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Nat 5 Maths: Prelim Revision, Past Papers, and Formula Sheets
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Nat 5 Maths: Prelim Revision, Past Papers, and Formula Sheets

 

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Revision note

This comprehensive guide covers essential National 5 maths prelim revision questions and answers, providing a valuable resource for students preparing for their exams. The document includes a formula list, non-calculator questions, and calculator-based problems, covering a wide range of Nat 5 Maths topics.

Key features:
• Detailed formulae list for quick reference
• Non-calculator and calculator sections
• Variety of question types covering algebra, geometry, and trigonometry
• Step-by-step solutions provided for all questions
• Ideal for exam preparation and topic revision

09/08/2022

1024

Formulae List and Paper A (Non-Calculator)

The document begins with a comprehensive Nat 5 maths formula sheet, providing essential equations for algebra, trigonometry, and geometry. This serves as a quick reference for students during their revision.

Highlight: The formulae list includes key equations such as the quadratic formula, trigonometric ratios, and volume calculations for various 3D shapes.

Paper A focuses on non-calculator questions, covering a range of algebraic and geometric topics. Students are challenged with problems involving factorization, simplification, expansion, and solving equations.

Example: Question 1 asks students to factorise expressions like 4x² - 81 and x² - x - 6, reinforcing fundamental algebraic skills.

The paper progresses to more complex topics, including: • Changing the subject of formulae • Expressing quadratic equations in completed square form • Simplifying surds and rationalizing denominators • Solving inequalities • Manipulating algebraic fractions

Vocabulary: Rationalizing the denominator refers to the process of eliminating surds from the denominator of a fraction.

MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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Paper A (Calculator)

This section introduces calculator-based questions, allowing students to tackle more complex numerical problems. The questions cover a diverse range of Nat 5 Maths topics, including:

  1. Solving quadratic equations to decimal places
  2. Calculating arc lengths and sector areas
  3. Finding equations of lines
  4. Applying trigonometry in right-angled and non-right-angled triangles
  5. Working with scientific notation
  6. Interpreting graphs of quadratic functions
  7. Calculating volumes of composite 3D shapes

Definition: Scientific notation is a way of expressing very large or very small numbers using powers of 10.

The questions progressively increase in difficulty, challenging students to apply multiple concepts within a single problem. For example, question 10 combines knowledge of hemispheres and cones to calculate the volume of a composite shape.

Example: Question 7 asks students to calculate the total number of platelets in a person's blood, combining scientific notation with unit conversions.

These questions provide excellent practice for students preparing for their National 5 Maths prelim, as they closely mirror the types of problems encountered in actual exams.

MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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Answers and Solutions

The document concludes with a comprehensive answer key for both the non-calculator and calculator sections. This allows students to check their work and understand the correct approach to each problem.

Highlight: Providing detailed solutions helps students identify areas where they may need additional practice or clarification.

The answers are presented clearly, with step-by-step solutions for more complex problems. This format is particularly useful for students working through Nat 5 Maths Past Papers independently, as it allows them to understand the reasoning behind each solution.

Quote: "Paper A Non-Calculator ANSWERS" and "Paper A Calculator" sections provide quick reference points for students to locate specific solutions.

By working through these questions and studying the provided solutions, students can effectively prepare for their National 5 maths prelim, gaining confidence in their problem-solving skills across a wide range of mathematical concepts.

MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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MATHEMATICS
N5
Prelim
Revision
(with answers) FORMULAE LIST
The roots of:
Sine Rule:
Cosine Rule:
Area of a triangle:
Volume of a sphere:
Vo

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