Series RTEQ.P. Code 38/1/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 1
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
In which quadrant does the point (4, −9) lie?
2.1
Find the distance of the point (−8, 6) from the origin.
3.1
Write the reflection of (−2, 5) in the y-axis.
4.1
Find the midpoint of (−4, 6) and (8, −2).
5.1
Write the general form of the coordinates of a point on the y-axis.
6.1
What is the degree of 5 − 4y?
7.1
Find the value of 2x² − 3 when x = −2.
8.1
What is the y-intercept of y = −x + 6?
9.1
Write the next term of the linear pattern 5, 9, 13, 17, …
10.1
Find the slope of the line 3y = 6x − 11.
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
Find the distance between (1, −2) and (7, 6).
12.2
Check whether the point (3, 5) lies on the line y = 2x − 1.
13.2
The line y = cx + 4 passes through (2, 10). Find c.
14.2
Find the points that divide the segment from (0, 0) to (9, −6) into three equal parts.
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
A (−2, 1), B (2, 4) and C (5, 0) form a triangle. (a) Find AB, BC and AC. (b) What type of triangle is it?
16.3
A taxi charges ₹130 for 5 km and ₹210 for 9 km, following y = ax + b. (a) Find a and b. (b) Find the fare for 15 km.
17.3
Consider y = 2x + 1 and y = 2x − 3. (a) Are they parallel? Why? (b) Where does each cut the y-axis? (c) How far apart are these two points?
18.3
A circle is centred at the origin and passes through (5, 12). (a) Find its radius. (b) Does (−12, 5) lie on it? (c) Does (10, −8) lie inside, on or outside it?
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
p(x) = ax + b and q(x) = cx + d satisfy: p(0) = 5, p(x) − q(x) cuts the x-axis at (2, 0), and p(x) + q(x) = 8x + 2. (a) Find b and d. (b) Find a and c. (c) Write p(x) and q(x). (d) Where does p(x) cut the x-axis? (e) How far apart are the y-intercepts of p and q?
20.5
A row of squares made of matchsticks uses 4, 7, 10, … matchsticks at stages 1, 2, 3, … (a) Find the number for stages 4 and 5. (b) Write a rule for stage n. (c) How many are needed at stage 20? (d) Can exactly 100 matchsticks form a stage? (e) If the stages are plotted as points (n, matchsticks), what are the slope and y-intercept of the line?
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