DELHI PUBLIC SCHOOL TAPI

CLASS VII SUMMATIVE ASSESSMENT 2

SUBJECT: MATHEMATICS

DATE: 23/03/15 TOTAL MARKS: 100

DURATION: Reading – 15 Mins. + Writing –3 Hrs. 15 Mins. + Revision – 15 Mins.

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General Instructions: a) All questions are compulsory. b) The question paper consists of 34 questions divided into four sections A, B, C, D and E. 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 and Section E comprises of OTBA which carries 10 marks. c) Question numbers 1 to 8 in Section A are multiple choice questions where you are to select one correct option out of the given four. d) Use of calculators is not permitted. e) Draw a rough column on the right hand side for rough calculations. f) Do not write anything on the question paper.

SECTION A Question numbers 1 to 8 carry 1 mark each. 1. A quadrilateral having rotational symmetry, but no line symmetry

a. Square b. Rectangle c. Parallelogram d. Rhombus

2. A right angled triangle has the largest side as 13 cm and one of its side containing the right angle as 12

cm. Its area in cm2 is?

a. 30 b. 39 c. 80 d. 78

3. By what rational number should we multiply -7/11 to get product as 28/33?

a. -3/4 b. -4/3 c. -196/363 d. 363/-196

4. Which of the following values are equal?

a. 15 b. 05 c. 50 d. 51

5. The coefficient of (-x) is

a. 1 b. 0 c. -1 d. x 6. (3p + q) – (p – q) equals

a. 4p b. 2q c. 2p + 2q d. 4p – 2q

7. Which of the following rational numbers is the greatest?

a. −94

b. 11−5

c. −62

d. −54

8. Which of the following solid is a polyhedron?

a. Cone b. Pyramid c. Sphere d. Cylinder

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SECTION B

Question numbers 9 to 14 carry 2 marks each.

9. What should be added to xy – 3yz + 4zx to get 4xy – 3zx + 4yz + 7

10. The cost of 7 23

meters of rope is Rs 12 34

. Find its cost per metre.

11. Write the order of rotation symmetry of the following figures:

a) b) c) d)

12. The area of the rhombus is 42m2. If its perimeter is 24 m, find its altitude.

13. Construct a right angled – triangle one side of which measures 3.5 cm and the length of whose

hypotenuse is 6 cm.

14. Represent the following points on the number line:

a) −1710

b) 258

SECTION C

Question numbers 15 to 24 carry 3 marks each.

15. Subtract (2a – 3b + 4c) from the sum of (a + 3b – 4c) and (4a – b + 9c)

16. Simplify: 35 ×105 ×2557 ×65

17. The sum of two rational numbers is −13

. If one of the numbers is find the other.

18. Construct an isosceles triangle with the length of equal sides as 4.5 cm and that of base side as 5.5 cm.

Measure the angles opposite to the equal sides. What do you conclude?

19. Find six rational numbers between −45

and −13

.

20. Express the following numbers in standard form:

a) 5678.903

b) 56905433200

c) 300000000

−123

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21. Draw a net of a pentagonal prism and mention the number of faces, vertices and edges it has.

22. If square shown in the picture is of size 14 × 14 cm, find the area of the shaded portion.

23. Complete the following table:

Alphabets Name the Line

of Symmetry

Number of lines of

Symmetry

Rotational

Symmetry

Order of Rotational

Symmetry

H

E

I

24. Draw an isometric sketch of the following:

a) Cube of side 5 units

b) Cuboid having dimension as 5 * 3 * 2 units

c) Two cubes each of edge 3 units joined end to end.

SECTION D

Question numbers 25 to 34 carry 4 marks each.

25. Simplify:

a) 23!

"#$

%&2

×−35

!

"#

$

%&3

×72!

"#$

%&2

b) 27!

"#$

%&7

÷23!

"#$

%&4

26. Evaluate:

a) 4a2 + 4a -2 when a = -3

b) 2n3 – 11n - 20 when n =5

27. Evaluate:

124 ×93 × 463 ×82 ×27

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28. Simplify

a) −23+59−−76

"

#$

%

&'

b) −32+54−74

29. A rectangular field is 50 m by 40 m. It has two roads through its centre, running parallel to its sides. The width of the longer and the shorter roads are 1.8 m and 2.5 m respectively. Find the area of the roads and the area of the remaining portion of the field.

29. The diameter of a circular park is 84 m. A 3.5m wide road runs on the outside around it. Find the

cost of constructing the road at Rs 20 per m2.

30. Draw a line AB and draw another line CD parallel to AB at a distance of 4 cm from it. Write the steps

of construction.

31. Draw the Top View, Front View and Side View of the given figure and mention the number of cubes

used required to make the figure.

32. a) In a class of (4y2 + y – 8) students, (2y + 16) play football and the rest play basketball. How many

play basketball?

b) A shopkeeper sells a mobile phone for Rs 30x2 + 20y + 17. If the profit s of Rs 15x2 + 17y - 3,

what is the cost of mobile phone?

33. Simplify:

a) 1118× −9( )+ −3

4×56

b) 269×37

"

#$

%

&'−

1314

×−23

"

#$

%

&'

34. The area of a parallelogram and square are same. If the perimeter of the square is 160 m and the

height of the parallelogram is 20 m, find the length of the corresponding base of the parallelogram.

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SECTION E (OTBA)

ECO CLUB members in a school observed that a land area of 70 x 70 square feet in their school is

wasteland. They planned to develop it as a Herbal Garden and a central attraction point of school to convey

the message, “Go green, go healthy.”

They shared their thought with ECO Club teacher incharge Mrs. Singh. She appreciated the students’ idea

and said that to take over this project we need to plan. Let’s first list out the work needed to be done and

then we will form small groups to work in each area as per the expertise and interest of each student. Mrs.

Singh divided the students into five groups and suggested that all the groups will start working

simultaneously. Responsibilities were assigned as per the following chart:

Work of Team A

Anuj and his team members took the measurements and found that ground of 70 x 70 square feet is

occupied by four identical rooms of dimension 21 x 14 square feet on the four corners. Ground available

appears as follows:

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Anuj first prepared the layout on a grid. He drew the following plan taking the scale as:

Length of 1 square =3.5.ft.

Symbols are used to represent the following items:

Work of Team B

Bindu and her team members prepared the list of items for which the money was required. She got the

price list of all the items.

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Work of Team C

Chetna and her team members consulted their biology and geography teachers and also looked up books

in the library for information. They found that:

Climatic condition : Minimum four hours of sunlight is a must for healthy growth of plants.

Planting Herbs: Planting herbs according to their height ensures that all plants get the right amount of

sunlight. Here is list of herbs according to their plant height. For example: 3-4feet - Rosemary, Sage,

Mint, Oregano, Marjoram 2 feet - Basils, Thyme, Tarragon, 1 foot - Cilantro, Chives, Dill, Parsley

Preparation of the Soil: Garden must be prepared with at least 5 inches of garden soil and 2 inches of

fertilizer in depth. Composted manure works well as a fertilizer for supporting healthy herb growth.

Adding compost to soil, about an inch or so on top and then mixing it into the soil, helps prevent

drainage problems and adds fertilizer to the garden.

Work of Team D

Dilip and his team members prepared the list of 25 Herbs suitable for the location.

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Work of Team E

While planning for the tools required for plantation and maintenance of garden Esha found that all tools

were available with school gardener, but a sprinkling system was required to water the plants.

 

           35.  Determine the area of the ground available for gardening. (2)

36. Calculate the cost of tilling the path. (4)

37. What message do you get from slogan : Go Green, Go healthy? (2)

38. If breadth is decreased by 14 feet then how much length will be increased so that the area of the

ground remains the same. (2)

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