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Question 18 - Sevenoaks School Year 7 Entrance Exam 2023

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Question 10 - Sevenoaks School Year 7 Entrance Exam 2023

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Question 09 - Sevenoaks School Year 7 Entrance Exam 2023

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Question 08 - Sevenoaks School Year 7 Entrance Exam 2023

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Question 10 - Oundle School 11 Plus Junior Entrance Examination 2022

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Oundle School - 9 Plus Maths Practice Paper 2014 Question 15

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Oundle School - 9 Plus Maths Practice Paper 2014 Question 11

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Question 09 - Merchant Taylors School 11 Plus Maths Specimen Paper 1

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Question 08 Reigate Grammar School 11 Maths Entrance Examination 2012

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Decimal Numbers Explained for the 11+ Maths Exams

1. Decimal Numbers

Decimal numbers are used to display the whole number and fraction together. This whole number and fractional part are separated by inserting a ‘.’, which is known as the decimal point. For example, you are going to buy some grocery items. The store manager says the total bill is £15 and 57 pence. So, to express this amount in one figure, you will express this amount as £15.57. There are many such real-life situations using decimal numbers. We use decimal numbers in our daily lives with money, weight, distance, length, etc. 

01 Decimals

Decimals lie between integers on the number line. They are one of the ways of representing fractions in Maths.

02 Decimals

1.1 Reading Decimal Numbers

The method of reading a decimal number is to first read the whole number followed by ‘point’, then to read the digits in the fractional part separately. For example, we read 96.37 as ninety-six point three seven.

03 Decimals

1.2 Adding and Subtracting Decimal Numbers

When adding and subtracting decimals, we line up the decimal points and insert zeros as placeholders if required. Do the calculation in the same way as done for whole numbers addition or subtraction, keeping the decimal point in the answer below the decimal point in the calculation. 

For example:

 a)4.031 + 5.2                                             b) 9.563 - 4.42

04 Decimals

1.3 Multiplying Decimal Numbers

To multiply a decimal number by 10, 100 and 1000, move the digits to the left as many times as the number of zeros as shown below:

05 Decimals

While multiplying two decimal numbers, first, we ignore the decimal point and multiply the two numbers normally. After multiplication, we add the number of decimal places of both the numbers. The answer obtained after multiplication will have the same total number of decimal places. Place the decimal point in the obtained answer.

For example:

a) 75 x 1.5

b) 3.5 x 1.5

06 Decimals

07 Decimals

1.4 Dividing Decimal Numbers

To divide decimal numbers by 10, 100 and 1000, move the digits to the right as many times as the number of zeros. Remember, when dividing, we may have to cross the decimal point.

08 Decimal

We can divide decimals by whole numbers in the same way as we divide two whole numbers. Remember to keep the decimal point of the number above the bus stop in line with the decimal point of the number inside the bus stop. We can divide a decimal by another decimal by converting them using equivalent fractions.

For example, to divide 1.2 by 0.5 we find equivalent fraction of 1.2÷0.5 = 12÷5 and then divide 12 by 5.

For example: Divide 338.56 by 16.

09 Decimals

Quiz Questions
07. Decimals
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11+ Maths Topics

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  • Measurement (331)
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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:
    11+ Sample Paper with answers - 1

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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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