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:
/ 2 / 5 / 7 / 8/ 2 / 4 / 6 / 3
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:
Monday / Tuesday / Wednesday / Thursday / FridayWeek 1 / 4 / 5 / 2 / 3 / 2
Week 2 / 6 / 3 / 4 / 1 / 2
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 .