Sample Question Paper Solutions (Set-4) | Sample Papers For Class 6 PDF Download

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General Instructions:

All questions are compulsory.

• Section A comprises 12 questions carrying 1 mark each.
• Section B comprises 10 questions carrying 2 marks each.
• Section C comprises 8 questions carrying 3 marks each.
• Section D comprises 2 questions carrying 5 marks each.

Q1: If the base of a triangle is doubled while keeping the height the same, how does the area change? (1 mark)
(a) Remains the same
(b) Doubles
(c) Triples
(d) Becomes half

Ans: (b)

Q2: A shopkeeper gains ₹30 one day and loses ₹45 the next day. What is his total profit or loss?   (1 mark)
(a) ₹15 profit
(b) ₹75 loss
(c) ₹15 loss
(d) ₹45 profit

Ans: (c) 

Q3: Which of the following best describes the axis of symmetry?   (1 mark)
(a) A point where the shape rotates
(b) A line that divides a figure into two mirror-image halves
(c) The distance from the center of a shape to its edge
(d) The measure of an angle of rotation

Ans: (b)

Q4: What does frequency represent in data handling?  (1 mark) 
(a) The total number of graphs used
(b) The number of occurrences of values, measures, or observations
(c) The number of colors in a pictograph
(d) The length of a bar graph

Ans: (b)

Q5: Simplify 15/25 to its lowest terms.   (1 mark)
(a) 5/10
(b) 3/5
(c) 2/3
(d) 6/10

Ans: (b)

Q6: What is the next number in the pattern?   (1 mark)
2, 4, 6, 8, __?
(a) 9
(b) 10
(c) 12
(d) 14

Ans: (b) 

Q7: A rectangular field has a length of 15 m and a width of 10 m. What is its perimeter?  (1 mark)
(a) 50 m
(b) 60 m
(c) 40 m
(d) 45 m

Ans:  (b) 

Q8: Which number is missing in the pattern?  (1 mark)
3, 6, __, 12, 15
(a) 7
(b) 8
(c) 9
(d) 10

Ans: (c)

Q9: A figure that has reflection symmetry can be divided into two identical halves along its:
(a) Diagonal
(b) Line of symmetry
(c) Axis of rotation
(d) Perimeter

Ans: (b)

Q10: Which of the following is a factor of 12?   (1 mark)
(a) 5
(b) 6
(c) 7
(d) 11

Ans: (b)

Q11: A diver starts at sea level (0 m) and dives down 25 meters. If he then ascends 10 meters, what is his final depth?   (1 mark)
(a) -35 m
(b) -15 m
(c) 15 m
(d) 35 m

Ans: (b)

Q12: What is the measure of a right angle?  (1 mark) 
(a) 45°
(b) 90°
(c) 180°
(d) 360°

Ans: (b) 

Q13: A triangle has a base of 8 cm and a height of 6 cm. Find its area.  (2 marks) 

Ans:  Area of a triangle = (1/2) × base × height
= (1/2) × 8 × 6
= 4 × 6
= 24 sq. cm

Q14: What sequence do you get when you start to add the All 2’s sequence up? What sequence do you get when you add the All 2’s sequence up and down?  (2 marks) 

Ans:

• All 2’s sequence up: The result is the counting numbers multiplied by 2 (2, 4, 6, 8, ...).
• All 2’s sequence up and down: The result is square numbers (4, 16, 36, 64, ...).

Q15: Draw and label are mentioned:  (2 marks) 
(a) Right angle and label it as ∠ABC. 
​(b) Draw an acute angle and label it as ∠XYZ.

Ans: (a)

(b)

Q16: Below is a sequence of matchstick patterns. Observe the pattern carefully and continue it forward one step. Also, give a number pattern for the same : (2 marks)Number of matchsticks: 6, 11, 16,  ___.

Ans: 
Number of matchsticks: 6, 11, 16, 21.

Q17: A square dining table has a side length of 5 m. If the cost of polishing is ₹20 per square meter, what is the total cost to polish the table?  (2 marks) 

Ans: Area of the square table = side × side
= 5 × 5
= 25 sq. m

Cost per square meter = ₹20
Total cost = 25 × 20
= ₹500

Q18: How many rounds does the number 6174 take to reach the Kaprekar constant?    (2 marks) 

Ans: The number 6174 is the Kaprekar constant, and it takes a maximum of 7 iterations for any 4-digit number (excluding repdigits) to reach 6174 following Kaprekar’s routine.

Q19:  Do you see any Line of symmetry in the figures given below? (2 marks) 

Ans: Both figures have one line of symmetry

Q20:  Enter the correct symbol >, =, < in the following :   (2 marks) 
(i) (–7) _________  (2)
(ii) 7 _________  (–12)
(iii) 0 _________  (–2)
(iv) (–16) _________  (9 + 7)

Ans: (i) <
(ii) >
(iii) >
(iv) <

Q21:  Write 'True' or 'False' for the following : (2 marks) 
(i) –20° C represent temperature "above 20°C"
(ii) 8 > (–10)
(iii) (– 2 ) = 2
(iv) (– 4 – 2 )  > (–5) 

Ans.
(i) False
(ii) True
(iii) False 
(iv) False

​Q22:  In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.  (2 marks)

Ans: 

Q23:  A piece of string is 60 cm long. What will be the length of each side if the string is used to form :  (3 marks) 
(a) a square
(b) an equilateral triangle
(c) a regular pentagon

Ans:
(a) Length of wire=60cm

Since,the wire is used to form a square, the length of wire becomes perimeter of the square.

Perimeter=60 cm
4 × side = 60 cm
60/4 = 15
Side =15 cm

(b) Given

length of string=60cm

If the string is used to form an equilateral triangle then the perimeter of the triangle = length of the string

Let the side of the triangle be a

a + a+ a      = 60
3a   =60
3a = 60
a = 20cm

(c) Given, regular pentagon(all sides equal)

perimeter= 5 × side = 60 cm

side = 12 cm.

​Q24: The pictograph shows how many snowballs each child made. Use the pictograph to answer the given questions.   (3 marks) 

(i) How many snowballs did Alfredo make?

(ii) How many snowballs did Aaron make?

(iii) Name two people who made the same number of snowballs.

Ans: (i) There are 3 pictures in front of Alfredo. 1 snowflake represents 4 snowballs made.
So, Alfredo made 3x4 = 12 snowballs.

(ii)  There are 2 pictures in front of Aaron. 1 snowflake represents 4 snowballs made.
So, Aaron made 2x4 = 8 snowballs. 

(iii)  Anna and Bailey made the same number of snowballs.
We can simply look at the number of snowflakes in front of each name and see that Anna and Bailey have same number of snowflakes drawn in front of their names.
There are 7 snowflakes which means 7x4 = 28. So, Anna and Bailey, both of them, made 28 snowballs each.

Q25: Find the perimeter of the shape given: (3 marks) 

Ans: There are some missing lengths we need to work out first. We can look at the vertical lengths. The missing vertical lengths are 6 cm and 13 cm.We can then look at the missing horizontal length. The missing side is 16 cm because 7+5+4=16.

Starting in the top left corner and going clockwise around the shape, we can add the sides together.

Q26: (a) Perform the operation 3 + (-4) using a number line. 

(b) Perform the operation 5 - 3 using a number line. (3 marks) 

Ans:

(a) 

(b) 

Q27: A rectangular classroom has an area of 300 sq. m and a length of 25 m. What is the width of the classroom?  (3 marks)  

Ans:  Given, area of the classroom = 300 sq. m
Length = 25 m
Area of a rectangle = length × width
⇒ 300 = 25 × width
⇒ width = 12 m

Q28: Can you find the pattern and fill in the missing numbers? Justify your answer. (3 marks)

Ans: Observing the sequence:

• 16 → 20 (+4)
• 20 → 24 (+4)
• 24 → 28 (+4)

continue the pattern:

• 28 + 4 = 32
• 32 + 4 = 36
• 36 + 4 = 40

Q29: A rectangular garden is 120 m long and 80 m wide. If the cost of fencing is ₹10 per meter, what is the total cost to fence the garden?    (3 marks) 

Ans:  Perimeter of a rectangle = 2 × (length + width)
= 2 × (120 + 80)
= 2 × 200
= 400 m

Total cost = 400 × 10
= ₹4,000

Q30: Suppose you start with ₹0 in your bank account, and then you have credits of ₹20, ₹35, and ₹45, and debits of ₹25, ₹40, and ₹50. What is your bank account balance now? (3 marks)  

Ans: Here, Credits = ₹20 + ₹35 + ₹45 = ₹100
And Debits = ₹25 + ₹40 + ₹50 = ₹115

∴ Balance = Credits – Debits
= ₹100 – ₹115
= – ₹15

Therefore, your bank account balance is – ₹15.

Q31: An elevator in a shopping mall starts from the ground floor (0).    (5 marks)  

1. It goes up 9 floors. What floor is it on now?
2. Then, it moves down 5 floors. Where is it now?
3. After that, it goes up 6 more floors. What floor does it reach?
4. Finally, it moves down 10 floors. Where is the elevator now?  

Ans: 

1. After going up 9 floors:

   0+9=9

   The elevator is on the 9th floor.

2. After going down 5 floors:

   9−5=4

   The elevator is on the 4th floor.

3. After going up 6 more floors:

   4+6=10

   The elevator is on the 10th floor.

4. After going down 10 floors:

   10−10=0

   The elevator is back at the ground floor (0).

Q32: Read and Answer the Pictograph Questions  (5 marks)  

(i) Who harvested the most?
(ii) How many pumpkins did Jacob harvest?
(iii) Who harvested 200 pumpkins?
(iv) Name the farmers who have harvested the same number of pumpkins?
(v) How many pumpkins did Danny harvest?

Ans: 
(i) Edwin
(ii) 125 pumpkins
(iii) Danny and Alex
(iv) Danny and Alex
(v) 200 pumpkins