ENTRY TO YEAR 5

English

90 minute test

A: English as First Language

The Entrance exam will consist of the following:

- Reading for comprehension - analysing a literary extract
- Extended writing - an essay on a given topic

For applicants who are First Language English speakers, it is essential that they have a degree of experience in the study of literature and analysis.

B: English as Second language

Grammar:

It is expected that the student will be skilled in

- The tense/aspect system (Simple, continuous, perfect, perfect continuous)
- Forms for possible or probable events – conditionals, might, may etc.
- Reported clauses – participle clauses
- Gerunds and infinitives
- Passive constructions
- Time clauses in the future – when + present simple
- Formal and informal register
- A range of text type conventions (letters, articles, essays)

Recommended Literature: R. Murphy: English Grammar in Use

The exam consists of grammar, reading and writing sections.

- Tenses: Present & past simple, continuous, perfect & perfect continuous. Future forms & conditionals
- Sentence transformation exercises ranging from B1 to C1 level (PET exam to CAE) which test understanding and use of passives, conditionals, comparative/superlative, reported speech.
- A close text exercise which test vocabulary and word grammar.

Information on these language levels (B1, B2, C1) and on the Cambridge exams PET, FCE, CAE and practice exercises can be found at:

https://www.cambridgeenglish.org/exams-and-tests/qualifications/

https://www.cambridgeenglish.org/exams-and-tests/cambridge-english-scale/

Reading:

There are 2 reading comprehension texts and candidates complete a different task for each text: multiple choice, true/false questions and a matching exercise.

The language level of the texts are B2 (FCE) & C1 (CAE) level.

Writing:

The short writing task is based on CAE writing task 2 and instructs candidates to write in a particular text type.

The task is graded for range and accuracy of grammar and vocabulary, organisation and use of linking devices, style of writing and relevance to the question and adherence to text type conventions.

Mathematics

90 minute test - calculator required, formulas will be given

NUMBER

Round numbers to the required number of decimal places or significant figures

Use index notation and index laws for multiplication and division of positive and negative integer powers

Perform calculations with numbers in standard form

Perform calculations involving ratios and direct proportion

Solve problems with percentages, including percentage increase and decrease, cost and sale price, reverse percentages

GEOMETRY

convert between different units of length and area

calculate the area of a triangle, square, rectangle, parallelogram, rhombus and trapezium

know the terms; radius, diameter, circumference, pi

calculate area and circumference of a circle

find the height from the area

find the area and perimeter of compound shapes

know the angle rules for line, point, opposite and parallel lines and use them to find missing angles

use pythagoras’ theorem to find missing lengths in right angled triangles

use and convert between units of length, area, volume, mass and capacity

calculate the volume of prisms including cuboids and cylinders

calculate the surface area of a cuboid and a cylinder

calculate the volume of pyramids including cones

calculate the volume and surface area of a sphere

find the surface area composite solids

find the volume of composite solids

Solve problems involving the re-arrangement of formulae

Find missing sides and angles in right-angled triangles using SOHCAHTOA

Find angles of elevation and depression

Solve non-right-angled triangles using the Sine Rule ( 2 sides, 2 angles)

Solve non-right-angled triangles using the Cosine Rule ( 3 sides, 1 angle)

Find the area of a triangle where the height is unknown

ALGEBRA

Recognise simple sequences, find further terms and find the rule

Simplify algebraic expressions including those involving algebraic fractions

Substitute into formulae

Multiply out a single and double bracket

Solve linear equations

Change the subject of a formula, including ones with fractions, squares and roots

solve a pair of equations by elimination or substitution

factorise simple algebraic expressions by taking out a common factor

Solve quadratic equations by factorising

Solve a quadratic equation by using the quadratic formula

Solve simple word problems or diagrams which lead to a quadratic equation

Solve complex word problems or diagrams which lead to a quadratic equation

find the formula between relationships which are in simple direct proportion and use it to solve problems

find and use the formula between variables, where one variable is in direct or inverse proportion to the square, cube or square root of another variable

find and use the formula between relationships which are in simple inverse proportion

Use function notation

understand and find the composite function fg

Find the inverse function

Solve equations involving algebraic fractions

GRAPHS

Write down the gradient of line segment

Find the equations of vertical or horizontal lines

Draw a graph within a given range, given a linear equation

Find the equation of a line given the graph

State the gradient and y intercept of a line from the equation

DATA

Find the average of a set of numbers

Find probabilities from experiments, listing outcomes, Venn diagrams and tables

Find expected frequency

draw and use tree diagrams ( with and without replacement)