Challenge Paper – GCSE Higher
Challenge Paper – click here to download
Each year there seems to a be a question or two that appears on Twitter as it is “impossible,” such as the infamous “Hannah’s sweets” question.
I believe that the vast majority of GCSE tests are fairly predictable but there will always be a “curveball” or two thrown in. It is impossible to predict exactly which “curveball” will come up, but I have created a paper of 40 of my favourite challenging Higher questions.
Some of my favourites include:
Question 2 – An angles in polygons questions involving algebra
Question 6 – A lovely question on mean from a frequency table. The mean is given and the frequency needs to be calculated.
Question 20 – An equation of a line question where the student needs to find the scale on both the x-axis and y-axis.
Question 25 – A probability question that is very similar to the “Hannah’s sweets” one
Question 26 – An area of a segment question where the student needs to use the cosine rule to find the angle.
Question 27 – A circle theorems/geometric proof question
Question 28 – A histogram question with no scale on the frequency density axis.
Question 33 – A question involving advanced trigonometry but given it is a quadrilateral, it can cause some issues.
Question 38 – A quadratic formula question where the student needs to work backwards to find the equation.