Class 7 Mathematics

Sample Paper - 2

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)

1. (–18) × (–10) × 9 = ________.

2.  of 24 = _______.

3. Mean of first five whole number = ______.

4. Simple equation for the number b divided by 5 gives 6 = _______.

5. Each pair of interior angles on the same side of transversal are _________.

6. 6 bowls cost Rs 90. What would be the cost of 10 such bowls = _________.

7. The place value of 7 in 2.876 is =_________.

8.    in percentage form = _______.

9. Two angles on a plane are called______ if they have common arm and common vertex.

10. The sum of the length of the sides of a triangle is known as _______.

 

Question 2:

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

    1. By joining any two points on the circumference of a circle we obtain

2. The sum of two angles of a right-angled triangle is

3. The smallest of the fractions   , ,   ,   is

4. An angle whose measure is 180⁰ is called

5. 70 + 6 +  

 

Question 3:                                                                                                                            

    Do as directed:                                                                                               (1 X 5 = 5)

     1. Write the value of  in decimals.

2. Write Hindu – Arabic numeral for XCI.

3. Write the predecessor of -69.

4. Write the prime factors of smallest 4- digit numbers.

5. Solve 764 X 331 + 764 X 169 using distributive property.

 

SECTION – B (2 Marks each)

Question 4:

If Manohar pays an interest of Rs 750 for 2 years on a sum of Rs 4,500, find the rate of interest.

 

Question 5:

Selling price of a toy car is Rs 540. If the profit made by shopkeeper is 20%, what is the cost price of this toy?

 

Question 6:

Solve and write the answer in exponential form:

( ) X 3²

 

Question 7:

Express the number appearing in the following statements in standard form.

1. The distance between Earth and Moon is 384,000,000 m.

2. Speed of light in vacuum is 300,000,000 m/s.

 

Question 8:

Find the value of p.

-4 = 5(p-2)

 

Question 9:

How much less is 28.8 km than 42.3 km?

 

Question 10.

The first three terms of a proportion are 3,5 and 21 respectively. Find its fourth term.

 

Question 11.

Write the number of vertices, faces and edges of a cylinder.

 

Section – C (3 marks each)

Question 12.

Write the expanded form for the following:

1. 279404

2. 20068

 

Question 13.

Find the value of x and find the values of angles in the given figure given below.

 

 

Question 14:

Solve the following:

1. Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

2. Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi's age?

 

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                                               

1. Area of the parallelogram.

2. The height corresponding to the base AD.

    

      

 

Question 16:

     List three rational numbers between – 2 and – 1.

 

Question 17:

Reena’s mother said, to make idlis, you must take two parts rice and one-part urad dal. What percentage of such a mixture would be rice and what percentage would be urad dal?

 

Question 18:

Population of Rajasthan = 570 lakhs and population of U.P. = 1660 lakhs.

Area of Rajasthan = 3 lakh km² and area of U.P. = 2 lakh km².

(i) How many people are there per km2 in both states?

(ii) Which state is less populated?

 

Question 19:

Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14.

 

Section – D (5 marks each)

Question 20:

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed  of the water. Pratap consumed the remaining water.

1. How much water did Vidya drink?

2. What fraction of the total quantity of water did Pratap drink?

 

Question 21:

Find the value of x in each of the following figures if l|| m.

1.                                              (ii)

 

Question 22:

Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case.

1. Gardening shears bought for Rs 250 and sold for Rs 325.

2. A refrigerator bought for RS. 12,000 and sold at Rs. 13,500.

 

Question 23:

Find the product, using suitable properties:

1. 26 × (– 48) + (– 48) × (–36)

2. 8 × 53 × (–125)

3. 15 × (–25) × (– 4) × (–10)

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