Practicing with Class 8 Maths Question Paper Pdf Kerala Syllabus and Annual Exam Question Paper 2021-22 will help students prepare effectively for their upcoming exams.
Class 8 Maths Annual Exam Question Paper 2021-22 Kerala Syllabus
Time : 1½ Hours
Score : 40
Write any 4 questions from 1 to 6. Each question carries 2 scores. (4 × 2 = 8)
Question 1.
Write two pairs of equal angles in the figures given below:
Answer:
∠A = ∠R
∠B = ∠P
Question 2.
(a) What is the sum of angles of a 12 sided polygon?
Answer:
(n – 2) 180 = (12 – 2) 180
= 10 × 180 = 1800°
(b) What is the sum of angles of a polygon with one side more?
Answer:
1800 + 180 = 1980°
Question 3.
4 added to 4 times a number is 40.
(a) What is 4 times the number?
Answer:
40 – 4 = 36
(b) Find the number.
Answer:
number = \(\frac{36}{4}\) = 9
Question 4.
(a) -3 + 2 = ____
(b) 7 – (-3) = ____
Answer:
(a) -3 + 2 = -1
(b) 7 – (-3) = 10
Question 5.
(a) (x + y)² = x² + ____ + y²
(b) 21² = 400 + ____ + 1
Answer:
(a) (x + y)² = x² + 2xy + y²
(b) 21² = 400 + 40 + 1
Question 6.
(a) The ratio of acid and water in a liquid is 3: 2. If the liquid contains 6 litres of water, find the measure of the acid.
Answer:
3 × 3 = 9 litre
(b) How many litres of liquid is there in total?
Answer:
9 + 6 = 15 litre
Answer any 4 Questions from 7 to 12. Each question carries 3 scores. (4 × 3 = 12)
Question 7.
The length of a rectangle is 4 cm more than its breadth. Perimeter of the rectangle is 32 centimetres.
(a) If the breadth is x, then what is length?
Answer:
length + breadth = \(\frac{32}{2}\) = 16 cm
If breadth = x
length = x + 4
(b) Find the length and breadth of the rectangle?
Answer:
x + x + 4 = 16
2x + 4 = 16
2x= 16 – 4= 12
x = \(\frac{12}{2}\) = 6 cm
Breadth = 6 cm
Length = 6 + 4 = 10cm
Question 8.
Draw a circle of radius 3.25 centimetres.
Answer:
Draw a line of length 6.5 cm then draw its perpendicular bisector then taking the length 3.25 an as radius, draw the circle.
Question 9.
The angles of a triangle are in the ratio 2:3:5. How much is each angle?
Answer:
180 × \(\frac{2}{10}\) = 36°
180 × \(\frac{3}{10}\) = 54°
180 × \(\frac{5}{10}\) = 90°
Question 10.
The figure shown below is draw using 2 equal rhombuses. Draw the figure as per the given measures.
Answer:
Draw AB 4 cm first as in the fig. then take 60° at B and 120° at A, on each side of AB there complete the fig:
Question 11.
(a) 3 × (-2) = ____
(b) (-4) × (-5) = ____
(c) (-6) ÷ (-3) = ____
Answer:
(a) 3 × -2 = -6
(b) -4 × (-5) = 20
(c) -6 ÷ -3 = 2
Question 12.
(a) x² – y² = (x + y) (____)
(b) 64² – 36² = 100 × ____
(c) 101² – 100² = ____
Answer:
(a) x² – y² = (x + y) (x – y)
(b) 64² – 36² = 100 × 28
(c) 101² – 100² = (101 + 100) (101 – 100)
= 201 × 1
= 201
Answer any 4 questions from 13 to 18. Each question carries 4 scores. (4 × 4 = 16)
Question 13.
Draw the quadrilateral with the given measures as shown below.
Answer:
Draw AB = 7 cm then take 70° at A then mark AD = 6 cm DC = 5 cm, BC = 4 cm then complete ABCD 14. After 2 years
Question 14.
Shaji deposited 20000 rupess in a bank which pays 5% interest compounded annually. After 2 years he withdrew 10000 rupees. How much amount would be in his account at the end of third year?
Answer:
After 2 years
= 22050
He withdrew 10000 rupees after 2 years.
So 22050 – 10000 = 12050
after 3 years
So final amount will be = 12050 + 602.5
= 12652.5
Question 15.
A regular pentagon and a regular hexagon are joined as shown in the figure.
(a) What is the area of the rectangle?
Answer:
108°
(b) Find the area of the rhombus.
Answer:
120°
(c) Find the measure of ∠ABC
Answer:
∴ ∠ABC = 360 – (108 + 120)
= 360 – 228
= 132°
Question 16.
The scores of 30 students in a test are given below.
21, 32, 5, 11, 35, 25, 33, 13, 26, 23
39, 44, 25, 37, 20, 7, 12, 33, 40, 9
42, 46, 16, 28, 27, 47, 37, 18, 49, 26
(a) Prepare a frequency table as shown below.
| Score | Tally | Number of Students |
| 0-10 | ||
| 10-20 ………. ………. ………. |
||
| Total | ||
Answer:
(b) How many students scored more than 30?
Answer:
13
Question 17.
In the given figure a rhombus is formed by joining the midpoints of the sides of the rectangle. AB = 6 centimetres, BC = 4 centimetres.
(a) What is the measure of an angle of regular pentagon?
Answer:
6 × 4 = 24 cm²
(b) What is the measure of an angle of regular hexagon?
Answer:
\(\frac{1}{2}\) × 24 = 12 cm²
(c) Find the area of rhombus with diagonals 12 centrimetres and 8 centimetres.
Answer:
\(\frac{1}{2}\) × 12 × 8 = 48 cm²
Question 18.
4xy = (x + y)² – (x – y)²
(a) 4 × x × 1 = (x + 1)² – ____
Answer:
4 × x × 1 = (x + 1)² – (x – 1)²
(b) 20 = 4 x 5 x 1 = ____
Answer:
20 = 4 × 5 × 1 = (5 + 1)² – (5 – 1)²
(c) Write 40 as the difference of two perfect squares.
Answer:
40 = 4 × 10 × 1
= (10 + 1)² – (10 – 1)²
Question 19.
Read the mathematical concept given below and answer any four questions that follow. Each question carries 1 score. (4 × 1 = 4)
1 = 1
1 + 2 = 3
1 + 2 + 3 = 6
…………..
…………..
The numbers which can be expressed as the sum of consecutive natural numbers starting from 1 are known as triangular numbers.
1² = 1
2² = 4
3² = 9
…………..
…………..
The squares of natural numbers are known as square numbers.
That is,
1, 3, 6, 10, ………….. are triangular numbers.
1, 4, 9, ………….. are square numbers.
(a) Which is the fourth triangular number?
Answer:
10
(b) How many first natural numbers are added to get 5th triangular number?
Answer:
5
(c) Which is the 6th square number?
Answer:
36
(d) Find the two digit number which is both triangular and square number.
Answer:
36
(e) What is the difference between the 6th square number and the 6th triangular number?
Answer:
15
(f) Write a square number between 70 and 90.
Answer:
81