Independent Schools 11+ Maths | Guidance, Advice and Resources

The Independent Schools 11+ Maths exam evaluates a student’s understanding of key mathematical concepts and their ability to apply these concepts in various contexts. It tests both fundamental arithmetic skills and more advanced problem-solving abilities, ensuring that the student has a strong foundation in mathematics and can handle the academic rigors of independent school education. The Independent Schools 11+ Maths exam focuses on particular areas such as:

  • Fractions;
  • Multiplication;
  • Division;
  • Charts and graphs;
  • Number sequences;
  • Areas and perimeters;
  • Shapes and angles.

Sample 11+ Maths question 1

Which of these lengths is the longest?

a) 1.58 metres
b) 150.8 centimetres
c) 15,080 millimetres

d) 0.015 kilometres

c) 15,080 millimetres

150.8 cm = 1.508 m
15,080 mm = 15.08 m
0.015 km = 15 m

Sample 11+ Maths question 2

Which angle is the smallest?

How2Become 11+ Kent Test Maths Sample Question

x

w: 90°      right angles equal 90°
x: 33°      90° − y = 33°
y: 57°      angles on allied lines add up to equal 180°
z: 57°      alternate angles are equal [y and z] OR corresponding angles are equal, then 180° − 123°

How to answer the Independent Schools 11+ Maths paper

During the exam candidates will be provided with two booklets. One booklet will be the testing booklet which will include all the questions. The other booklet is the answer booklet and should be filled out in relation to the testing questions. Students need to check that they have been given the correct testing and answer booklets, and that the booklets match the paper that you are expected to sit. During the test, to mark the correct answer in the answer booklet, students must draw a line through the small rectangular box, indicating their chosen answer.

Like so:

How2Become 11+ Sample Maths Answer Sheet

Remember, student’s answers must show correlation with the number of the correct question. You will not receive a mark for the question if your answer number doesn’t match the question number.

Top tips for the Independent Schools 11+ Maths exam 

  • Some people like to work on the questions they find most difficult first. Some people prefer to leave the hard questions to last. Pick a way that you feel comfortable with and use it throughout your Maths tests.
  • Accuracy is key. You need to remain as accurate as possible to ensure successful marks. That’s why it is important to fully comprehend the questions and understand what is being asked. Most people find it difficult to finish all of the questions. These tests are designed to measure your level of accuracy against the speed at which you progress. Never sacrifice quality for quantity.
  • Practice makes perfect. The more you practice these tests, the more likely you are to feel comfortable and confident with these types of questions.
  • Make sure you brush up on the basics of maths. This includes multiplication, division, ratios, fractions, percentages, areas, mean, modes, median and range. You will face multiple questions that relate to the list above, so it is important that you have fully grasped these types of questions.
  • Work on your weakest areas first. Whilst undergoing preparation, we recommend that you start off by practising questions that you are not so confident with. It’s important to ensure that you are well rounded in all areas of the mathematical assessment.
  • When sitting practice papers, remember, knowing where you went wrong is just as important as getting the questions correct. You need to understand how the answer can be reached. Try practising the question again after reading the answers and explanations to ensure that you know where you went wrong.

Revision tips for parents

  • While it is the school’s responsibility to prepare your child for their upcoming exam, support and encouragement from parents can go a long way. Encouraging your child to do even a small amount of practice outside of school can really improve their performance.
  • Do not overload your child with stacks of work. This will only make them feel overwhelmed and discourage them. As with many things, it is best to break up their revision sessions into small, manageable chunks. This will ensure that their concentration levels remain high, and that they are able to take in the information that is being covered.
  • Make sure you schedule in plenty of rest breaks for your child. Allow them to go outside or participate in an activity that they enjoy doing. This boosts their energy and prepares them for the next time they sit down to study.
  • Reward their progress and achievements. This doesn’t have to mean anything extravagant, but when they have done well, or mastered a certain type of question that they had been struggling with, a small reward will make it all feel worthwhile.
  • Have key notes or definitions placed around your home or your child’s bedroom. This will refresh the memory subliminally and help small portions of information to sink in. Visual aids are a great way to stimulate a child’s brain.
  • Encourage your child not to feel embarrassed about discussing topics that they don’t understand, so that they are able to talk through them.
  • Plan to focus on a specific topic in each ‘session’. This will ensure that revision is not too overwhelming. Begin with a topic that they find the most challenging, and interchange this with a topic that they are confident on – this will keep their confidence at a stable level.
  • Encourage note-taking and bullet-point making. If your child is simply reading through questions and working them out in their head, they are less likely to retain key information.
  • Make sure your child has an environment to study in which is as distraction-free as possible. Ideally, you should choose somewhere not too noisy or cluttered. This will also mean that they will get more done, as they can avoid potential interruptions.
  • Similarly, when your child has set aside some time to revise, make sure that the television is off, there are no phones available, and the focus is purely on the subject at hand. This means that once it is time for a break, these things will serve as a reward for them in their free time.
  • Once your child has become confident with a certain type of question, try encouraging them to practise under timed conditions. They do not necessarily have to do a whole past paper in one sitting, but even just one timed section will help to simulate the feel of the actual exam day.
  • Gradually build up to longer sessions. If your child is having trouble concentrating, start with short twenty-minute sessions and aim to build them up over the course of their exam preparation. This makes a lot more sense than sitting your child down for an hour or two and expecting them to stay concentrated from the outset.
  • It may sound obvious, but make sure your child is getting enough sleep. If you haven’t already, try and establish a solid routine. This will mean that they are able to concentrate and retain more information.
  • It is especially important to try and ensure that your child gets adequate sleep the night before the exam. Try not to make them feel too stressed or pressured in the evening, and reassure them that you are confident in their abilities. This will alleviate some of the worrying that can occur in the days leading up to the exam.
  • Let your child know that you are proud of them – whatever the outcome. They do not need the added pressure of worrying about potential failure. The best thing you can do is to encourage them.
  • Getting the right nutrition is also essential for everything from concentration, to sleep, to mood. Ensure that your child is eating healthily and has a well-balanced diet. Consuming too much sugar or high-fat foods will make your child’s energy levels peak and then crash, thus negatively affecting their performance.
  • Similarly, make sure your child is getting plenty of fresh air and exercise. They should be spending a small amount of time outside each day. This will also keep their concentration levels high and help them to get a refreshing sleep every night.
  • Try not to leave revision to the last minute. This will only make your child feel unnecessarily stressed and anxious. If you start introducing small, manageable bites of revision a good amount of time before the exam, it will make for a much more productive outcome in the long run.

Independent School 11 Plus Online Practice Course

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  • 100S OF SAMPLE eleven plus test questions;
  • ANSWERS AND EXPLANATIONS to all the questions.

Don’t forget, we have an excellent YouTube channel with videos covering all aspects of the Independent Schools 11+ maths exam as well as the English, verbal reasoning, and non-verbal reasoning tests.

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