Series RTEQ.P. Code 83/-2/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 7
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
A number is selected at random from 1, 2, 3, ..., 20. Find the probability that it is divisible by 4.
2.1
A fair die is thrown once. Find the probability of getting a number less than 5.
3.1
One card is drawn from a well-shuffled pack of 52 cards. Find the probability that it is a heart.
4.1
If P(not E) = 0.28, find P(E).
5.1
State the probability of a sure event and the range of values the probability of any event can take.
6.1
The less-than ogive and the more-than ogive of a distribution cut each other at a point. What does the x-coordinate of this point represent?
7.1
If the mean of a distribution is 40 and the median is 41, find the mode using the empirical relation.
8.1
For a distribution Σf = 60 and Σfx = 2100. Find the mean.
9.1
In the step-deviation method a = 50 and h = 10. Find u for the class whose class mark is 70.
10.1
Find the class mark of the class 90-110.
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
Two dice are thrown together. Find the probability that the sum of the numbers is at least 9.
12.2
A bag contains 5 red, 8 white, 4 black and 3 green balls. One ball is drawn at random. Find the probability that it is (i) white or green (ii) not red.
13.2
The data has inclusive classes 10-14, 15-19, 20-24, 25-29, 30-34 with frequencies 3, 8, 14, 9, 6. Find the median.
14.2
Find the mode of the data with classes 0-10, 10-20, 20-30, 30-40, 40-50 with frequencies 3, 9, 16, 22, 12.
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
A bag contains 8 red balls and some blue balls. The probability of drawing a red ball is 2/7. (i) Find the number of blue balls. (ii) If 4 more red balls are added, find the new probability of drawing a red ball.
16.3
A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that it is (i) the queen of a red suit (ii) a spade or an ace (iii) neither a face card nor an ace.
17.3
The classes 0-20, 20-40, 40-60, 60-80, 80-100 have frequencies 3, x, 8, y, 3. The total frequency is 60 and the median is 55. Find x and y.
18.3
Using the assumed mean method with a = 150, find the mean of the data with classes 100-120, 120-140, 140-160, 160-180, 180-200 with frequencies 6, 10, 14, 12, 8.
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
Two dice are thrown together. Find the probability that (i) the sum is 9 (ii) both dice show the same number (iii) the sum is at most 4 (iv) the product is a perfect square (v) the sum is odd.
20.5
Find the mean, median and mode of the data with classes 0-10, 10-20, 20-30, 30-40, 40-50, 50-60 with frequencies 4, 6, 10, 14, 8, 3.
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