Series RTEQ.P. Code 44/-1/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 4
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
What is a mixed fraction? Convert 17/5 into a mixed fraction.
2.1
Simplify 48/72 to its lowest terms.
3.1
Which is greater: 7/9 or 5/7?
4.1
What is 3/4 of 96?
5.1
Divide 5/8 by 15/16.
6.1
What is the angle bisector of an angle?
7.1
How many diameters can be drawn in a circle?
8.1
What is the relation between diameter and radius of a circle?
9.1
Can a triangle be constructed with sides 3 cm, 4 cm and 8 cm? Give reason.
10.1
What is a perpendicular bisector?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
A ribbon of length 4½ m is cut into pieces of ¾ m each. (a) How many pieces can be cut? (b) How much ribbon is left over?
12.2
Simplify: (3/4 + 2/3) x (5/6 - 1/4). Show all steps.
13.2
Construct an angle of 30 degrees using compass and ruler. Describe the method.
14.2
A circular pizza of diameter 28 cm is cut into 8 equal slices. (a) What angle does each slice make at the centre? (b) What is the radius of the pizza? (c) Describe how you would construct this division using compass.
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
Arrange in descending order: 5/6, 7/8, 11/12, 2/3. Find their sum and average.
16.3
A tank has three pipes. Pipe A fills 1/4 of the tank per hour, Pipe B fills 1/6 per hour and Pipe C empties 1/8 per hour. (a) If all three are open what fraction is filled per hour? (b) How long to fill the full tank? (c) If only A and B are open how long to fill? (d) Which is faster — all three pipes or just A and B?
17.3
Construct a triangle where two sides are 5 cm and 7 cm and the included angle is 60 degrees. List all steps and find the type of triangle formed.
18.3
Using only compass and straightedge: (a) Construct a line segment of 7.5 cm. (b) Find its midpoint using perpendicular bisector. (c) Construct a circle with the midpoint as centre and half the segment as radius. (d) What is the diameter of this circle? (e) Does the circle pass through the endpoints of the segment?
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
Priya spent her day as follows: sleeping 8 hours, school 6 hours, homework 1½ hours, playing 2¼ hours and eating 1¼ hours. (a) Convert all to improper fractions. (b) What fraction of the day was spent sleeping? (c) What fraction was spent on school and homework combined? (d) How many hours were left for other activities? (e) If she wants to read for 1/3 of remaining time how long can she read?
20.5
Design a geometric pattern using the following constructions: (a) Draw a circle of radius 6 cm. (b) Mark 6 equally spaced points on the circle. (c) Join alternate points to form a triangle. (d) Join the other alternate points to form another triangle. (e) What shape is formed by the intersection of the two triangles? How many lines of symmetry does the final pattern have?
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