Venn diagram maths questionĪngle WXC = Angle CYZ because angles in the same segment are equal.Īngle XWC = Angle CZY because angles in the same segment are equal.Īngle WCX = Angle ZCY because vertically opposite angles are equal.
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They often lack structure and hints, and require the student to confidently work out what is required to work out the solution. These GCSE maths questions appear on the higher tier paper and draw on a range of skills.
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if 4 x + 1 is multiplied by 3, this should be 3(4 x + 1) or 12 x + 3.Ī common mistake would be to not multiply the term that is outside the bracket by every term inside the bracket.įor more GCSE maths questions take a look at our free Algebraic fractions lessons and for more personalised support schools can plug gaps with our targeted one-to-one interventions. When subtracting the fractions, students must take care to insert brackets and/or multiply every term. As this question gives two fractions subtracting to give a third, students may attempt to find a common denominator for all three fractions in the first step. Surds maths questionįractions can present difficulties for both higher and foundation students. Guided practice of factorising quadratics in Third Space Learning’s online interventions 2.
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Finally, the student needs to decide how to present the fully simplified answer.įor more GCSE maths questions take a look at our free Factorising lessons and for more personalised support schools can plug gaps with our targeted one-to-one interventions. Next, the algebra needs to be simplified with extra care needed to ensure that the negative and positive signs are correct. In order to spot the more efficient method of the difference of two squares, students first have to recognise part b) is in the same form as part a) and that it can be rewritten in the form (x 2 + 8 − x 2 + 4)(x 2 + 8 + x 2 − 4). While this is a correct method, it is a longer process and is therefore subject to potential errors. Factorising maths questionįor b) students may not use the difference of two squares as they did in part a) and proceed to try and expand then simplify the brackets.
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These are skills very often revisited as an introduction to an A Level maths course. The questions may look simple in their presentation, but they require key skills to be carefully selected and applied.
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These GCSE questions require a secure set of mathematical skills and accuracy in applying them. Grade 8 and Grade 9 style GCSE maths questions my own experience preparing students for GCSE maths exams for many years.how many students are likely to be able to access the question,.common errors students are likely to make on a question,.The level of difficulty for each GCSE maths question has been determined by: In the following GCSE exam questions, you will find questions for a range of key GCSE maths topics from Grade 9 to foundation. presenting a topic in an unfamiliar context,.Therefore, every exam paper will have questions which can present challenges to students.Įlements that can increase the difficulty of the question include: This enables the exam boards to produce a distribution of results in order to calculate appropriate GCSE grade boundaries.
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GCSE papers need to be accessible to students with a wide range of abilities. Order of operations (BIDMAS) maths question Lowest common multiple and highest common factor maths questions