National 5 Mathematics SQA
Full course content, a smart revision plan and instant past paper feedback for National 5 Mathematics SQA.
Content Overview
54 topics in 6 modules
βοΈ Numerical Skills 7 topics
- Fractions
- Rounding
- Percentages
- Compound Growth and Decay
- Reverse Percentages
- The Laws of the Indices
- Scientific Notation
βοΈ Simultaneous Equations 11 topics
- Understanding the concept of Simultaneous Equations
- Solving Simultaneous Equations Graphically
- Solving Simultaneous Equations Algebraically through Substitution
- Solving Simultaneous Equations Algebraically through Elimination
- Interpreting Solutions from Graphical Method
- Identifying Number of Solutions in Simultaneous Equations
- Implementing Simultaneous Equations in Word Problems
- Dealing with Fractions in Simultaneous Equations
- Application of Simultaneous Equations in Geometry Problems
- Recognising and Applying Patterns and Techniques
- Evaluating and Checking the solutions
βοΈ Algebraic skills 15 topics
- Expanding Brackets
- Factorising
- Solving Equations
- Inequalities
- Rearranging Formulas
- Functions and Straight Line Graphs
- Straight Line Graphs
- Factorising Quadratics
- The Quadratic Formula
- Completing the Square
- Quadratic Graphs
- Sketching Graphs
- The Discriminant
- Algebraic Functions
- Simultaneous Equations
βοΈ Geometric skills 10 topics
- Geometry
- Geometry Problems
- Circle Problems
- Similarity
- Arcs and Sectors
- Volume
- Using Similarity
- Pythagoras' Theorem
- 3D Coordinates
- Vectors
βοΈ Trigonometric skills 7 topics
- Trigonometric Graphs
- Trigonometry- Sin, Cos, Tan
- Related Angles
- Solving Trig Equations
- Trig Identities
- The Sine and Cosine Rules
- Trigonometry with Bearings
βοΈ Statistical skills 4 topics
- Mean, Median, Mode and Range
- Quartiles and Standard Deviation
- Comparing Data Sets
- Scattergraphs
National 5 Mathematics SQA Revision Content
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National 5 Mathematics SQA - Numerical Skills - Fractions Content Preview
Numerical Skills
Fractions
Fractions
Basics of Fractions
- A fraction is a way of expressing a quantity as a part of a whole.
- It is written as two numbers separated by a slash (/). The number above is the numerator and below is the denominator.
- The numerator represents how many parts we have.
- The denominator shows how many equal parts the whole is divided into.
Simplifying Fractions
- Simplify a fraction by finding the largest number that divides both the numerator and denominator (the greatest common divisor).
- Divide both the numerator and the denominator by this number to get the simplified fraction.
Adding and Subtracting Fractions
- To add or subtract fractions, they must have the same denominator (be common fractions).
- If they do not, find the least common multiple (LCM) of the denominators and convert the fractions.
- The resultant fraction should be simplified, if possible.
Multiplying Fractions
- To multiply fractions, multiply the numerators together for the new numerator.
- Then, multiply the denominators together for the new denominator.
- The resultant fraction should be simplified, if possible.
Dividing Fractions
- To divide fractions, multiply the first fraction by the reciprocal of the second (flip the numerator and denominator of the second fraction).
- That is, if you are dividing a/b by c/d, the result is (a/b) * (d/c).
- The resultant fraction should be simplified, if possible.
Decimal to Fraction Conversion
- To convert a decimal to a fraction, identify the place value of the last digit (for example, hundredths place for 0.02).
- Use this to write the decimal as a fraction (0.02 = 2/100).
- Simplify this fraction, if possible.
Fraction to Decimal Conversion
- To convert a fraction to a decimal, divide the numerator by the denominator using long division method.
Question: What is the result when the fraction 3/4 is divided by 2/3?
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