List of practice Questions

Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.
Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?
Represent the following numbers as integers with appropriate signs.
(a) An aeroplane is flying at a height two thousand metre above the ground.
(b) A submarine is moving at a depth, eight hundred metre below the sea level.
(c) A deposit of rupees two hundred.
(d) Withdrawal of rupees seven hundred.
Write opposites of the following :
(a) Increase in weight
(b) 30 km north
(c) 80 m east
(d) Loss of Rs 700
(e) 100 m above sea level
Find the sum in each of the following:
  1. 0.007 + 8.5 + 30.08
  2. 15 + 0.632 + 13.8
  3. 27.076 + 0.55 + 0.004
  4. 25.65 + 9.005 + 3.7
  5. 0.75 + 10.425 + 2
  6. 280.69 + 25.2 + 38
Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be , x what is the number of oranges in the larger box?
Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is , \(l\) how many laddus did she make?
Leela is Radhaโ€™s younger sister. Leela is 4 years younger than Radha. Can you write Leelaโ€™s age in terms of Radhaโ€™s age? Take Radhaโ€™s age to be x years.
A bird flies 1 kilometer in one minute. Can you express the distance covered by the bird in terms of its flying time in minutes? (Use t for flying time in minutes)

๐‘†1 and ๐‘†2 are two identical sound sources of frequency 656 Hz. The source ๐‘†1 is located at ๐‘‚ and ๐‘†2 moves anti-clockwise with a uniform speed of 4\(\sqrt{2}\) ms-1 on a circular path around ๐‘‚, as shown in the figure. There are three points ๐‘ƒ, ๐‘„ and ๐‘… on this path such that ๐‘ƒ and ๐‘… are diametrically opposite while ๐‘„ is equidistant from them. A sound detector is placed at point ๐‘ƒ. The source ๐‘†1 can move along the direction ๐‘‚๐‘ƒ. [Given: The speed of sound in air is 324 ms-1]. When only ๐‘†2 is emitting sound and it is at ๐‘„, the frequency of sound measured by the detector in Hz is _________

Name each polygon: 
polygon
Make two more examples of each of these.
Find answers to the following. Write and indicate how you solved them. 
  1.  Is \(\frac{5}{9}\) equal to \(\frac{4}{5}\) ? 
  2.  Is \(\frac{9}{ 16}\) equal to \(\frac{5}{9}\) ? 
  3.  Is \(\frac{4}{5}\) equal to \(\frac{16}{20}\) ? 
  4.  Is \(\frac{1}{15}\) equal to \(\frac{4}{30}\) ?
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?
polygons
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. 
construct triangles using match sticks
H3PO3 can be represented by structures 1 and 2 shown below. Can these two structures be taken as the canonical forms of the resonance hybrid representing H3PO3 ? If not, give reasons for the same.
H3PO3
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 :
  1. \(\frac{48}{60}\) 
  2. \(\frac{150}{60}\) 
  3.  \(\frac{84}{98}\) 
  4.  \(\frac{12}{52}\) 
  5.  \(\frac{7}{28}\)
Check whether the given fractions are equivalent : (a) \(\frac{5}{9}\), \(\frac{30}{54}\) , (b) \(\frac{3}{10}\), \(\frac{12}{50}\) , (c) \(\frac{7}{13}\), \(\frac{5}{11}\)