­Class 7 Mathematics

Sample Paper - 1

MAX. MARKS: 80                                                                                    DURATION:  2½ HRS

General Instructions:            

(i). All questions are compulsory.

(ii). This question paper contains 23 questions divided into four Sections A, B, C and D.

(iii) Section A comprises 3 Questions (Fill in the Blanks, Multiple choice questions and Do as direct) of 20 marks.

(iv) Section B comprises 8 questions of 2 marks each.

(v) Section C comprises 8 questions of 3 marks each.

(vi) Section D comprises 4 questions of 5 marks each.

 

SECTION – A

Question 1:

FILL IN THE BLANKS:                                                                                    (1 x 10 = 10)

(a) (-25) X 8 + (-25) X 2 = ________.

(b) The supplement of angle 125⁰ = ________.

(c) An exterior angle of a triangle is equal to the________ of its interior opposite angles.

(d) The sum of the interior angles of a triangle is = _______.

(e) 3n +7 = 25, n = _______.

(f) Line which cuts two parallel lines is called ______.

(g) Fractions which have denominators greater than numerators are called______ fractions.

(h) Ratio of 15 Kg to 210g = ______.

(i) Area of square whose perimeter is 320 cm = ________.

(j) Express 128 as a power of 2= ________.

 

Question 2:

Choose the correct answer:                                                                          (1 x 5 = 5)

1. If   =     , then the value of x is

(a) -14              

(b) 14                           

(c) 21                            

(d) - 21

 

2.    as rate percent is

(a) 7.5 %                      

(b) 75 %                       

(c) 0.75 %                    

(d) none of these

 

3. The area of a rectangular sheet is 300 cm², if the length of sheet is 25 cm, then width of the sheet is

(a) 36 cm                     

(b) 12 cm                     

(c) 50 cm                     

(d) 20 cm

 

4. A Cuboid has

(a) 8 vertices   

(b) 12 vertices

(c) 6 vertices   

(d) 7 vertices

 

5. The value of 3a – b + 4 – (a – b)

(a) 2a – 4                     

(b)  2a + 4                    

(c) -2a + 4                    

(d) -2a -4

 

Question 3:

Do as Directed:                                                                                                 (1 X 5 = 5)

1. A cricketer scores the following runs in eight innings: 58, 76, 40, 35, 46, 45, 0, 100. Find the mean score.

2. Find the value of 2 -    .

3. Write 0.09 in the percentage form.

4. Express 1000 as a product of power of prime factors.

5. 12 p – 5 = 5, Find the value of p.

                                                                   SECTION – B (2 Marks each)

Question 4:

Is there a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm?

 

Question 5:

Find    of 18 and 27.

 

Question 6:

Express   as a rational number with 

1. Denominator = 32
2. Denominator = -40

 

Question 7:

Simplify (- 2)³ X (-10)³

 

Question 8:

If I take three-fourths of a number and add 3 to it, I get 21. Find the number.

 

Question 9:

Give four rational numbers equivalent to .

 

Question 10:

State the number of lines of symmetry for the following figures.

1. An Equilateral triangle

2. A square

3. A Circle

4. A regular hexagon

 

Question 11:

Find the angle which is equal to its complement.

 

SECTION – C (3 Marks each)

Question 12:

Solve the following:

  1. 7 m +   =13

   2.   + 7 = 5

 

Question 13:

Express the following numbers in the standard form:

1. 5985.3

2. 65,950

3. 70,040,000,000

 

Question 14:

1. The sum of two integers is – 55. If one of them is 80, Find the other?

2. Write all integers from 0 to -6 in increasing order.

 

Question 15:

The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm. Find the

(a) area of the parallelogram.

(b) the height corresponding to the base AD.

 

Question 16:

Simplify:

(a) (2 )³ X (a)³ X 5 a ⁴

(b) 

 

Question 17:

Rs7,000 is borrowed at 3.5% rate of interest p.a. borrowed for 2 years. Find the amount to be paid at the end of the second year.

 

Question 18:

Multiply and reduce to lowest form and convert into a mixed fraction:

1. 20 ×       

2. 13 ×     

3. 15 ×

 

Question 19:

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

1. What is the height of the tallest girl?

2. What is the height of the shortest girl?

3. What is the range of the data?

4. How many girls have heights more than the mean height?

 

SECTION – D (5 marks each)

Question 20:

In a class test containing 15 questions, 4 marks are given for every correct answer and (-(-2) marks are given for every incorrect answer.

  1. Gurpreet attempts all questions but only 9 of her answers are correct. What is  her total score?

  2. One of her friends gets only 5 answers correct. What will be her score?

 

Question 21:

(a) From the sum of 3x – y + 11 and – y – 11, subtract 3x – y - 11

(b) From the sum of 4 + 3x and 5 – x + 2x2, subtract the sum of 3x2 – 5y and –x2 + 2x + 5

 

Question 22:

If 250 is to be divided amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts.

How much money will each get? What will it be in percentages?

 

Question 23:

Tell whether the following is certain to happen, impossible, can happen but not certain.

  1. You are older today than yesterday.

  2. A tossed coin will land heads up.

  3. A die when tossed shall land up with 8 on top.

  4. The next traffic light seen will be green.

  5. Tomorrow will be a cloudy day.

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