SAMPLE QUESTIONS
SUMMATIVE ASSESSMENT–II
2014–2015
CLASS–X
Mathematics
VSA: 1 MARKS
1. If the common difference of an AP is 3, then what is a15 - a9 ?
2. If the ratio between the length of the shadow of a tower and its height is 3 :1 ,
then what is the angle of elevation of Sun?
3. The circumference of the base of a cone is 44 cm and the slant height is 25 cm. Find
the curved surface area of the cone.
4. Find the area of a triangle whose vertices are (3, 0), (7, 0) and (8, 4).
SA–I: 2 MARKS
1. Find the roots of the quadratic equation 3x2 2 6 x 2 0 .
2. Find the 4th term from the end of the AP -11, -8, -5, .........., 49.
3. In fig. 1, if length of AB is 9 cm, then, find the length of CP.
1
, 4. Find the area of a sector of circle of radius 21 cm and central angle 120°.
22
Use
7
5. A game of chance consists of spinning an arrow, which comes
to rest, pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (as
shown in fig. 2). Find the probability that it will point at an
odd numbers.
6. A coin is tossed two times. Find the probability of getting atmost one head.
SA–II: 3 MARKS
1. Solve the following equation for z.
4 5 3
, z 1, 0, 2
z 1 z 2 z
2. Find the sum of the two middle most terms of the AP
4 2 1
, 1, , ........, 4
3 3 3
3. In fig. 3, PQ and PR are tangents to the circle with centre O and S is a point on the
circle such that SQL 50 and SRM 60 . Find QSR .
4. From a balloon vertically above a straight road, the angles of depression of two
cars on the same side at an instant are found to be 45° and 60°. If the cars are 100 m
apart, find the height of the balloon.
2
SUMMATIVE ASSESSMENT–II
2014–2015
CLASS–X
Mathematics
VSA: 1 MARKS
1. If the common difference of an AP is 3, then what is a15 - a9 ?
2. If the ratio between the length of the shadow of a tower and its height is 3 :1 ,
then what is the angle of elevation of Sun?
3. The circumference of the base of a cone is 44 cm and the slant height is 25 cm. Find
the curved surface area of the cone.
4. Find the area of a triangle whose vertices are (3, 0), (7, 0) and (8, 4).
SA–I: 2 MARKS
1. Find the roots of the quadratic equation 3x2 2 6 x 2 0 .
2. Find the 4th term from the end of the AP -11, -8, -5, .........., 49.
3. In fig. 1, if length of AB is 9 cm, then, find the length of CP.
1
, 4. Find the area of a sector of circle of radius 21 cm and central angle 120°.
22
Use
7
5. A game of chance consists of spinning an arrow, which comes
to rest, pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (as
shown in fig. 2). Find the probability that it will point at an
odd numbers.
6. A coin is tossed two times. Find the probability of getting atmost one head.
SA–II: 3 MARKS
1. Solve the following equation for z.
4 5 3
, z 1, 0, 2
z 1 z 2 z
2. Find the sum of the two middle most terms of the AP
4 2 1
, 1, , ........, 4
3 3 3
3. In fig. 3, PQ and PR are tangents to the circle with centre O and S is a point on the
circle such that SQL 50 and SRM 60 . Find QSR .
4. From a balloon vertically above a straight road, the angles of depression of two
cars on the same side at an instant are found to be 45° and 60°. If the cars are 100 m
apart, find the height of the balloon.
2
