Series RTEQ.P. Code 28/0/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 5: Prime Time
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 10 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 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 7 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 8 to 9 are short answer (SA) type questions carrying 03 marks each.
(vi)In Section D, Question number 10 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 5 questions of 1 mark each.
1.Write the prime factorisation of 48.
1 2.What is a composite number?
1 3.Is 2 the only even prime number?
1 4.What are twin primes? Give one example.
1 5.State the Sieve of Eratosthenes method in one sentence.
1 SECTION B
This section comprises 2 very short answer (VSA) type questions of 2 marks each.
6.Using divisibility rules, check whether 4536 is divisible by 4 and by 9.
2 7.Find all factors of 60 and identify which are prime factors.
2 SECTION C
This section comprises 2 short answer (SA) type questions of 3 marks each.
8.Find the HCF of 72, 108 and 144 using prime factorisation. Show all steps.
3 9.A number when divided by 3 leaves remainder 1, when divided by 4 leaves remainder 2, and when divided by 5 leaves remainder 3. Find the smallest such number.
3 SECTION D
This section comprises 1 long answer (LA) type questions of 5 marks each.
10.(a) List all prime numbers between 50 and 80. (b) Find two prime numbers whose sum is 100. (c) Express 60 as a product of prime factors using a factor tree. (d) Find LCM of 12, 15 and 20 using prime factorisation. (e) A shopkeeper has 12 apples, 15 oranges and 20 bananas. He wants to make identical gift bags using all fruits. What is the maximum number of bags and how many of each fruit per bag?
5 ✦ ✦ ✦
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16 / 20 · 78%Passed ✓ — chapter Mastered. This test now counts in your chapter progress.
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Q6 · 2/2Full marks. Correct method and the final answer is clearly stated.
Q7 · 1/2Right approach, but one step of working is missing. Show every step to get full marks.
Q8 · 3/3Well explained, with correct units and a neat diagram.