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Algebra Inverse Problems for the 11 Plus Exams

1. What are Algebra Inverse Problems?

Algebra Inverse Problems are problems that help to "recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems." Inverse operations can be used to work out addition, subtraction, multiplication and division problems

For example, if given the answer 432 to the question
458 - 23, we could add the 432 and the 23 together to see if it equals 458 .

2. How to solve Algebra Inverse Problems?

Algebra inverse problems can be solved, simply by performing the inverse for each operation.

For Example:

I am thinking of a number. I add 7852 and then subtract 2607. I now have 32 451. What is my number?

Solution:

Algebra Inverse Problems-11 Plus Topicwise Article-image-01

2.1 Example Algebra Inverse Problems.

Example1:

In the last year a shopkeeper bought 237 new books and removed 67 books. There were 5745 books in the Shop at the end of the year. How many books were in the shop at the start of the year?

Solution:

Algebra Inverse Problems-11 Plus Topicwise Article-image-02

Example 2:

It has been shown that when a slice of toast is dropped onto the floor, it lands buttered side up one-sixth of the time. George decides to demonstrate this to his son, so at breakfast time he drops lots of slices of toast onto the floor. 60 of the slices landed buttered side down. How many landed buttered side up?

Solution:

Algebra Inverse Problems-11 Plus Topicwise Article-image-03

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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.

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

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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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