Series RTEQ.P. Code 74/-3/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 10: Proportional Reasoning-2
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.What does RF stand for on a map scale?
1 2.What is the total angle in a full circle used for pie chart calculations?
1 3.Two quantities x and y are in inverse proportion if which relation holds?
1 4.When dividing quantity x in ratio a:b:c, what is the formula for the first part?
1 5.As speed increases for a fixed distance, what happens to travel time?
1 SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.A map has RF 1:60,00,000. What real distance does 1 cm on the map represent?
2 7.Purple paint uses Red:Blue:White in ratio 2:3:5. If white paint is 10 litres, find the red paint needed.
2 8.20 workers take 4 days to complete a road. How many days will 10 workers take?
2 SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.Grades A,B,C,D,E have student counts 12,10,8,6,4. Find the pie chart angle for Grade A, showing all steps.
3 10.Ram takes 1 hour to cut vegetables; Shyam takes 1.5 hours for the same task. Find how long they take working together, showing your work.
3 11.A factory needs 42 machines to produce toys in 63 days. How many machines are needed to produce the same toys in 54 days? Show your work.
3 ✦ ✦ ✦
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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 · 2/2Well explained, with correct units and a neat diagram.