Class 10 Mathematics (Basic) Term I: CBSE (Official) Sample Question Paper (2021-22) | Mathematics (Maths) Class 10 PDF Download

 Page 1


Sample Question Paper 
Class- X Session- 2021-22 
TERM 1 
Subject- Mathematics (Basic) 
Time Allowed: 90 minutes                                                                                                                      Maximum Marks: 40 
General Instructions: 
1. The question paper contains three parts A, B and C. 
2. Section A consists of 20 questions of 1 mark each. Attempt any 16 questions.  
3. Section B consists of 20 questions of 1 mark each. Attempt any 16 questions. 
4. Section C consists of 10 questions based on two Case Studies. Attempt any 8 questions.  
5. There is no negative marking.  
 
 SECTION A  
 Section A consists of 20 questions. Any 16 questions are to be attempted  
Q.NO.  MARKS 
1 A box contains cards numbered 6 to 50. A card is drawn at random from the box. The 
probability that the drawn card has a number which is a perfect square like 4,9….is  
(a) 1/45 
(b) 2/15 
(c) 4/45 
(d) 1/9 
1 
2 In a circle of diameter 42cm ,if an arc subtends an angle of 60 ° at the centre where 
?=22/7,then the length of the arc is 
(a) 22/7 cm 
(b) 11cm 
(c) 22 cm 
(d) 44 cm 
1 
3 If sinO = x and secO = y , then tanO is 
(a) xy 
(b) x/y 
(c) y/x 
(d) 1/xy 
1 
4 The pair of linear equations y = 0 and y =-5 has 
(a) One solution 
(b) Two solutions 
(c) Infinitely many solutions 
(d) No solution 
1 
5 A fair die is thrown once. The probability of even composite number is 
(a) 0 
(b) 1/3 
(c) 3/4 
(d) 1 
1 
6 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of 
each chair will be 
(a) Rs. 750 
(b) Rs.600 
(c) Rs. 850 
(d) Rs. 900 
1 
7 If cosO+cos
2
O =1,the value of sin
2
O+sin
4
O is 
(a) -1 
(b) 0 
(c) 1 
(d) 2 
 
1 
Page 2


Sample Question Paper 
Class- X Session- 2021-22 
TERM 1 
Subject- Mathematics (Basic) 
Time Allowed: 90 minutes                                                                                                                      Maximum Marks: 40 
General Instructions: 
1. The question paper contains three parts A, B and C. 
2. Section A consists of 20 questions of 1 mark each. Attempt any 16 questions.  
3. Section B consists of 20 questions of 1 mark each. Attempt any 16 questions. 
4. Section C consists of 10 questions based on two Case Studies. Attempt any 8 questions.  
5. There is no negative marking.  
 
 SECTION A  
 Section A consists of 20 questions. Any 16 questions are to be attempted  
Q.NO.  MARKS 
1 A box contains cards numbered 6 to 50. A card is drawn at random from the box. The 
probability that the drawn card has a number which is a perfect square like 4,9….is  
(a) 1/45 
(b) 2/15 
(c) 4/45 
(d) 1/9 
1 
2 In a circle of diameter 42cm ,if an arc subtends an angle of 60 ° at the centre where 
?=22/7,then the length of the arc is 
(a) 22/7 cm 
(b) 11cm 
(c) 22 cm 
(d) 44 cm 
1 
3 If sinO = x and secO = y , then tanO is 
(a) xy 
(b) x/y 
(c) y/x 
(d) 1/xy 
1 
4 The pair of linear equations y = 0 and y =-5 has 
(a) One solution 
(b) Two solutions 
(c) Infinitely many solutions 
(d) No solution 
1 
5 A fair die is thrown once. The probability of even composite number is 
(a) 0 
(b) 1/3 
(c) 3/4 
(d) 1 
1 
6 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of 
each chair will be 
(a) Rs. 750 
(b) Rs.600 
(c) Rs. 850 
(d) Rs. 900 
1 
7 If cosO+cos
2
O =1,the value of sin
2
O+sin
4
O is 
(a) -1 
(b) 0 
(c) 1 
(d) 2 
 
1 
8 
The decimal representation of 
23
2
3  
× 5
2
 will be  
(a) Terminating 
(b) Non-terminating 
(c) Non-terminating and repeating 
(d) Non-terminating and non-repeating 
1 
9 The LCM of 2
3
X3
2
 and 2
2
X3
3 
is 
(a) 2
3
 
(b) 3
3
 
(c) 2
3
X3
3
 
(d) 2
2
X3
2
 
1 
10 The HCF of two numbers is 18 and their product is 12960. Their LCM will be 
(a) 420 
(b) 600 
(c) 720 
(d) 800 
1 
11 In the given figure, DE II BC. Which of the following is true? 
 
 
(a) ?? = 
?? +?? ????
 
(b) ?? =
????
?? +?? 
(c) ?? =
????
?? +?? 
(d) 
?? ?? =
?? ?? 
 
1 
12 The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) 
internally in the ratio 2:1 are 
(a) (2,4) 
(b) (4,6) 
(c) (4,2) 
(d)         (3,5) 
 
1 
13 The prime factorisation of 3825 is 
(a) 3x5
2
x21 
(b) 3
2
x5
2
x35 
(c) 3
2
x5
2
x17 
(d) 3
2
x25x17 
 
1 
14 In the figure given below, AD=4cm,BD=3cm and CB=12 cm, then cotO equals 
 
(a) 3/4 
(b) 5/12 
(c) 4/3 
(d) 12/5  
 
1 
Page 3


Sample Question Paper 
Class- X Session- 2021-22 
TERM 1 
Subject- Mathematics (Basic) 
Time Allowed: 90 minutes                                                                                                                      Maximum Marks: 40 
General Instructions: 
1. The question paper contains three parts A, B and C. 
2. Section A consists of 20 questions of 1 mark each. Attempt any 16 questions.  
3. Section B consists of 20 questions of 1 mark each. Attempt any 16 questions. 
4. Section C consists of 10 questions based on two Case Studies. Attempt any 8 questions.  
5. There is no negative marking.  
 
 SECTION A  
 Section A consists of 20 questions. Any 16 questions are to be attempted  
Q.NO.  MARKS 
1 A box contains cards numbered 6 to 50. A card is drawn at random from the box. The 
probability that the drawn card has a number which is a perfect square like 4,9….is  
(a) 1/45 
(b) 2/15 
(c) 4/45 
(d) 1/9 
1 
2 In a circle of diameter 42cm ,if an arc subtends an angle of 60 ° at the centre where 
?=22/7,then the length of the arc is 
(a) 22/7 cm 
(b) 11cm 
(c) 22 cm 
(d) 44 cm 
1 
3 If sinO = x and secO = y , then tanO is 
(a) xy 
(b) x/y 
(c) y/x 
(d) 1/xy 
1 
4 The pair of linear equations y = 0 and y =-5 has 
(a) One solution 
(b) Two solutions 
(c) Infinitely many solutions 
(d) No solution 
1 
5 A fair die is thrown once. The probability of even composite number is 
(a) 0 
(b) 1/3 
(c) 3/4 
(d) 1 
1 
6 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of 
each chair will be 
(a) Rs. 750 
(b) Rs.600 
(c) Rs. 850 
(d) Rs. 900 
1 
7 If cosO+cos
2
O =1,the value of sin
2
O+sin
4
O is 
(a) -1 
(b) 0 
(c) 1 
(d) 2 
 
1 
8 
The decimal representation of 
23
2
3  
× 5
2
 will be  
(a) Terminating 
(b) Non-terminating 
(c) Non-terminating and repeating 
(d) Non-terminating and non-repeating 
1 
9 The LCM of 2
3
X3
2
 and 2
2
X3
3 
is 
(a) 2
3
 
(b) 3
3
 
(c) 2
3
X3
3
 
(d) 2
2
X3
2
 
1 
10 The HCF of two numbers is 18 and their product is 12960. Their LCM will be 
(a) 420 
(b) 600 
(c) 720 
(d) 800 
1 
11 In the given figure, DE II BC. Which of the following is true? 
 
 
(a) ?? = 
?? +?? ????
 
(b) ?? =
????
?? +?? 
(c) ?? =
????
?? +?? 
(d) 
?? ?? =
?? ?? 
 
1 
12 The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) 
internally in the ratio 2:1 are 
(a) (2,4) 
(b) (4,6) 
(c) (4,2) 
(d)         (3,5) 
 
1 
13 The prime factorisation of 3825 is 
(a) 3x5
2
x21 
(b) 3
2
x5
2
x35 
(c) 3
2
x5
2
x17 
(d) 3
2
x25x17 
 
1 
14 In the figure given below, AD=4cm,BD=3cm and CB=12 cm, then cotO equals 
 
(a) 3/4 
(b) 5/12 
(c) 4/3 
(d) 12/5  
 
1 
15 If ABCD is a rectangle , find the values of x and y 
 
(a) X=10,y=2 
(b) X=12,y=8 
(c) X=2,y=10 
(d) X=20,y=0 
 
1 
16 In an isosceles triangle ABC, if AC=BC and AB
2
=2AC
2
, then the measure of angle C will be 
(a) 30° 
(b) 45° 
(c) 60° 
(d) 90° 
1 
17 If -1 is a zero of the polynomial p(x)=x
2
-7x-8 , then the other zero is 
(a) -8 
(b) -7 
(c) 1 
(d) 8 
1 
18 In a throw of a pair of dice, the probability  of the same number on each die is 
(a) 1/6 
(b) 1/3 
(c) 1/2 
(d) 5/6 
 
1 
19 The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q 
(a) 5 
(b) 6 
(c) 7 
(d) 8 
 
1 
20 
The decimal expansion of 
147
120
 will terminate after how many places of decimals? 
(a) 1 
(b) 2 
(c) 3 
(d) 4 
 
1 
 SECTION B  
 Section B consists of 20 questions of 1 mark each. Any 16 questions are to be attempted  
21 The perimeter of a semicircular protractor whose radius is ‘r’  is 
(a) p + 2r  
(b) p + r 
(c) pr 
(d) pr + 2r 
  
1 
22 If P (E) denotes the probability of an event E, then 
 
(a) 0< P(E) ?1 
(b) 0 < P(E) < 1 
(c) 0 = P(E) =1 
(d) 0 ?P(E) <1 
 
1 
Page 4


Sample Question Paper 
Class- X Session- 2021-22 
TERM 1 
Subject- Mathematics (Basic) 
Time Allowed: 90 minutes                                                                                                                      Maximum Marks: 40 
General Instructions: 
1. The question paper contains three parts A, B and C. 
2. Section A consists of 20 questions of 1 mark each. Attempt any 16 questions.  
3. Section B consists of 20 questions of 1 mark each. Attempt any 16 questions. 
4. Section C consists of 10 questions based on two Case Studies. Attempt any 8 questions.  
5. There is no negative marking.  
 
 SECTION A  
 Section A consists of 20 questions. Any 16 questions are to be attempted  
Q.NO.  MARKS 
1 A box contains cards numbered 6 to 50. A card is drawn at random from the box. The 
probability that the drawn card has a number which is a perfect square like 4,9….is  
(a) 1/45 
(b) 2/15 
(c) 4/45 
(d) 1/9 
1 
2 In a circle of diameter 42cm ,if an arc subtends an angle of 60 ° at the centre where 
?=22/7,then the length of the arc is 
(a) 22/7 cm 
(b) 11cm 
(c) 22 cm 
(d) 44 cm 
1 
3 If sinO = x and secO = y , then tanO is 
(a) xy 
(b) x/y 
(c) y/x 
(d) 1/xy 
1 
4 The pair of linear equations y = 0 and y =-5 has 
(a) One solution 
(b) Two solutions 
(c) Infinitely many solutions 
(d) No solution 
1 
5 A fair die is thrown once. The probability of even composite number is 
(a) 0 
(b) 1/3 
(c) 3/4 
(d) 1 
1 
6 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of 
each chair will be 
(a) Rs. 750 
(b) Rs.600 
(c) Rs. 850 
(d) Rs. 900 
1 
7 If cosO+cos
2
O =1,the value of sin
2
O+sin
4
O is 
(a) -1 
(b) 0 
(c) 1 
(d) 2 
 
1 
8 
The decimal representation of 
23
2
3  
× 5
2
 will be  
(a) Terminating 
(b) Non-terminating 
(c) Non-terminating and repeating 
(d) Non-terminating and non-repeating 
1 
9 The LCM of 2
3
X3
2
 and 2
2
X3
3 
is 
(a) 2
3
 
(b) 3
3
 
(c) 2
3
X3
3
 
(d) 2
2
X3
2
 
1 
10 The HCF of two numbers is 18 and their product is 12960. Their LCM will be 
(a) 420 
(b) 600 
(c) 720 
(d) 800 
1 
11 In the given figure, DE II BC. Which of the following is true? 
 
 
(a) ?? = 
?? +?? ????
 
(b) ?? =
????
?? +?? 
(c) ?? =
????
?? +?? 
(d) 
?? ?? =
?? ?? 
 
1 
12 The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) 
internally in the ratio 2:1 are 
(a) (2,4) 
(b) (4,6) 
(c) (4,2) 
(d)         (3,5) 
 
1 
13 The prime factorisation of 3825 is 
(a) 3x5
2
x21 
(b) 3
2
x5
2
x35 
(c) 3
2
x5
2
x17 
(d) 3
2
x25x17 
 
1 
14 In the figure given below, AD=4cm,BD=3cm and CB=12 cm, then cotO equals 
 
(a) 3/4 
(b) 5/12 
(c) 4/3 
(d) 12/5  
 
1 
15 If ABCD is a rectangle , find the values of x and y 
 
(a) X=10,y=2 
(b) X=12,y=8 
(c) X=2,y=10 
(d) X=20,y=0 
 
1 
16 In an isosceles triangle ABC, if AC=BC and AB
2
=2AC
2
, then the measure of angle C will be 
(a) 30° 
(b) 45° 
(c) 60° 
(d) 90° 
1 
17 If -1 is a zero of the polynomial p(x)=x
2
-7x-8 , then the other zero is 
(a) -8 
(b) -7 
(c) 1 
(d) 8 
1 
18 In a throw of a pair of dice, the probability  of the same number on each die is 
(a) 1/6 
(b) 1/3 
(c) 1/2 
(d) 5/6 
 
1 
19 The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q 
(a) 5 
(b) 6 
(c) 7 
(d) 8 
 
1 
20 
The decimal expansion of 
147
120
 will terminate after how many places of decimals? 
(a) 1 
(b) 2 
(c) 3 
(d) 4 
 
1 
 SECTION B  
 Section B consists of 20 questions of 1 mark each. Any 16 questions are to be attempted  
21 The perimeter of a semicircular protractor whose radius is ‘r’  is 
(a) p + 2r  
(b) p + r 
(c) pr 
(d) pr + 2r 
  
1 
22 If P (E) denotes the probability of an event E, then 
 
(a) 0< P(E) ?1 
(b) 0 < P(E) < 1 
(c) 0 = P(E) =1 
(d) 0 ?P(E) <1 
 
1 
23 In ?ABC, ?B=90° and BD ? AC. If AC = 9cm and AD = 3 cm then BD is equal to 
(a) 2v2 cm 
(b) 3v2 cm 
(c) 2v3 cm 
(d) 3v3 cm 
1 
24 The pair of linear equations 3x+5y=3 and 6x+ky=8 do not have a solution if  
(a) K=5 
(b) K=10 
(c) k?10 
(d) k?5 
1 
25 If the circumference of a circle increases from 2? to 4? then its area _____ the original 
area 
(a) Half 
(b) Double 
(c) Three times 
(d) Four times 
1 
26 Given that sinO=a/b ,then tanO is equal to 
(a) 
?? v?? 2
+?? 2
 
(b) 
?? v?? 2
-?? 2
 
(c) 
?? v?? 2
-?? 2
 
(d) 
?? v?? 2
-?? 2
 
1 
27 If x = 2sin
2
O and y = 2cos
2
O+1 then x+y is 
(a) 3 
(b) 2 
(c) 1 
(d) 1/2 
1 
28 If the difference between the circumference and the radius of a circle is 37cm ,?=22/7, the 
circumference (in cm) of the circle is 
(a) 154 
(b) 44 
(c) 14 
(d) 7 
1 
29 The least number that is divisible by all the numbers from 1 to 10 (both inclusive) 
(a) 100 
(b) 1000 
(c) 2520 
(d) 5040 
1 
30 Three bells ring at intervals of 4, 7 and 14 minutes. All three rang at 6 AM. When will they 
ring together again? 
(a) 6:07 AM 
(b) 6:14 AM 
(c) 6:28 AM 
(d) 6:25 AM 
1 
31 What is the age of father, if the sum of the ages of a father and his son in years is 65 and 
twice the difference of their ages in years is 50? 
(a) 40 years 
(b) 45 years 
(c) 55 years  
(d) 65 years 
1 
32 What is the value of (tanO cosecO)
2
-(sinO secO)
2
 
(a) -1 
(b) 0 
(c) 1 
(d) 2 
1 
Page 5


Sample Question Paper 
Class- X Session- 2021-22 
TERM 1 
Subject- Mathematics (Basic) 
Time Allowed: 90 minutes                                                                                                                      Maximum Marks: 40 
General Instructions: 
1. The question paper contains three parts A, B and C. 
2. Section A consists of 20 questions of 1 mark each. Attempt any 16 questions.  
3. Section B consists of 20 questions of 1 mark each. Attempt any 16 questions. 
4. Section C consists of 10 questions based on two Case Studies. Attempt any 8 questions.  
5. There is no negative marking.  
 
 SECTION A  
 Section A consists of 20 questions. Any 16 questions are to be attempted  
Q.NO.  MARKS 
1 A box contains cards numbered 6 to 50. A card is drawn at random from the box. The 
probability that the drawn card has a number which is a perfect square like 4,9….is  
(a) 1/45 
(b) 2/15 
(c) 4/45 
(d) 1/9 
1 
2 In a circle of diameter 42cm ,if an arc subtends an angle of 60 ° at the centre where 
?=22/7,then the length of the arc is 
(a) 22/7 cm 
(b) 11cm 
(c) 22 cm 
(d) 44 cm 
1 
3 If sinO = x and secO = y , then tanO is 
(a) xy 
(b) x/y 
(c) y/x 
(d) 1/xy 
1 
4 The pair of linear equations y = 0 and y =-5 has 
(a) One solution 
(b) Two solutions 
(c) Infinitely many solutions 
(d) No solution 
1 
5 A fair die is thrown once. The probability of even composite number is 
(a) 0 
(b) 1/3 
(c) 3/4 
(d) 1 
1 
6 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of 
each chair will be 
(a) Rs. 750 
(b) Rs.600 
(c) Rs. 850 
(d) Rs. 900 
1 
7 If cosO+cos
2
O =1,the value of sin
2
O+sin
4
O is 
(a) -1 
(b) 0 
(c) 1 
(d) 2 
 
1 
8 
The decimal representation of 
23
2
3  
× 5
2
 will be  
(a) Terminating 
(b) Non-terminating 
(c) Non-terminating and repeating 
(d) Non-terminating and non-repeating 
1 
9 The LCM of 2
3
X3
2
 and 2
2
X3
3 
is 
(a) 2
3
 
(b) 3
3
 
(c) 2
3
X3
3
 
(d) 2
2
X3
2
 
1 
10 The HCF of two numbers is 18 and their product is 12960. Their LCM will be 
(a) 420 
(b) 600 
(c) 720 
(d) 800 
1 
11 In the given figure, DE II BC. Which of the following is true? 
 
 
(a) ?? = 
?? +?? ????
 
(b) ?? =
????
?? +?? 
(c) ?? =
????
?? +?? 
(d) 
?? ?? =
?? ?? 
 
1 
12 The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) 
internally in the ratio 2:1 are 
(a) (2,4) 
(b) (4,6) 
(c) (4,2) 
(d)         (3,5) 
 
1 
13 The prime factorisation of 3825 is 
(a) 3x5
2
x21 
(b) 3
2
x5
2
x35 
(c) 3
2
x5
2
x17 
(d) 3
2
x25x17 
 
1 
14 In the figure given below, AD=4cm,BD=3cm and CB=12 cm, then cotO equals 
 
(a) 3/4 
(b) 5/12 
(c) 4/3 
(d) 12/5  
 
1 
15 If ABCD is a rectangle , find the values of x and y 
 
(a) X=10,y=2 
(b) X=12,y=8 
(c) X=2,y=10 
(d) X=20,y=0 
 
1 
16 In an isosceles triangle ABC, if AC=BC and AB
2
=2AC
2
, then the measure of angle C will be 
(a) 30° 
(b) 45° 
(c) 60° 
(d) 90° 
1 
17 If -1 is a zero of the polynomial p(x)=x
2
-7x-8 , then the other zero is 
(a) -8 
(b) -7 
(c) 1 
(d) 8 
1 
18 In a throw of a pair of dice, the probability  of the same number on each die is 
(a) 1/6 
(b) 1/3 
(c) 1/2 
(d) 5/6 
 
1 
19 The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q 
(a) 5 
(b) 6 
(c) 7 
(d) 8 
 
1 
20 
The decimal expansion of 
147
120
 will terminate after how many places of decimals? 
(a) 1 
(b) 2 
(c) 3 
(d) 4 
 
1 
 SECTION B  
 Section B consists of 20 questions of 1 mark each. Any 16 questions are to be attempted  
21 The perimeter of a semicircular protractor whose radius is ‘r’  is 
(a) p + 2r  
(b) p + r 
(c) pr 
(d) pr + 2r 
  
1 
22 If P (E) denotes the probability of an event E, then 
 
(a) 0< P(E) ?1 
(b) 0 < P(E) < 1 
(c) 0 = P(E) =1 
(d) 0 ?P(E) <1 
 
1 
23 In ?ABC, ?B=90° and BD ? AC. If AC = 9cm and AD = 3 cm then BD is equal to 
(a) 2v2 cm 
(b) 3v2 cm 
(c) 2v3 cm 
(d) 3v3 cm 
1 
24 The pair of linear equations 3x+5y=3 and 6x+ky=8 do not have a solution if  
(a) K=5 
(b) K=10 
(c) k?10 
(d) k?5 
1 
25 If the circumference of a circle increases from 2? to 4? then its area _____ the original 
area 
(a) Half 
(b) Double 
(c) Three times 
(d) Four times 
1 
26 Given that sinO=a/b ,then tanO is equal to 
(a) 
?? v?? 2
+?? 2
 
(b) 
?? v?? 2
-?? 2
 
(c) 
?? v?? 2
-?? 2
 
(d) 
?? v?? 2
-?? 2
 
1 
27 If x = 2sin
2
O and y = 2cos
2
O+1 then x+y is 
(a) 3 
(b) 2 
(c) 1 
(d) 1/2 
1 
28 If the difference between the circumference and the radius of a circle is 37cm ,?=22/7, the 
circumference (in cm) of the circle is 
(a) 154 
(b) 44 
(c) 14 
(d) 7 
1 
29 The least number that is divisible by all the numbers from 1 to 10 (both inclusive) 
(a) 100 
(b) 1000 
(c) 2520 
(d) 5040 
1 
30 Three bells ring at intervals of 4, 7 and 14 minutes. All three rang at 6 AM. When will they 
ring together again? 
(a) 6:07 AM 
(b) 6:14 AM 
(c) 6:28 AM 
(d) 6:25 AM 
1 
31 What is the age of father, if the sum of the ages of a father and his son in years is 65 and 
twice the difference of their ages in years is 50? 
(a) 40 years 
(b) 45 years 
(c) 55 years  
(d) 65 years 
1 
32 What is the value of (tanO cosecO)
2
-(sinO secO)
2
 
(a) -1 
(b) 0 
(c) 1 
(d) 2 
1 
33 The perimeters of two similar triangles are 26 cm and 39 cm.The ratio of their areas will be  
(a) 2:3 
(b) 6:9 
(c) 4:6 
(d) 4:9 
1 
34 There are 20 vehicles-cars and motorcycles in a parking area. If there are 56 wheels 
together, how many cars are there? 
(a) 8 
(b) 10 
(c) 12 
(d) 20 
1 
35 A man goes 15m due west and then 8m due north. How far is he from the starting point? 
(a) 7m 
(b) 10m 
(c) 17m 
(d) 23m 
1 
36 What is the length of an altitude of an equilateral triangle of side 8cm? 
(a) 2v3 cm 
(b) 3v3 cm 
(c) 4v3 cm 
(d) 5v3 cm 
1 
37 If the letters of the word RAMANUJAN are put in a box and one letter is drawn at random. 
The probability that the letter is A is  
(a) 3/5 
(b) 1/2 
(c) 3/7 
(d) 1/3  
1 
38 Area of a sector of a circle is 1/6 to the area of circle. Find the degree measure of its minor 
arc. 
(a) 90° 
(b) 60° 
(c) 45° 
(d) 30° 
1 
39 A vertical stick 20m long casts a shadow 10m long on the ground. At the same time a tower 
casts a shadow 50m long. What is the height of the tower? 
(a) 30m 
(b) 50m 
(c) 80m 
(d) 100m 
1 
40 What is the solution of the pair of linear equations 37x+43y=123, 43x+37y=117? 
(a) x = 2,y = 1 
(b) x = -1,y = 2 
(c) x = -2,y = 1 
(d) x = 1,y = 2 
1 
 SECTION C  
Case study based questions 
 
 Section C consists of 10 questions of 1 mark each. Any 8 questions are to be attempted.  
 Case Study -1 
Pacific Ring of Fire