Mathematics Higher Tier Year 11

Pupils follow a balanced course leading to assessment in 4 attainment targets – Using and Applying Maths, Number and Algebra, Shape, Space and Measures and Handling Data.  The course is assessed by two 2-hour written examination papers.  One paper allows the use of a calculator and one paper does not.

Autumn Term

Standard form

  • Write numbers in standard form.

  • Write standard form numbers in full.

  • Calculate using standard form.


  • Familiarize the ‘language’ of indices.

  • Use the rules for x and ÷ index numbers and the rules for zero, negative and fractional indices.

  • Solve equations with indices.

Cumulative frequency

  • Construct cumulative frequency tables and draw cumulative frequency diagrams.

  • Use cumulative frequency diagram to estimate the median and interquartile range and use them to compare distributions.


  • Construct and interpret histograms.

  • Produce a frequency table from a histogram.

Similar shapes

  • Identify similar shapes.

  • Recall the conditions for similar shapes.

  • Calculate the unknown lengths in similar shapes.

Area/Volume of Similar shapes

  • Calculate area of similar shapes.

  • Calculate volume of similar shapes.

Congruent triangles

  • Identify congruent triangles.

  • Recall the four conditions for congruent triangles.

  • Prove 2 triangles are congruent.

Quadratic Equations

  • Solve quadratic equations of the type x2+bx+c=0 by factorisation.

  • Explore the properties of quadratic functions by drawing graphs.

  • Solve equations by drawing graphs and reading where the graph cuts the x-axis.

  • Solve quadratic equations by using the formula.

  • Solve quadratic equations by completing the square.

Algebraic fractions

  • Simplify algebraic fractions.

  • Multiply, divide, add and subtract algebraic fractions.

  • Solve equations involving algebraic fractions.

  • Solve problems leading to quadratic equations by factorising or using the quadratic formula.

Spring Term

Pythagoras’ theorem/ Trigonometry

  • Use information given to write down the sine, cosine and tangent of an angle.

  • Use information given to find angles using the appropriate ratio.

  • Use information given to find the lengths of sides in a right angled triangle.

  • Find angles of elevation and depression using the appropriate ratio.

  • Apply trigonometrical ratios and Pythagoras to solve assorted problems.

  • Apply the rule of Pythagoras in 3D.

  • Visualise appropriate triangles in diagrams in 3D.

  • Solve problems using Trig. in right angled triangles in 3D.

Sine Rule, Cosine Rule and area of a triangle

  • Use the Sin rule to solve problems in 2D.

  • Use the Cosine rule to solve problems in 2D.

  • Solve problems using the sin rule and cosine rule in 3D.

  • Calculate bearings using sin rule / cosine rule.

Trigonometric functions and equations

Recognise and sketch

  • y = sin x

  • y = cos x

  • y = tan x

for 180o < x < 360o

Solve trig. equations graphically and using the method of ‘4 quadrants’

Arc and Sector of a Circle

  • To find the arc length of a sector of a circle.

  • To find the sector area of a circle.

  • To find the radius / angle given the arc length / sector area of a circle.

Rates of change/ Area under a curve

  • Calculate gradients of curves.

  • Find rates of change on

    • a) distance – time graphs     

    • b) velocity – time graphs

  • Find area under graphs on

    • a) velocity-time graphs   

    • b) acceleration – time graphs

Summer Term

  • Past papers

In order to help your child progress in Mathematics you could:

  • Ensure they have a geometry set and a scientific calculator with them for all lessons.

  • Practice mental arithmetic.

  • Encourage your child to explain how they are completing a set task..

  • Play an active role in ensuring that your child is regularly accessing the website which is used for all homework tasks and contains a vast amount of materials to support and enhance your child’s learning.

  • Whenever possible try to make your child aware of the mathematics involved in real life e.g. Utility bills, salaries, bank accounts, credit card and loans.