Sample Question Paper Solutions (Set-2) | 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: A rectangle has a length of 12 cm and a width of 5 cm. What is its area? (1 mark)
(a) 30 cm²
(b) 40 cm²
(c) 60 cm²
(d) 70 cm²

Ans:  (c) 

Q2: A submarine is 120 meters below sea level. If it ascends 50 meters, what is its new position?   (1 mark)
(a) -170 m
(b) -70 m
(c) 70 m
(d) 170 m

Ans:  (b)

Q3: Which fraction is the largest? (1 mark) 
(a) 2/5
(b) 3/8
(c) 1/2
(d) 4/9

Ans: (c)

Q4: Which of the following represents the shortest distance between two points?   (1 mark)
(a) A line
(b) A line segment
(c) A ray
(d) A curve

Ans: (b) 

Q5: Which of the following statements is true?  (1 mark)
(a) All prime numbers are odd
(b) 1 is a prime number
(c) Every number greater than 1 can be written as a product of prime numbers
(d) Composite numbers have only two factors

Ans: (c) 

Q6: What is the benefit of reading pictographs and bar graphs accurately?   (1 mark)
(a) It helps to make inferences about the data presented
(b) It makes the graph look more colorful
(c) It avoids using numbers in calculations
(d) It eliminates the need for data collection

Ans: (a) 

Q7: Which instrument is used to measure angles?    (1 mark)
(a) Ruler
(b) Compass
(c) Protractor
(d) Divider

Ans: (c)

Q8: What is the sum of -15 and 9? (1 mark)
(a) -24
(b) -6
(c) 6
(d) 24

Ans: (b) 

Q9: Which of the following is a prime number? (1 mark) 
(a) 12
(b) 15
(c) 17
(d) 18

Ans: (c)

Q10: Reduce 12/18 to its lowest terms. (1 mark)
(a) 3/5
(b) 2/3
(c) 4/9
(d) 6/9

Ans: (b)

Q11: Which number should come next?   (1 mark)
5, 10, 20, 40, __?
(a) 50
(b) 60
(c) 80
(d) 100

Ans: (c)

Q12: The center of rotation is the point around which a shape is rotated. Which shape always has its center of rotation at the center of the shape?   (1 mark) 
(a) Rectangle
(b) Equilateral triangle
(c) Square
(d) All of the above

Ans: (d)

Q13: Read and Answer the Pictograph Questions  (2 marks) 

(i) Who picked the most apples? ________________
(ii) Which two children picked the same amount? ________________
(iii) Who picked the least amount of apples? ________________
(iv) How many more apples did Hannah pick than Andrew? ________________

Ans: 
(i) Mary 
(ii) Hannah and Peter 
(iii) Andrew 
(iv) Apples picked by Hannah = 5 apples 
Apples picked by Andrew = 3 apples 
Difference = 5-3 = 2 apples 

Q14:  Do you see any Line of symmetry in the figures given below?  (2 marks) 

Ans: Both have one line of symmetry

Q15: By imagining a large version of your picture, or drawing it partially, can you see what the value will be for 1 + 2 + 3 + ... + 99 + 100 + 99 + ... + 3 + 2 + 1? (2 marks)

Ans: This question needs to be answered by students themselves. Here's an explanation for better understanding:
When counting up to 100 and then back down, the total sum will form a cube number. 

Q16: A rectangle has a length of 12 m and a width of 8 m. Find its perimeter.   (2 marks) 

Ans: Perimeter of a rectangle = 2 × (length + width)
= 2 × (12 + 8)
= 2 × 20
= 40 m

Q17: Below is a sequence of matchstick patterns. Observe the pattern carefully and continue it forward. also, give number pattern for the same : (2 marks)

Ans:
It follows a pattern where each number increases by 4. 
Next term: 17 + 4 = 21 
Next term: 21 + 4 = 25
Thus, the complete sequence is: 5, 9, 13, 17.

Q18: A diver is swimming 5 meters below sea level. He then dives 3 meters deeper. What is his new depth?   (2 marks) 

Ans:  Starting depth: -5 meters
Diving deeper by 3 meters:

$-5-3=-8-5\; -\; 3\; =\; -8$−5−3=−8

The diver is now at -8 meters (8 meters below sea level).

Q19:  Identify the type of angle formed between the hands of each clock: (2 marks)  

Ans: 1. Acute Angle

2. Right Angle

3. Obtuse Angle

4. Obtuse Angle

Q20: Number of right angles turned by the hour hand of a clock when it goes from 3 to 6. (2 marks)  

Ans: When the hour hand of a clock goes from 3 to 6, it turns through one right angle.

​Q21:  Write the fraction representing the shaded portion.  (2 marks)  

(i)

(ii)

Ans. 

(i) Total number of boxes = 12 
Total number to shaded portion = 7

Therefore, fraction representing the shaded portion = 712 

(ii) Total parts = 4
Total number to shaded parts = 3

Therefore, fraction representing the shaded portion = 34

Q22: Explain why 343 is a palindrome. (2 marks)  

Ans: This question is worth 2 marks because it requires a brief explanation: "343 is a palindrome because it reads the same forward and backward—starting with 3, then 4, and ending with 3.

Q23: Which of the following pairs of numbers are co-prime?  (3 marks) 
(a) 21 and 44

Ans: Factors of 21 = 1 × 3 × 7
Factors of 44 = 1 × 2 × 2 × 11
No common factor other than 1.
Hence, 21 and 44 are co-prime numbers.

(b) 25 and 49

Ans: Factors of 25 = 1 × 5 × 5
Factors of 49 = 1 × 7 × 7
No common factor other than 1.
Hence, 25 and 49 are co-prime numbers.

(c) 36 and 90

Ans: Factors of 36 = 1 × 2 × 2 × 3 × 3
Factors of 90 = 1 × 2 × 3 × 3 × 5
Common factors: 1, 2, 3, 3
Since they share common factors greater than 1, 36 and 90 are not co-prime numbers.

Q24: Complete the number pattern shown in the stars and justify your answer. (3 marks) 

Ans: The given sequence is:
5, 15, 25, 35, __, __, __.

Each number increases by 10:

• $\mathrm{<strong><br></strong>}$+10=155 + 10 = 155+10=15
• 15+10=25
• $25\; +\; 10\; =\; 35$25+10=35
• $35\; +\; 10\; =\; 45$35+10=45
• 45+10=55
• 55+10=65

Q25: Find the area of the shape below: (3 marks) 

Ans: Split the shape into 3 rectangles. 

Area of A:

Area (A)= length × width  = 5×12 = 60m²

^​Area of B:

The entire width of the shape is 13m$13m$13m. If we subtract 5m$5m$5m and 5m$5m$5m (the width of rectangles A$A$A and C$C$C). we get width = 13-5-5 = 3m 
13−5−5=3m$13-5-5=\mathrm{3<span><span>13</span><span>-</span></span><span><span>5</span><span>-</span></span><span><span>5</span><span>=</span></span><span><span>3</span></span>}$Area (B)= length × width  = 7×3 = 21m²

​Area of C:

Area (C)= length × width  = 5×12 = 60m²

Total Area =  Area (A)+ Area (B)+ Area (C) = 60+21+60 = 141m²

Q26: A miner is working in a mineshaft. The entrance of the mineshaft is at 0 meters (ground level).    (3 marks) 
(A) He descends 15 meters into the mine. What is his position now?
(B) Then, he climbs up 7 meters. What is his new position?
(C) Later, he descends 10 more meters. Where is he now?

Ans: 

(A) After descending 15 meters:
0−15=−15
The miner is at -15 meters.

(B) After climbing up 7 meters:
−15+7=−8
The miner is at -8 meters.

(C) After descending 10 more meters:
−8−10=−18

The miner is at -18 meters.

Q27: A rectangular billboard is 150 m long and 50 m wide. If a company wants to cover the entire board with an advertisement that costs ₹5 per square meter, what will be the total cost?  (3 marks) 

Ans: Area of the billboard = 150 × 50 = 7,500 sq. m
Cost per square meter = ₹5
Total cost = 7500 × 5
= ₹37,500

Q28: Represent 58 and 38on the number line.   (3 marks) 

Ans. 

Q29: Subtract (–25) from the sum of 15 and 35.  (3 marks) 

Sol: First, find the sum of 15 and 35:

15 + 35 = 50

Now, subtract (–25) from the sum:

50 - (–25) = 50 + 25 = 75

Q30: Which of the following figure has a greater perimeter?  (3 marks) 

Ans:
(i) Perimeter of the square = 4 x side
= 4 x 4 cm = 16 cm
(ii) Perimeter of the rectangle
= 2 [length + breadth]
= 2[8 cm + 3 cm]
= 2 x 11 cm = 22 cm
Since 22 cm > 16 cm
∴ Rectangle has greater perimeter than the square. 

​Q31: The following tally marks table shows data for a card drawn from a well-shuffled deck of cards: (5 marks)  

Answer the following questions:
(i) From which suit are the cards drawn the maximum times?
(ii) From which suit are the cards drawn the minimum times?
(iii) How many total cards were drawn?
(iv) How many more spade cards are drawn than club cards?
(v) Which two suits were drawn same number of times?

Ans: (i) Spades 
(ii) Hearts and diamonds are drawn a minimum number of times 
(iii) Total cards drawn = 30 cards
(iv) The number of spade cards drawn = 11
The number of club cards drawn = 8
Difference = 11 - 8 = 3
3 more spade cards are drawn than club cards.
(v) Hearts and Diamonds both are drawn 5 times each.

Q32: On the number line mark the following numbers : 5, 0, -3, -9 (5 marks)  

Ans: