This lesson has five grade 8 and 9 maths problems for higher-ability students. Each question requires students to connect multiple high-level topics within a single problem.
The five questions connect the following topics:
Here is a sample of three questions from the five.
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In this question, students make a comparison between two crops of beans. To make this comparison, they will need to use interpolation to estimate the interquartile range and median from the histogram.
Their comparison should use these values to comment on the spread and measure the central location for each crop.
Students work out the average density of the composite solid. To do this, they begin by working out the individual volumes of the frustum and hemisphere.
Should the students need further prompts, I encourage them to present the information within a table as shown below.
By laying out the information in this way, most students could calculate the total volume and mass of the composite solid.
My name is Jonathan Robinson, and I am passionate about teaching mathematics. I am Head of Maths in the South East of England and have taught for over 15 years. I am proud to have helped teachers worldwide continue engaging and inspiring their students with my lessons.
Linking cumulative frequency graphs to ratio, percentages and financial mathematics.
In this lesson there are five grade 8 and 9 maths problems for higher ability students.
Grade 4 GCSE mathematics revision lessons to watch and download.