ST XAVIERS CMI PUBLIC SCHOOL
BHAVNAGAR
MODEL SAMPLE PAPER P1
Class 10 - Mathematics
Time Allowed: 44 minutes Maximum Marks: 40
1. The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is: [1]
a) 8 b) 5
c) 13 d) 40
2. If two positive integers ‘a’ and ‘b’ are written as a = pq
2
and b = 3
p q
2
, where ‘p’ and ‘q’ are prime numbers, [1]
then LCM(a, b) =
a) pq b) 3
p q
2
c) p2q3 d) p2q2
3. A construction company wants to connect two parks on opposite sides of town with a road. Surveyors have laid [1]
out a map as shown. The road can be built through the town or around town through point R. The roads intersect
at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.
i. What is the distance between the parks through town?
ii. What is the distance from Park A to Park B through point R?
a) (i) 9 m, (ii) 13 m b) (i) 8.75 m, (ii) 12 m
c) (i) 8 m, (ii) 12.5 m d) (i) 9 m, (ii) 14 m
4. In a △ ABC, ∠A = 90
∘
, AB = 5 cm and AC = 12 cm. Also AD ⊥ BC , Then AD = [1]
a) 2√15
cm b) 60
13
cm
13
c) d)
13 13
cm cm
40 2
5. Assertion (A): If ratio of perimeters of two similar triangles is 6 : 11, then ratio of their corresponding medians [1]
is also 6 : 11.
Reason (R): Converse of B.P.T. states that if two sides of a triangle are divided by a line in equal ratio then the
line is parallel to the third side.
a) Both A and R are true and R is the correct b) Both A and R are true but R is not the
explanation of A. correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
1/3
BHAVNAGAR
MODEL SAMPLE PAPER P1
Class 10 - Mathematics
Time Allowed: 44 minutes Maximum Marks: 40
1. The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is: [1]
a) 8 b) 5
c) 13 d) 40
2. If two positive integers ‘a’ and ‘b’ are written as a = pq
2
and b = 3
p q
2
, where ‘p’ and ‘q’ are prime numbers, [1]
then LCM(a, b) =
a) pq b) 3
p q
2
c) p2q3 d) p2q2
3. A construction company wants to connect two parks on opposite sides of town with a road. Surveyors have laid [1]
out a map as shown. The road can be built through the town or around town through point R. The roads intersect
at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.
i. What is the distance between the parks through town?
ii. What is the distance from Park A to Park B through point R?
a) (i) 9 m, (ii) 13 m b) (i) 8.75 m, (ii) 12 m
c) (i) 8 m, (ii) 12.5 m d) (i) 9 m, (ii) 14 m
4. In a △ ABC, ∠A = 90
∘
, AB = 5 cm and AC = 12 cm. Also AD ⊥ BC , Then AD = [1]
a) 2√15
cm b) 60
13
cm
13
c) d)
13 13
cm cm
40 2
5. Assertion (A): If ratio of perimeters of two similar triangles is 6 : 11, then ratio of their corresponding medians [1]
is also 6 : 11.
Reason (R): Converse of B.P.T. states that if two sides of a triangle are divided by a line in equal ratio then the
line is parallel to the third side.
a) Both A and R are true and R is the correct b) Both A and R are true but R is not the
explanation of A. correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
1/3
