Maths Equations and Geometry

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Questions and Answers

What type of equations does MA5.2-8NA solve using analytical and graphical techniques?

  • Quadratic and cubic equations
  • Linear and simple quadratic equations (correct)
  • Complex linear and simultaneous equations
  • Simple cubic and literal equations

What is the focus of MA5.1-8MG in terms of geometry?

  • Calculating the volumes of composite solids
  • Calculating the areas of composite shapes (correct)
  • Applying formulas to find the volumes of right pyramids
  • Calculating the surface areas of rectangular and triangular prisms

What type of proportion does MA5.2-5NA recognise and solve problems involving?

  • Indirect proportion
  • Direct and indirect proportion (correct)
  • Inverse proportion
  • Direct proportion

What does MA5.3-4NA involve in terms of graph analysis?

<p>Drawing, interpreting and analysing graphs of physical phenomena (C)</p> Signup and view all the answers

What type of trigonometry does MA5.1-10MG apply to solve problems?

<p>Trigonometry with diagrams (C)</p> Signup and view all the answers

What does MA5.2-13MG apply to solve problems involving bearings?

<p>Trigonometry (D)</p> Signup and view all the answers

What does MA5.3-15MG apply to solve three-dimensional problems?

<p>Pythagoras' theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule (A)</p> Signup and view all the answers

What does MA5.2-12MG apply to calculate the volumes of composite solids?

<p>Formulas for right prisms and cylinders (D)</p> Signup and view all the answers

What is the primary method used to solve linear and simple quadratic equations?

<p>Analytical techniques (A)</p> Signup and view all the answers

What is the purpose of calculating the surface areas of rectangular and triangular prisms?

<p>To apply formulas to real-world problems (A)</p> Signup and view all the answers

What is the role of Pythagoras' theorem in problem-solving?

<p>To solve problems involving right-angled triangles (D)</p> Signup and view all the answers

What is the focus of solving simultaneous equations?

<p>To solve problems involving complex linear equations (C)</p> Signup and view all the answers

What is the relationship between trigonometry and angles of elevation and depression?

<p>Trigonometry is used to solve problems involving angles of elevation and depression (C)</p> Signup and view all the answers

What is the purpose of recognising direct and indirect proportion?

<p>To solve problems involving ratios and proportions (D)</p> Signup and view all the answers

What is the role of formulas in calculating the volumes of composite solids?

<p>To apply formulas to calculate the volumes of composite solids (D)</p> Signup and view all the answers

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Study Notes

Equations and Inequalities

  • Solves linear and simple quadratic equations, linear inequalities, and linear simultaneous equations using analytical and graphical techniques.
  • Solves complex linear, quadratic, simple cubic, and simultaneous equations, and rearranges literal equations.

Geometry and Measurement

  • Calculates the areas of composite shapes, and the surface areas of rectangular and triangular prisms.
  • Calculates the surface areas of right prisms, cylinders, and related composite solids.
  • Applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders.
  • Applies formulas to find the volumes of right pyramids, right cones, spheres, and related composite solids.

Proportional Reasoning

  • Recognises direct and indirect proportion, and solves problems involving direct proportion.

Graphs and Trigonometry

  • Draws, interprets, and analyses graphs of physical phenomena.
  • Applies trigonometry to solve problems, including problems involving angles of elevation and depression.
  • Applies trigonometry to solve problems, including problems involving bearings.
  • Applies Pythagoras' theorem, trigonometric relationships, the sine rule, the cosine rule, and the area rule to solve problems, including problems involving three dimensions.

Equations and Inequalities

  • Solves linear and simple quadratic equations using analytical and graphical techniques
  • Solves complex linear, quadratic, simple cubic and simultaneous equations
  • Rearranges literal equations

Geometry

  • Calculates the areas of composite shapes
  • Calculates the surface areas of rectangular and triangular prisms
  • Calculates the surface areas of right prisms, cylinders and related composite solids
  • Calculates the volumes of composite solids composed of right prisms and cylinders
  • Calculates the volumes of right pyramids, right cones, spheres and related composite solids

Proportion

  • Recognises direct and indirect proportion
  • Solves problems involving direct proportion

Graphs

  • Draws, interprets and analyses graphs of physical phenomena

Trigonometry

  • Applies trigonometry to solve problems involving angles of elevation and depression
  • Applies trigonometry to solve problems involving bearings
  • Uses Pythagoras' theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems
  • Solves problems involving three dimensions

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