Class 6 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, True and False 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. Every positive integer is ______ than negative integer.
2. Fractions with the same denominator are called_______ fractions.
3. 1 crore = ______ lakhs.
4. The ratio of 90 cm to 1. 5 m in reduced form = ______.
5. A cuboid has ______ vertices.
6. 75 paise = Rs. ________.
7. Two negative integers greater than -20 are ______ and ______.
8. Perimeter of triangle with sides 3cm, 4 cm and 8 cm = ________.
9. If p – 3 = 7 then p = ______.
10.  Cost of 6 cans of juice is Rs. 210, then the cost of 1 can = _______.

 

Question 2:

Write true or false.                                                                     (1 x 5 = 5)

1. 99 kg: 45 kg = Rs 44: Rs 20.

2.  < .

3. Shape of a road roller is a cylinder.

4. A number which has more than two factors is called a prime number.

5. If a number ends with 0 and 5 then the number is divisible by 5.

 

Question 3:

Do as Directed:                                                                                        (1 X 5 = 5)

1. Express 21 as the sum of three prime numbers.

2. Write the smallest composite number.

3. Find 1, 00, 000 – 1 =

4. Write 7^th and 8^th multiple of number 13.

5. Find, 639210 is divisible by 9.

 

SECTION – B (2 Marks each)

Question 4:

Read these numbers.

527864, 95432

1. Write these numbers using commas in Indian as well as International System of numeration.

2. Arrange these in ascending and descending order.

 

Question 5:

Find 12 X 35 using distributivity.

 

Question 6:

Which of the following are models for perpendicular lines?

1. The adjacent edges of a table top.

2. The lines of a railway track.

3. The line segments form the letter ‘L’.

4.  The letter V.

 

Question 7:

Represent the following numbers as integers with appropriate signs.

1. An airplane is flying at a height two thousand metre above the ground.

2. A submarine is moving at a depth, eight hundred metres below sea level.

3. A deposit of rupees two hundred.

4. Withdrawal of rupees seven hundred.

 

Question 8:

Write each of the following as decimals:

1. 20 + 9 +     + 

2.  +  +  

 

Question 9:

What is the length of the wooden strip required to frame a photograph of length and breadth 32 cm and 21 cm respectively?

 

Question 10:

Find the first two common multiples of 3, 4 and 9.

 

Question 11:

Population of Sundarnagar was 2,35,471 in 1991. In the year 2001 it was found to have increased by 72,958. What was the population of the city in 2001?

 

SECTION – C (3 Marks each)

Question 12:

Bob wants to cover the floor of a room 3 m wide and 4 m long by squared tiles. If each square tile is of side 0.5 m, then find the number of tiles required to cover the floor of the room.

 

Question 13:

A car travels 90 km in   hours.

1. How much time is required to cover 30 km with the same speed?

2. Find the distance covered in 2 hours with the same speed.

 

Question 14:

Name the types of following triangles:

1. Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

2. ∆PQR such that PQ = QR = PR = 5 cm.

3. ∆DEF with m D∠ = 90°

4. ∆XYZ with m Y∠ = 90° and XY = YZ.

 

Question 15:

Find the sum in each of the following:

1. 0.007 + 8.5 + 30.08

2. 15 + 0.632 + 13.8

3. 27.076 + 0.55 + 0.004

 

Question 16:

Write the three whole numbers occurring just before 10001. 

 

Question 17:

From the figure given below, identify:

1. the centre of circle                                                                   

2. three radii

3. a diameter

4. two points in the interior

5. a sector

6. a segment

 

Question 18:

Find the sum of:

1. 137 and – 354

2. -312, 39 and 192

3. -50, – 200 and 300

 

Question 19:

Sarita bought  metre of ribbon and Lalita   metre of ribbon. What is the total length of the ribbon they bought?

 

SECTION – D (4 marks each)

Question 20:

Find:

1. (– 7) – 8 – (– 25)

2. (– 13) + 32 – 8 – 1

3. (– 7) + (– 8) + (– 90)

4. 50 – (– 40) – (– 2)

 

Question 21:

The floor is 5 m long and 4 m wide. A square carpet having each side 3 m is laid on the floor. Find the area of the floor that is not carpeted.

 

Question 22:

Following pictograph shows the number of tractors in five villages.

 

Observe the pictograph and answer the following questions.

1. Which village has the minimum number of tractors?

2. Which village has the maximum number of tractors?

3. How many more tractors village C has as compared to village B.

4. What is the total number of tractors in all the five villages?

 

Question 23:

The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?

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