During exam preparation, 6th Standard Maths Question Paper with Answers Kerala Syllabus Set 4 guide students properly.
Kerala Syllabus 6th Standard Maths Question Paper Set 4
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) Using a ruler and compass, draw a line of 8 cm length, and then draw an another line parallel to it. (2)
Answer:
(b) From the figure given below, identify the two pairs of angles having equal measures. (2)
Answer:
1, 3 and 2, 4
(c) In the figure the measure of one angle is 70°. (1)
From the values given below, what is the measure of the other angle?
(a) 70°
(b) 180°
(c) 180° + 70°
(d) 180° – 70°
Answer:
(c) 180° + 70°
Question 2.
(a) What part of the rectangle is shaded in the figure given below (1)
Answer:
\(\frac{1}{10}\)
(b) What part of the rectangle is unshaded? (1)
Answer:
\(\frac{9}{10}\)
(c) If the three boxes are shaded, what part of the rectangle is shaded and what part is unshaded? (1)
Answer:
Shaded part = \(\frac{3}{10}\) and unshaded part = \(\frac{7}{10}\)
(d) What is the relation between the shaded and the unshaded part? (1)
Answer:
The sum of the shaded part and the unshaded part give 1.
(e) Flow can we express this relation if the shaded part is marked as ‘s’ and the unshaded part as ‘u’. (1)
Answer:
If the shaded part is s
Unshaded part is u
Then, s + u = 1
Question 3.
(A) (a) From the numbers given below which number is divisible by 9. (1)
(a) 1327
(b) 3436
(c) 5323
(d) 9459
Answer:
(d) 9459
(b) What is the remainder when 58425 is divided by 3? (1)
Answer:
Remainder = 0
Since the sum of the digits is: 5 + 8 + 4 + 2 + 5 = 24 24 is divisible by 3.
(c) What is the remainder when 15437 is divided by 9? (1)
Answer:
Remainder = 2
Since the sum of the digits is: 1 + 5 + 4 + 3 + 7 = 20 20 is not divisible by 9.
(d) If we write a four digit number using the digits 3, 4, 7, 8. Then how many of these numbers will be a multiple of 3? Give reason? (2)
Answer:
No numbers will be a multiple of 3.
Since the sum of the digits: 3 + 4 + 7 + 8 = 22 22 is not divisible by 3.
OR
(B) (a) Write the number equivalent to \(\frac{2}{7}\) with the numerator equal to 14. (1)
Answer:
\(\frac{14}{49}\)
(b) Write the simplified form of \(\frac{30}{66}\). (1)
Answer:
\(\frac{5}{11}\)
(c) In a bottle contains 3 – litres of coconut oil and another bottle contains 4- litres of coconut oil. Find how many litres of coconut oil are there in total. (2)
Answer:
Coconut oil contained in first bottle = 3 \(\frac{1}{2}\) litres
Coconut oil contained in second bottle = 4 \(\frac{3}{4}\) litres
Total quantity of coconut oil = 3 – + 4 – = 8- litres
(d) Which of the following value is equivalent to \(\frac{9}{6}\) (1)
Answer:
1\(\frac{1}{2}\)
Question 4. (A)
(a) The length, width and height of a rectangular block are 4 metre, 3 metre and 1 metre respectively. What is its volume? (2)
Answer:
Volume of a rectangular block = 4 × 3 × 1 = 12 cubic metre
(b) Which one of the following is equivalent to 1 litre? (1)
Answer:
(a) 1000 cubic centimetre
(c) The length, width and height of a glass jar are 20 cm. 15 cm and 8 cm. Find the quantity of water it can contain (2)
Answer:
Volume of the jar = 20 × 15 × 8 = 2400 cubic metre
= 2 litres 400 millilitres
OR
(B)
(a) Draw the figure given below using the same measurements. (2)
Answer:
(b) What part of circle is shaded in the figure?
Answer:
\(\frac{1}{8}\) part is shaded
(c) From the following, identify the angle which is less than 90°?
Answer:
(c) (b)
Question 5.
(a) Write the fractional form of 3.07? (1)
Answer:
3.07 = 3\(\frac{7}{100}\) (or \(\frac{307}{100}\))
(b) Look at the statements given below?
(i) 5.45 means 5 ones and 45 hundredths.
(ii) 5.45 means 545 tenths.
(iii) 5.45 means 5 ones 4 hundredths and 5 tenths
(iv) 5.45 means 5 ones 4 tenths and 5 hundredths
Choose the correct option. (1)
(A) (i) and (ii)
(B) (ii) and (iv)
(C) (i) and (iv)
(D) (iii) and (iv)
Answer:
(C) (i) and (iv)
(c) Rema bought a ribbon of length 15.45 metre and Suma bought a ribbon of length 12.05 metre.
(i) What is the total length of the ribbon they bought? (1)
(ii) What is the difference between the lengths of the ribbon they bought? (1)
Answer:
(i) Total length of the ribbon they bought = 15.45 + 12.05 = 27.50 metre
(ii) Difference between the lengths of the ribbon = 15.45 – 12.05 = 3.40 metre
(d) Write 14\(\frac{2}{1000}\) in decimal form. (1)
Answer:
14\(\frac{2}{1000}\) = 14.002
Question 6.
The graph represents the temperature recorded at a place during various months of the same year:
(a) In which month was the highest temperature recorded? (1)
Answer:
May
(b) In which month was the lowest temperature recorded? (1)
Answer:
December
(c) From which month onwards does the temperature starts decreasing? (1)
Answer:
From May onwards
(d) On the basis of the graph, prepare 2 questions. (2)
Answer:
(i) What is the temperature in the month of June?
(ii) During which month does the temperature become the same as in July?