During exam preparation, 6th Standard Maths Question Paper with Answers Kerala Syllabus Set 5 guide students properly.
Kerala Syllabus 6th Standard Maths Question Paper Set 5
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) From the figure, find the measure of the angle marked x. (1)
Answer:
x = 70°
(b) What is the measure of the angle when two lines intersect each other perpendicularly? (1)
Answer:
The measure of the angle is 90°.
(c) Draw the lines in the given figure and draw a line parallel to the slanted line. (2)
Answer:
(d) From the given figure, identify the angles whose sum is 180°.
(a) a, b
(b) a, c
(c) b, d
(d) a, b, c
Answer:
(a) a, b
Question 2.
The scores of a team in a cricket match are given in the graph. It represents the runs scored in each over and the wickets lost by the team.
Find the answers to the questions given below:
(a) Between which over did the team lose its first wicket. (1)
Answer:
5-10
(b) What is the total number of wickets lost in the match? (1)
Answer:
5
(c) In which over does the match ends. (1)
Answer:
45
(d) Based on the graph, prepare any two questions. (2)
Answer:
(i) Within 30 overs, how many wickets did the team lose?
(ii) Between which over does the team scores 150 runs.
Question 3.
(A) (a) Write any two multiplication patterns that are equal to 210 × 120 (2)
Answer:
105 × 240; 420 × 60
(b) Write any two division patterns that are equal to 165 ÷ 15 (2)
Answer:
330 ÷ 30; 55 ÷ 5
(c) Look at the statements given below related to 165 – 10 – 5
(i) It is equal to 165 – 5
(ii) It is equal to 160 – 10
(iii) It is 165 – (10 + 5)
(iv) It is 165 – (10 – 5)
From the above given statements, which of the following are correct. (1)
(A) (i) and (ii)
(B) (ii) and (iii)
(C) (ii) and (iv)
(D) (i) and (iii)
Answer:
(B) (ii) and (iii)
OR
(B) (a) Write 165 as a product of prime numbers.
Answer:
165 = 5 × 3 × 11
(b) Write all the factors of 165.
Answer:
1, 3, 5, 11, 15, 33, 55, 165.
(c) Find the wrong statement about prime numbers.
(i) It has only two factors.
(ii) One of its factor is 1.
(iii) It is a one-digit number.
(iv) The number itself is a factor of it.
Answer:
(iii) It is a one-digit number.
Question 4.
(A) In a shop, we have to pay 30 rupees as a packing charge for one item.
(a) What is the total amount payed for an item costing 100 rupees? (1)
Answer:
100 + 30 = 130 Rs.
(b) What is the total amount payed if the cost of the item is 500 rupees? (1)
Answer:
500 + 30 = 530 Rs.
(c) What is the relation between the cost of the item and total amount paid? (1)
Answer:
The total amount paid is equal to the sum of its cost and the packing charge.
(d) How can we say the relation when the cost of an item is ‘p’ and the total amount is ‘t’. (2)
Answer:
If the cost of the item is p
Total amount is t
Relation is, t = p + 30
OR
(B) (a) A statement and the reason are given below:
Statement: \(\frac{3}{5}\) can be written as \(\frac{8}{10}\) when its denominator becomes 10.
Reason: For a fraction, if a same number is added to both its numerator and denominator, we get another equivalent form of it.
Choose the correct option given below. (1)
(A) Both the statement and reason are correct.
(B) Both the statement and reason are wrong.
(C) Statement is correct but the reason is wrong.
(D) Statement is wrong but the reason is correct.
Answer:
(B) Both the statement and reason are wrong.
(b) Write two different forms of \(\frac{5}{2}\). (2)
Answer:
\(\frac{5}{7}=\frac{10}{14}, \frac{15}{21}\)
(c) If 16 kg of rice is filled equally in to 5 bags, how many kilograms of rice does each bag contain? (2)
Answer:
\(\frac{16}{5}\) = 3\(\frac{1}{5}\) kg
Question 5.
(a) 1000 cubic centimetre is equals to, (1)
(a) 10 litre
(b) 100 litre
(c) 1000 litre
(d) 1 litre
Answer:
(d) 1 litre
(b) If the length, breadth and height of a vessel are 60 cm, 30 cm, and 10 cm respectively, how many litres of water does it holds? (2)
Answer:
18000 cubic cm
(c) Find its capacity in litres and millilitres. (1)
Answer:
18 litre
(d) If the length of a rectangular vessel is doubled then what is the change in its inner measure. (1)
Answer:
If the length is doubled, the inner measure (volume) of the vessel gets doubled
Question 6.
(a) The sum of the digits in a number is 22. If the number is divided by 3, what is its remainder? (1)
Answer:
Remainder = 1
(b) If a number is divided by 9 and the sum of its digits is 32, what is its remainder? (1)
Answer:
Remainder = 5
(c) From the following which number is divisible by 2, 3, 5 and 9 without leaving a remainder? (1)
(a) 3248
(b) 3350
(c) 4826
(d) 5490
Answer:
(d) 5490
(d) Check weather all the numbers formed by using the digits 4, 5, 7, 6 without repetition are multiples of 9. Give reason? . (2)
Answer:
No, the numbers formed are not multiples of 9, because the sum of the digits 4 + 5 + 7 + 6 = 22 not divisible by 9.