# GCSE MATHS HOMEWORK PACK 3 HIGHER TIER ANSWERS

Find algebraic formulae for the areas and volumes of similar shapes Extend to questions which give the ratio for area and the need to square root the ratio to get back to length first etc. This can be used to record the marks of each student on each homework sheet. If two homeworks are completed each week this will allow the pack to be completed before the mock GCSE examinations. Team Leader’s use only. Higher Tier Worksheet 52 1a b Worksheet 53 b Worksheet 54 cm3 1a b cm2 These problems are due Monday, July Use a formula triangle to help students see the relationship between the variables for density Borrow a set of electronic scales and a Eureka Can from Physics for a practical density lesson Look up densities of different elements from the internet Link converting area and volume units to similar shapes Draw a large grid made up of by cm squares to show what 1 square metre looks like Use of Calculators Spec Ref:

If students have forgotten the topic they can use the Revision Guide to refresh their memory. If students have both, it extends the ways in which this pack can be used: They should be confident in entering a range of calculations including those involving time and money. If the students have difficulties with questions they can be directed to revise the appropriate pages in the Revision Guides. Link Unitary method with Ratio topic Unit 1 and 2 Problems involving other types of proportionality, eg surface area to volume of a sphere Link to graphs to show direct and inverse proportion, eg etc. Emphasise that students describe the given transformation fully Diagrams should be drawn carefully The use of tracing paper is allowed in the examination although students should not have to rely on the use of tracing paper to solve problems. Higher Tier – Bemrose.

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### AQA GCSE Maths Higher Teacher Pack by Collins – issuu

O The marks gcse maths homework pack 3 higher tier answers each question are General Certificate of Secondary Education. The pack can be used in a variety of ways: Constant revision of this aspect is needed All work needs to be presented clearly with the relevant stages of working shown, even if a calculator is used Use Functional Elements problems as a source of questions involving fractions in a real-life context.

Find the volume of a cylinder given its surface area, leaving the answer in terms of l Find the volume of a right hexagonal cone of side x and height h researching the method for finding the volume of any cone.

Profile Sheets 2 to 6 — Class assessment pages to A simpler alternative is to use the profile sheets for class assessment. As a battery of tests in preparation for the mock examination or GCSE examination.

## GCSE Maths Homework Pack 3: Higher Tier – Bemrose

Similarity and Congruence Homework. I The total mark for this paper is Decide when it is more appropriate to use cosine rule rather than sine rule.

Blank A4 Worksheet Factorise: Length Area Volume scale factors. Solve equations by using inverse operations or by transforming both sides in the same way Solve linear equations with integer or fractional coefficients, in which the unknown appears on either side or on both sides of the equation Solve linear equations that require prior simplification of brackets, including those that have negative signs occurring anywhere in the equation, and those with a negative solution Solve simple linear inequalities in one variable, and represent the solution set on a number line.

Simultaneous equations and inequalities Simultaneous Equations. Higher Tier Worksheet 82 a Check points18 and Use of inverse operations and rounding to 1 significant figure could be applied to more complex calculations Derive equations from practical situations such as finding unknown angles in polygons or perimeter problems Solve equations where manipulation of fractions including the negative fractions is required Solve linear inequalities where manipulation of fractions is required.

Draw triangles and other 2-D shapes, using a ruler and protractor, given information about side lengths and angles Understand, from their experience of constructing them, that triangles satisfying SSS, SAS, ASA and RHS are unique, but SSA are not Use straight edge gcse maths homework pack 3 higher tier answers compasses to do standard constructions Construct loci Understand similarity of triangles gcse maths homework pack 3 higher tier answers of other plane figures and use this to make geometric inferences Recognise that enlargements preserve angle but not length Understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles by using formal arguments, and also to verify standard ruler and compass constructions.

There may be a need to remove the HCF numerical of a trinomial before factorising it to make the factorisation easier to do Students should be reminded that factorisation should be tried before the formula is used In problem-solving, one of the solutions to a quadratic may not be appropriate, eg negative length. They should realise that 2.

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Worksheet 90 -9 3 gcse maths homework pack 3 higher tier answers left or 0 0. Unit 3 Higher Edit 47 … 0 Tags No tags. Solve two simultaneous equations with fractional coefficients Solve two simultaneous equations with second order terms, eg equations in x and y2 link to further simultaneous equations.

Use the sine and cosine rules to solve 2-D problems Calculate the area of a triangle using absinC Use the sine and cosine rules to solve 3-D problems.

Apply changing the subject to physics formulae, ie pendulum, equations of motion, lens formula. Expand algebraic expressions involving three pairs of brackets Link difference of two squares with surds and the rationalisation of denominators. Understanding of the mathematical meaning of the words expression, simplifying, formulae and equation Experience of using letters to represent quantities Substituting into simple expressions using words Using brackets in numerical calculations and removing brackets in simple algebraic expressions Solving linear equations.

By the end of this Unit the student should be able to: Solve loci problems that require a combination of loci Construct combinations of 2-D shapes to make nets Link with tessellations Unit 2 and enlargements Unit 3 Link with similar areas and volumes Use harder problems in congruence Relate this unit to circle theorems. Millionaire SohCahToa or Pythagoras? Understand and use compound measures, including density Convert measurements from one unit to another area and gcse maths homework pack 3 higher tier answers.

Mathematics Linear – Solving linear equations Plotting Inequalities.

### Glyn MATHS GCSE – Unit 3 Higher

The paperweight contains just enough sand to fill the cylinder. Mathematics Linear — This scheme of work has tried to follow a typical scenario where crucial supporting work is covered but a certain This book is under copyright to A-level Maths Tutor. Since it stretches, this is a good application of something not having a defined length Mention that bridges have expansion joints.