logo Mon, 23 Dec 2024 11:07:20 GMT

National 5 Maths


Synopsis


Exam Board: SQA
Level: National 5
Subject: Maths

Two books in one! Combining a revision guide and a full set of practice test papers, this fantastic resource is all you need to revise for the exam.

The revision guide
 Covers all of the topics in the CfE National 5 Maths curriculum, broken down into manageable chunks for easy revision
 Clearly explains key concepts, research evidence and real-life applications
 Contains Quick Tests to let students check their knowledge and understanding as they go along

The practice test papers
 Are in the format and the style of the SQA exam, giving students an opportunity to practice taking the National 5 Maths exam
 Marking instructions and sample answers are provided online, so students can check their progress

Ken Nisbet

Summary

Chapter 1: Number

* 1.1 Number Lines and Inequalities: Reading and representing numbers on number lines; comparing numbers using inequalities.
* 1.2 Decimal Notation: Converting between decimal and other number forms (e.g., fractions, percentages); rounding and estimating.
* 1.3 Operations with Whole Numbers: Addition, subtraction, multiplication, and division of whole numbers; order of operations.
* Example: Find the value of 3x(5-2) = 3x3 = 9.

Chapter 2: Algebra

* 2.1 Expressions and Equations: Evaluating algebraic expressions; solving simple linear equations.
* 2.2 Formulae: Using and solving formulae, including those for perimeter, area, and volume.
* 2.3 Functions: Representing and analyzing functions; evaluating functions and finding domain and range.
* Example: Solve the equation 2x + 5 = 11 for x: x = 3.

Chapter 3: Geometry

* 3.1 Properties of Shapes: Identifying and classifying plane and solid shapes based on their properties (e.g., angles, sides, vertices).
* 3.2 Measurement: Calculating the perimeter, area, and volume of different shapes.
* 3.3 Symmetry and Transformations: Identifying and performing transformations on shapes, such as rotations, reflections, and translations.
* Example: Find the area of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm: A = 2(5x3) + 2(5x2) = 32 cm².

Chapter 4: Statistics

* 4.1 Data Handling: Collecting, organizing, and presenting data using tables, graphs, and summary measures.
* 4.2 Statistical Measures: Calculating measures of central tendency (e.g., mean, median, mode) and dispersion (e.g., range, standard deviation).
* 4.3 Probability: Understanding basic principles of probability, including events, sample spaces, and odds.
* Example: A box contains 10 red balls and 5 blue balls. If you draw one ball at random, the probability of drawing a red ball is 10/15 = 0.67.

Chapter 5: Information Technologies

* 5.1 Data Representation: Understanding different ways to represent data, including text, numbers, images, and sound.
* 5.2 Communication: Using computers and networks to communicate and exchange information.
* 5.3 Problem Solving: Applying computational thinking to solve problems and automate tasks.
* Example: Use a spreadsheet to calculate the total cost of a shopping list, including the cost of each item and applicable taxes.