SUMMATIVE ASSESSMENT - II

CLASS: VII

Subject: Mathematics

Time allowed: 3hrs      .                                       Maximum Marks: 90

General instructions:

 1.All questions are compulsory.

 2.This question paper consists of 34 questions divided into four sections A, B, C, D. Section A comprises of 8 questions of 1 mark each, section B comprises of 6 questions of 2 marks each, section C comprises of 10 questions of 3 marks each, section D comprises of 10 questions of 4 marks each.

3.Question numbers 1 to 8 in section A are multiple choice questions where you have to select one correct answer out of the given four. Show working for section B, C and D

4.There is no overall choice. However internal choice has been provided  You have to attempt only of the alternatives in all such questions

5.Please check this question paper contains 5 printed pages only.

Section A

Each question carries one mark.                                8 x 1 = 8

Q1).In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

(i) 18 (ii) 12 (iii) 4 (iv) 8

Q2).Out of 32 students, 8 are absent. What per cent of the students are absent?

(i) 40% (ii) 8% (iii) 4% (iv) 25%

Q3).In a city, 30% are females, 40% are males & remaining are children. What per cent are children?

(i) 40% (ii) 30% (iii) 60% (iv) 70%

Q4).Ram saves Rs. 400 from her salary. If this is 10% of her salary, what is her salary?

(i) 40000 (ii) 9000 (iii) 4000 (iv) 10000

Q.5)  Which of the following is the value of ‘m’ in the equation 3m – 14 = 4

(i) 4 (ii) 5 (iii) 6 (iv) 7

Q6).An article purchased for Rs.1000 is sold for Rs.1100.What is his gain percentage?

(i) 40% (ii) 30% (iii) 20% (iv) 10%

Q7).You have Rs.2400 in your account & the interest rate is 5% per annum. After how many years would you earn Rs.240 as interest?

(i) 1yr. (ii) 2yrs. (iii) 4yrs. (iv) 8yrs.

Q.8) The sum of three times a number & 11 is 32. Find the number?

(i) 6 (ii) 7 (iii) 10 (iv) 21

Section B

Each question carries two marks.                                        6 x 2 = 12

Q.9) Is it possible to have a triangle with the following sides?

           3cm, 4cm, 5cm

Q.10) Check whether each value given in the brackets is a solution to the given equation or not:6p – 3 = 21   (p=2, p=4)

Q.11) Find the base, if the area of the ΔABC is 48cm² and the height is 8cm.

Q.12) Find 15% of 600kg

Q.13) Construct an equilateral triangle of side 6cm

Q.14) In ΔABC and ΔPQR, AB=3.5cm, BC=7.1cm, AC=5cm, PQ=7.1cm, QR=5cm and PR=3.5cm. Examine whether the two triangles are  congruent or not. If yes, write the congruence relation in symbolicform.

Section C

Each question carries three marks.                                       10 x 3 = 30

Q15. State No. of line of Symmetry for the following:

       Square. Rectangle, Circle, Equilateral triangle.

Q16. Express 108 x 192 as product of prime factors

Q17. What should be added to (x²+ x y + y²) to obtain (2x²+ 3xy)

Q18. The cost of a Flower vase is Rs. 120. If the shop keeper sales it at a loss of 10 % find the price at which it is sold.

Q19. What rate gives Rs. 280 as interest on a sum of Rs. 56,000 in 2 years?

Q20. Give two examples with no line of Symmetry with diagram

Q21).Angles of a quadrilateral are in ratio 2 : 3 : 3 : 4, find out all the angles of quadrilateral

Q22). Out of 30 students in a hostel, 8 are going to market, 20 are going to watch T.V, rest of the students are studying. Convert all of

them into percentages.

Q23). A person divides his income in three equal parts if he gives 2 parts to Ram and 1 part to Shyam. What percentage of money he

gives to Ram and Shyam separately.

Q24). A shopkeeper sells an article of 400, while he purchases it for 402. Find out loss per cent of shopkeeper.

       

Section D

Each question carries four marks.                              10 x 4 = 40  

Q 25 The height of 15 students are given in a 165, 155, 168, 160, 163, 162, 165, 168, 156, 159, 160, 164, 163, 165, 160.

Find :

(i) The range of height

(ii) The Mode

(iii) The Median

Q 26) The length of a rectangular field is twice its breadth. If the perimeter of the field is 150 m, find its length and breadth.

Q 27) Twice a number when decreased by 7 gives 45. Find the number.

Q 28) A tree is broken at a height of 12 m from the ground and its top touches the ground at a distance of 5 m from the base of the tree.

Find the original height of the tree.

Q 29 )The diagonals of a rhombus measure 10 cm and 24 cm. Find its perimeter.

Q 30) Find the simple interest on Rs. 1200 from Jan 1, 2006 to March 14, 2006 at 6% per annum.

Q 31) A man purchases two machines at Rs. 1200 each. On one he gain 20% and on the other he loses 20%. How much does he gain or

lose in whole transaction.

Q 32) Construct ΔABC in which AB = 6 cm, BC = 3.5 cm and CA = 5 cm.

Q 33) Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using a ruler and compass only.

Q 34) Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now, join P to any point Q on l. Choose any other

point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?