Series RTEQ.P. Code 51/0/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 6
Time allowed : 1½ HoursMaximum Marks : 40
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 20 questions. All questions are compulsory.
(ii)This question paper is divided into four sections – A, B, C and D.
(iii)In Section A, Question numbers 1 to 10 carry 1 mark each.
(iv)In Section B, Question numbers 11 to 14 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 15 to 18 are short answer (SA) type questions carrying 03 marks each.
(vi)In Section D, Question numbers 19 to 20 are long answer (LA) type questions carrying 05 marks each.
(vii)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(viii)Use of calculators is not allowed.
SECTION A
This section comprises 10 questions of 1 mark each.
1.1
Find the volume of a cone of base radius 6 cm and height 7 cm. (Use π = 22/7)
2.1
Find the curved surface area of a hemisphere of radius 10.5 cm. (Use π = 22/7)
3.1
Find the slant height of a cone of base radius 8 cm and height 15 cm.
4.1
Find the volume of a sphere of radius 3 cm. (Use π = 3.14)
5.1
Find the total surface area of a cube of edge 9 cm.
6.1
Find the perimeter of a quadrant of a circle of radius 14 cm. (Use π = 22/7)
7.1
Through what angle does the minute hand of a clock turn in 35 minutes?
8.1
Find the area of a circle whose circumference is 44 cm. (Use π = 22/7)
9.1
The minor sector of a circle has angle 130°. What is the angle of the major sector?
10.1
Find the length of the arc of a circle of radius 21 cm that subtends 120° at the centre. (Use π = 22/7)
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
A hemispherical bowl has inner radius 10.5 cm. Find its capacity in cm³. (Use π = 22/7)
12.2
Three cubes, each of edge 3 cm, are joined end to end in a row. Find the total surface area of the resulting cuboid.
13.2
Find the area of a sector of angle 135° in a circle of radius 14 cm. (Use π = 22/7)
14.2
Find the area of a sector of angle 72° in a circle of radius 10 cm. (Use π = 3.14)
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
A cylindrical vessel of radius 3 cm contains some water. 27 spherical marbles, each of radius 0.5 cm, are dropped in and are completely submerged. By how much does the water level rise?
16.3
A tent consists of a cylinder of diameter 14 m and height 4 m surmounted by a cone of slant height 9 m (no floor). Find the cost of the canvas at ₹80 per m². (Use π = 22/7)
17.3
A circle of diameter 28 cm is drawn inside a square of side 28 cm so that it touches all four sides. Find the area of the square outside the circle. (Use π = 22/7)
18.3
A chord of a circle of radius 21 cm subtends a right angle at the centre. Find the area of the minor segment. (Use π = 22/7)
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
A solid is in the form of a cylinder with a hemisphere attached at each end. Its total length is 35 cm and the diameter of the cylinder is 14 cm. Find (i) its total surface area and (ii) its volume. (Use π = 22/7)
20.5
A chord of a circle of radius 18 cm subtends 120° at the centre. Find the areas of the minor segment and the major segment, correct to 2 decimal places. Also find the length of the chord. (Use π = 3.14 and √3 = 1.73)
✦ ✦ ✦