anhydrous $AlCl _3$ and hence yields $m$-methyl aniline as the product.
In the light of the above statements, choose the most appropriate answer from the options given below :

An aromatic compound ‘A’ on treatment with aqueous ammonia and heating forms compound ‘B’ which on heating with Br₂ and KOH forms a compound ‘C’ of molecular formula C₆H₇N. Write the structures and IUPAC names of compounds A, B and C

Here is a crossword puzzle: Good luck!

a crossword puzzle
Across
3. Liquid waste products
4. Solid waste extracted in sewage treatment
6. A word related to hygiene
8. Waste matter discharged from human body
Down
1. Used water
2. A pipe carrying sewage
5. Micro-organisms which causes cholera
7. A chemical to disinfect water