Class 6 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, 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 and

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

 

SECTION – A

Question 1:

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

1. Place value of 7 in 67, 438 = ______.
2. A line segment has _____ length.
3. Side of the square is 6cm, its perimeter = ______.
4. The algebraic expression for 7 subtracted from x = _______.
5. The ratio of 15 cm to 2 m in reduced form = _________.
6.  30 and 1 tenth in decimal = _________.
7. In proper fractions, the numerator is always ______than the denominator.
8.  150 m below sea level with an appropriate sign = _______.
9. 25 cm into m = _______.
10.  An isosceles triangle has______ line of symmetry.

 

Question 2:

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

1. The formula to find the area of a square = 4 x side.
2. The face value of 8 in 8, 854 is 8000.
3. 1 Lakh = 1000 hundreds.
4. 0 is always greater than all positive integers.
5. There are 3 lines of symmetry in an equilateral triangle.

 

Question 3:

Do as Directed:                                                                                  (1 X 5 = 5)

1. Write the largest negative integer.
2. Write the predecessor of 4,57,700.
3. Write all prime numbers between 80 to 100.
4. Write the name of a triangle which has all three unequal sides.
5. Write the smallest even prime number.

 

SECTION – B (2 Marks each)

Question 4:

Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, 3 each only once.

 

Question 5:

Arrange integers in descending order:  -175, 120, -20, 1

 

Question 6:

Find 61809 is divisible by 11 or not.

 

Question 7:

Reeta pays Rs 1500 to her piano teacher and Rs. 750 to a donation club every month. Find the total amount paid by her in one year.

 

Question 8:

A rectangular table top measures 2 m 25 cm by 1m 50 cm. What is the perimeter of the top?

 

Question 9:

Write the algebraic expression for the following:

1. y is multiplied by -5 and then 5 is added to the result.

2. 5 is divided by a and then 7 is subtracted from the result.

 

Question 10:

Determine if the following are in proportion.

1. 15, 45, 40,120

2. 32, 48, 70, 210

 

Question 11:

Arrange the following in descending order:

,  , , 

SECTION – C (3 Marks each)

Question 12:

1. Name the number of faces, edges and vertices of a triangular prism.

2. Name the triangle in two different ways: ∆ ABC with ∠B= 1100 and AB = AC.

 

Question 13:

A merchant had Rs. 61243 with him. He placed an order for purchasing 60 ceiling fans for Rs. 900 each. How much money will remain with him after purchase?

 

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:

1. Find the number of right angles turned through by the hour of a clock when it goes from 1 to 7.

2. How many degrees are there in two right angles?

3. Write the number of faces and edges in a square pyramid.

 

Question 16:

Write in decimal form:

1. The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?

2. The length of a young gram plant is 65 mm. Express its length in cm.

3. Rahul bought 4 kg and 90 gm of apples. Express in kg.

 

Question 17:

Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?

 

Question 18:

Answer the following:

1. Can two lines intersect in more than one points?

2. How many lines can pass through one given point?

3. How many lines can pass through two given points?

 

Question 19:

Find the LCM of 20, 25 and 30.

 

SECTION – D (4 marks each)

Question 20:

The bar graph given below shows the amount of wheat purchased by the government during the year 1998 - 2002. Read the graph and answer the questions given below:

1. Which year was the wheat production?

2. Which year was the minimum wheat production?

3. What is the total production of wheat from 1998 – 2002

4. Which years got the same production of wheat?

 

Question 21:

1. Estimate the sum 3390 + 4986 to the nearest thousand.

2. Estimate the product 578 x 617 to the nearest hundred.

 

Question 22:

Using suitable properties, find:

1. 4 x 866 x 25.

2. 900 x 248.

 

Question 23:

1. A piece of wire   cut into two pieces. One piece was    metre long. How long is the other piece?

2. Add   and  .

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