Dwarka International School

Dwarka International School

Subject : Mathematics

Sample paper - VII ( 2017 – 18)

General Instruction : M.M:80

(i)All questions are compulsory.

(ii)The question paper consists of 30 questions divided into 4 – sections

A ,B ,C & D.

(iii)Section A consists of 6 questions of 1 mark each. Section B consists of

6 questions of 2 marks each, Section C consists of 10 questions of 3 marks each & Section D consists of 8 questions of 4 marks each.

Section: A (1x6=6)

Q.1. Find the side of a square whose perimeter = 80 cm .

Q.2.Write the probability of a certain outcome .

Q.3.Write the co – efficient of in

Q.4. what is the measure of each angle of an equilateral triangle .

Q.5.Find the gain if , S.P = Rs. 460 and C.P = Rs.400

Q.6.Write the degree of a polynomial

Section – B ( 2x6=12)

Q.7.Express as a rational number with denominator =

Q.8. Subtract from

Q.9. Solve :

Q.10. Find the number whose 14% is 28 .

OR The price of a muffin increases from Rs .4 to Rs.7 . What is the percentage

increase .

Q.11. Draw any . Through vertex A , draw the line parallel to BC .

Q.12.Add : and

Section – C (3X10=30)

Q.13.Re- arrange the following rational number in descending order :

Q.14.The area of a rhombus is 42 m2 . If its perimeter is 24 m , find its altitude .

OR The diameter of a semi – circular protractor is 7 cm . Find its perimeter .

Q.15.An ordinary dice is rolled . What is the probability that the number of dots

on its upper face is : (i) 3 (ii) an even number .

Q.16.From the sum of and , subtract

Q.17.Solve for

Q.18. In the given figure , AC = EC , BC = DC. Show that ,

Q.19.Vinay bought a house for Rs. 4,50,000 . He spent Rs.20,000 on its repairs

and white washing and then sold it for Rs. 4,30,000 . Find his gain% or

loss% .

Q.20. Find the median and mode of the following data :

1 , 16 , 11 , 6 , 11 , 8 , 14 , 11 , 21 .

Q.21. Construct a , in which PQ = 5.5 cm , QR = 6.5 cm and PR = 5 cm.

Write steps of construction .

Q.22.Find the mean of the following frequency distribution:

OR If the mean of is 24 , find

Section – D (4x8=32 )

Q.23.Simplify :

OR Find five rational number between and

Q.24.A garden is 90 m long and 75 m broad . A path 5 m wide is to be built

outside around the garden along its border . Find the area of the path .

OR Find the circumference of a circle whose area is 154 cm2 . ( use π =

Q.25.A jar contains 3 white , 4 blue , 5 red and 2 green marbles . If a marble is

drawn at random from the jar , what is the probability that the marble is

(i) white (ii) red (iii) green (iv) not blue .

Q.26.In the given figure PM = PN , PM AB , PN AC, Prove that , AN = AM .

OR The vertical angle of an isosceles triangle is . What is the size of each of

its base angle .

Q.27.Find the simple interest and the amount on Rs.184 for 2 years at 5% p.a

Q.28. The number of students in a class arriving late for school in a week was:

Draw a double bar graph to show the above information .

Q.29. Construct a right triangle , right angled at R , in which hypotenuse

PQ = 10 cm , side PR = 7 cm . Write steps also .

Q.30. The total number of students in a school is 1260 . If the number of girls is 52

more than that of the boys , find the number of boys and number of girls

in the school .

OR A number is 6 more than two times another number . The sum of the two

Numbers is 24 . Find the numbers .