During exam preparation, 6th Standard Maths Question Paper with Answers Kerala Syllabus Set 3 guide students properly.
Kerala Syllabus 6th Standard Maths Question Paper Set 3
Time: 2 Hrs 15 min.
Instructions:
- First 15 minutes is allotted as cool-off time. Red the questions carefully and plan the answers during this time
- Answer all six questions. Answer all the sub questions.
- Two questions are there in Question 3 and 4. Attempt any one of them (3 A or 3 B and 4 A or 4 B)
Question 1.
(a) Write two fraction equivalent to \(\frac{3}{5}\). (2)
Answer:
\(\frac{3}{5}=\frac{6}{10}\) and \(\frac{3}{5}=\frac{9}{15}\)
(b) Write the simplified form of \(\frac{16}{20}\). (1)
Answer:
\(\frac{16}{20}=\frac{4}{5}\)
(c) 15 litres of milk is equally filled into 6 identical bottles. What is the quantity of milk contained in one bottle. (1)
Answer:
\(\frac{15}{6}\) = 2\(\frac{1}{2}\) litres
(d) Write the equivalent value of-from the following options: (1)
(a) 1\(\frac{3}{4}\)
(b) 1\(\frac{4}{3}\)
(c) 1\(\frac{1}{3}\)
(d) 1\(\frac{1}{4}\)
Answer:
(c) 1\(\frac{1}{3}\)
Question 2.
(a) If the length, width and height of a rectangular block are 40 centimetre, 20 centimetre and 10 centimetre respectively. Find its volume? (2)
Answer:
Volume = 40 × 20 × 10 = 8000 cubic centimetre
(b) How many litres of water can a rectangular shaped vessel can contain with the same capacity mentioned above. (2)
Answer:
8000 cu. cm = \(\frac{8000}{1000}\) = 8 litres
(c) Look at the statements given below: (1)
(i) If the length of a rectangular block is doubled, then its volume is also doubled.
(ii) If the length, width and height is doubled, then its volume becomes three times.
(iii) If the width of a rectangular block is doubled, then its volume becomes four times.
(iv) If the length, width and height is doubled, then its volume becomes eight times.
Choose the correct option.
(A) (i) and (ii)
(B) (ii) and (iii)
(C) (iii) and (iv)
(D) (i) and (iv)
Answer:
(D) (i) and (iv)
Question 3.
(A) The graph below shows the sale of cars in a company from 2017 to 2024
(a) In which year was the maximum number of cars sold? (1)
Answer:
2024
(b) During which years was the same number of cars sold? (1)
Answer:
2017, 2020 and 2021
(c) What is the difference between the number of cars sold in 2018 and 2019 (1)
Answer:
2 lakh
(d) On the basis of the graph, prepare two questions. (2)
Answer:
(i) What is the growth in sales from 2017 to 2024?
(ii) In which year did the sales of the car reach 37 lakh?
OR
(B) Look at the picture made using matchsticks.
(a) How many matchsticks are used to make any one of these patterns? (1)
Answer:
6
(b) To make two such patems, how many matchsticks are used? (1)
Answer:
11
(c) What is the relation between the number of matchsticks and the number of patterns? (1)
Answer:
The number of matchsticks is equal to one more than the 5 times of the number of patterns.
(d) Write the relation if the number of patterns is represented by h and the number of matchsticks by s. (2)
Answer:
s = 5h + 1
Question 4.
(A) (a) Write 137 as a multiple of 9 and the sum of its digits. (2)
Answer:
137 = 126 + 11 = (14 × 9) + 11
(b) If all four-digit numbers using 3, 5, 9 and 4 are written, how many of them are multiples of 3? (1)
Answer:
Digits used: 3, 5, 9 and 4 Sum = 3 + 5 + 9 + 4 = 21
Since 21 is divisible by 3, all possible arrangements will be divisible by 3.
Number of four digit numbers formed = 24
(c) How many of them are multiples of 9? (1)
Answer:
Since 21 is not divisible by 9, there are no numbers formed that are multiples of 9.
(d) From the numbers given below, which one is divisible by both 3 and 9? (1)
(a) 365
(b) 747
(c) 327
(d) 489
Answer:
(b) 747
OR
(B) (a) Draw the parallelogram using the same measurements. (4)
Answer:
(b) Which of the following statements are correct about the parallelogram given below? (1)
(A) Four sides are equal.
(B) Four angles are equal.
(C) Opposite sides are parallel.
(D) All angles are less than 90°.
Answer:
(C) Opposite sides are parallel.
Question 5.
(a) Instead of dividing 196 by 4, which number can be used to divide 98? (1)
Answer:
196 ÷ 4 = 49
98 – 2 = 49
The number is 2.
(b) Which one of the following is equivalent to 400 – 247? (1)
(a) 401 – 246
(b) 401 – 248
(c) 399 – 248
(d) 402 – 245
Answer:
(b) 401 – 248
(c) Write two equivalent multiples of 28 × 14. (2)
Answer:
28 × 14 = 56 × 7
28 × 14 = 14 × 28
(d) Write any division that is equivalent to 128 ÷ 8. (1)
Answer:
128 ÷ 8 = 16
64 ÷ 4 = 16
256 ÷ 16 = 16
Question 6.
(a) A shop offers a 12% discount. If some items are brought for Rs.3000, what is the discount amount? (3)
Answer:
Discount = 12% of 3000
= \(\frac{12}{100}\) × 3000 = Rs. 360
(b) Which of the statements given below is equivalent to, 10% interest? (1)
(A) For Rs. 1000, the interest is Rs.200
(B) For Rs.500, the interest is Rs.100
(C) For Rs.800, the interest is Rs.80
(D) For Rs.10, the interest is Rs.2
Answer:
(C) For Rs.800, the interest is Rs.80
(c) For Rs.2000 its interest amount is Rs. 160. What is the interest percent? (1)
Answer:
Interest percent = \(\frac{160}{200}\) × 100 = 8%