Friday, October 10, 2014

7TH MATHEMATICS SUMMATIVE MODELPAPER 2

                                                                                                             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

Q.1)  1. Which is the value of (7)2
(a) 49 (b) 14 (c) (d) 9

Q2). Which is the value of 5º×aº

(a) 0 (b) 1 (c) 5 (d) 2

Q3). Which is the Product of 0.3×15
(a) 45 (b) 4.5 (c) 0.45 (d) 0.5


Q4). Which is the correct digit in the blanks of    -2X-----   =  -36
(a) -6 (b) -18 (c) 18 (d) 6

Q5). Which is the simplest form of 15:40
(a) 3:8 (b) 3:4 (c) 3:10 (d) 8:3

Q6). What is percentage if convert to percent
(a) 60% (b) 50% (c) 30% (d) 15%

Q7)A vehicle covers a distance of 89.1 km in 2.2 hours. What is the average distance covered by it in 1 hour?
(a) 40.5 m (b) 40.5km (c) 4.05 km (d) 405 km

Q8). What is area of Square ABCD if AB=4cm
(a) 16 cm2 (b) 8 cm2 (c) 4cm2 (d) 64 cm2

Section B

Each question carries two marks.                               6 x 2 = 12

9). Ram carries a bag weighing 5.5 kg. How many grams is it ?

10). The measures of two sides of a Parallelogram are in the ratio 17:7 If the secondside measures 3.5 cm. Find the perimeter of the Parallelogram.
                                                OR
Find the perimeter of rectangle ABCD given that AB=13cm. BC=8 cm.

11). Construct a ΔPQR in which PQ=7cm and hypotenuse QR=12cm.

12). Write three capital letters of the English alphabet. Which have rotational symmetryand reflectional symmetry.

13). Find the rate of interest if P=Rs. 6500 S.I.=Rs. 1300 T=4 years.
                                         OR
By selling a watch for Rs. 1275 Javed lost 15%. At what price should he sell tomake a proft of 10%.

14). The total wages of 30 laboures were Rs. 3450 per day. What will be the total wagesif 12 more laboures added to the team?


Section C
Each question carries three marks.                             10 x 3 = 30

15). In Janpath market the cost of a packet of coffee is Rs. 240. One shopkeeper advertiescoffee at off and another shopkeeper affers off. Which of the two is a betterbuy. What is the difference in the price at which it is sold.

16). By how is the difference of 604 and 406.064 less than their sum ?
                                       OR
Cathy spent of her pocket money. If she spent of it for a movie, for booksand the rest for a dress. What part of her pocket money did she spend on thedress?

17). Simplify : (a) (4º-2º) (4º+2º) (1½+2½)

18). 40% Population of a town are men 35% are women and the remaining are children.If the number of children is 28000. What is the total population of the town ?

19). If Rs. 900 amounts to Rs. 1044 in 4 years. What sum will amonts to Rs. 1368 in 3½years at the same rate ?

20). If a pair of shoes cost Rs. 106.3 and a pair of socks cost Rs. 18.65. How many setsof shoes and socks can be bought with Rs. 1000 ?

21). A lown is 80m long and 60m wide there is a swimming pool of length 20m×6m inthis lawn. What will be the cost of putting grass in the remaining part of the fieldat Rs. 30 per square metre.

22). Roshni reads hours on the first day hours on second day and hour onthe third day. If this pattern continues how long will she read on the fifth day.
                                  OR
In a theatre for a show the audience were women and of these women wereschool girls. If the total audience were 600 in number how many were school girls.






23). A Social Service group buys 43.7kg. of rice at Rs. 12 per kg. and distributes it equallyamongst 152 poor people. What was the cost of the quantity of rice that each persongot?

Q 24. A box has 10 balls. 3 balls are yellow, 2 balls are red and the remaining are green. Find the probability that a ball drawn
is
a) red.
b) yellow.
c) green.

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?

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