Series RTEQ.P. Code 60/-2/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 7: Proportional Reasoning-1
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
What symbol indicates two ratios are proportional?
2.1
How do you reduce a ratio to its simplest form?
3.1
What is the cross-multiplication rule for a:b::c:d?
4.1
What is 1 litre in millilitres?
5.1
What is the ancient Indian name for the Rule of Three?
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Simplify the ratio 90:60 and check if it is proportional to 60:40.
7.2
A car travels 90km in 150 minutes. Find the distance covered in 240 minutes at the same speed.
8.2
Divide ₹4,500 in the ratio 2:3. Find both parts.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Explain why Puneeth's father's speed-time problem (50:2::75:x) cannot be solved using the Rule of Three.
10.3
A 40kg mixture has sand and cement in ratio 3:1. How much cement must be added to change the ratio to 5:2 (sand:cement)?
11.3
Himachal tea: 200g for ₹200. Meghalaya tea: 1kg for ₹800. Determine which tea is more expensive per kg and show your work.
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