15 Questions
What type of equations does MA5.2-8NA solve using analytical and graphical techniques?
Linear and simple quadratic equations
What is the focus of MA5.1-8MG in terms of geometry?
Calculating the areas of composite shapes
What type of proportion does MA5.2-5NA recognise and solve problems involving?
Direct and indirect proportion
What does MA5.3-4NA involve in terms of graph analysis?
Drawing, interpreting and analysing graphs of physical phenomena
What type of trigonometry does MA5.1-10MG apply to solve problems?
Trigonometry with diagrams
What does MA5.2-13MG apply to solve problems involving bearings?
Trigonometry
What does MA5.3-15MG apply to solve three-dimensional problems?
Pythagoras' theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule
What does MA5.2-12MG apply to calculate the volumes of composite solids?
Formulas for right prisms and cylinders
What is the primary method used to solve linear and simple quadratic equations?
Analytical techniques
What is the purpose of calculating the surface areas of rectangular and triangular prisms?
To apply formulas to real-world problems
What is the role of Pythagoras' theorem in problem-solving?
To solve problems involving right-angled triangles
What is the focus of solving simultaneous equations?
To solve problems involving complex linear equations
What is the relationship between trigonometry and angles of elevation and depression?
Trigonometry is used to solve problems involving angles of elevation and depression
What is the purpose of recognising direct and indirect proportion?
To solve problems involving ratios and proportions
What is the role of formulas in calculating the volumes of composite solids?
To apply formulas to calculate the volumes of composite solids
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
Test your skills in solving linear and quadratic equations, linear inequalities, and geometric calculations, including areas and surface areas of various shapes.
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