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Question 28 Haberdashers Monmouth Girls School HABS Entrance Examination 2015

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Question 27 Haberdashers Monmouth Girls School HABS Entrance Examination 2015

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Question 26 Haberdashers Monmouth Girls School HABS Entrance Examination 2015

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Question 38-Reigate Grammar 11 Plus Maths Entrance Examination 2021

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The Manchester Grammar School 11 Plus Maths Entrance Exam 2008 - Question 04

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Understanding and Interpreting Line Graphs for 11+ Exams

1. What are Line Graphs?

A line graph is used to compare two sets of data that are related in some way. Most commonly, a line graph is used to show how something changes over time, maybe over the course of a week, a year, or even longer.

Line graph shows how values shown on Y- axis changes as another value changes on X- axis

11+ Topicwise Line Graph Article Image 01

Line graphs use points that are connected by lines which allow values to be estimated along a       line drawn through the points.

For example, a graph to show how the temperature of water increases with time when it is heated.

11+ Topicwise Line Graph Article Image 02

What was the temperature of the water after 4.5 min?

First take a look at the two axes and try to understand what these axes denote

Let us now draw a parallel line from the x- axis on the plotted line from 4.5 min.

Join the perpendicular line on the y-axis. 

At 4.5 minutes the temperature was 56°C.

1.1. Example on Line graphs

Example:

On a summer day, Jack starts filling a paddling pool with water. The graph below shows the depth of water in the paddling pool over time.

11+ Topicwise Line Graph Article Image 03

At what time the water was 15 cm deep?

Solution: 

Let us draw a parallel line from the Y- axis on the plotted line from 15cm. Join the perpendicular line on the X-axis. Water was 15 cm deep at 3.08 pm.

Example:

James cycled to his house for lunch and returned back to the office. The travel graph below shows his journey.

11+ Topicwise Line Graph Article Image 04

On the way he stopped to buy some snacks and then after some time he stopped to fill the gas.

At what time did he stop to buy snacks?

Solution: 

11+ Topicwise Line Graph Article Image 05

The graph is constant for 30 min from 11:00 to 11:30

Hence he stopped at 11:00 for 30 mins.

Quiz Questions
11+ Topicwise Line Graph Article Quiz Image
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11+ Maths Topics

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  • Frequently Asked Questions
    What is a good score in 11+ Maths ?

    What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.

    How to prepare for the 11+ Maths exam?

    The best way to prepare for the 11+ Maths Exam is by practicing 11+ Maths topic-wise questions regularly.

    Can I cancel my subscription?

    Maths online subscriptions are “Non-Refundable“. No refunds can be issued for any reason. This is because of the nature of digital products.

    You should, therefore, make sure that the Maths online subscriptions fulfil your needs before you subscribe.

    As these are digital products, we advise parents to go through our Free Past Papers provided on our website and once decided they can buy subscriptions.

    Maths:
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    What kind of questions are asked in the 11 Plus Maths exam?

    The majority of the 11 Plus Maths questions are mathematical problem-solving, where pupils need to understand and apply mathematical concepts. With regular practice of 11+ Maths Topic-wise questions, you will pass the 11-plus Maths Exam with a high score.

    What do you need to know for the 11 Plus Maths exam?

    The children must master the following topics for the 11 plus exams

    • Number and place value.
    • Addition, subtraction, multiplication, and division.
    • Fractions, percentages, decimals.
    • Ratio and proportion.
    • Algebra.
    • Measurement.
    • Geometry (properties and position of shapes, coordinates)
    • Statistics.

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