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Updated Mar 20, 2026

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GCSE Maths 2023: Higher Tier Inequalities and Quarter Circle Area - Non Calculator Revision

Leela Williams

@leelailliams_oxml

This document covers Higher tier maths inequalities revision questionsand... Show more

$# α # h # r # V # 80 # M # t # 8 # e # ϊ # in HIGHER TIER MATHS PI REVISION FOR MOCK NOV 2023 Solve the inequalities: 1) $4x-7\geq5$ Add$

Higher Tier Maths Pi Revision for Mock Nov 2023

The first section deals with solving inequalities. Four different inequality problems are presented, each with a step-by-step solution. These questions test students' ability to manipulate algebraic expressions and understand the concept of inequalities.

Example: In the first inequality, 4x - 7 ≤ 5, the solution process involves adding 7 to both sides, resulting in 4x ≤ 12, and then dividing both sides by 4 to get x ≤ 3.

The second part of the worksheet focuses on circle geometry, specifically calculating the area of a quarter circle. This question requires students to apply their knowledge of the formula for the area of a circle and adapt it for a quarter circle.

Highlight: The area of a circle formula is given as Area = πr², which is crucial for solving the quarter circle problem.

Example: For a quarter circle with radius 8cm, the area is calculated as (1/4) × π × 8² = 16π cm².

The worksheet emphasizes leaving the answer in terms of π, which is an important skill for Higher tier maths inequalities revision.

Vocabulary: "In terms of π" means expressing the final answer with π as a factor, rather than using a decimal approximation.

The final question returns to inequalities, this time involving a more complex expression: 5 $2h + 8$ < 60. This problem tests students' ability to solve multi-step inequalities, requiring them to distribute the 5 and then isolate the variable h.

This revision material is excellent preparation for GCSE maths Non Calculator Higher questions, covering key topics that are likely to appear in exams.

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Updated Mar 20, 2026

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1 page

GCSE Maths 2023: Higher Tier Inequalities and Quarter Circle Area - Non Calculator Revision

Leela Williams

@leelailliams_oxml

This document covers Higher tier maths inequalities revision questions and related topics for a mock exam preparation. It includes solving inequalities, calculating the area of a quarter circle, and working with non-calculator problems.

The worksheet focuses on GCSE Maths inequalities... Show more

$# α # h # r # V # 80 # M # t # 8 # e # ϊ # in HIGHER TIER MATHS PI REVISION FOR MOCK NOV 2023 Solve the inequalities: 1) $4x-7\geq5$ Add$

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Higher Tier Maths Pi Revision for Mock Nov 2023

This page presents a series of Higher tier maths inequalities revision questions along with solutions, as well as a problem involving the area of a quarter circle. The questions are designed for Non calculator mock exam preparation 2023 gcse.

The first section deals with solving inequalities. Four different inequality problems are presented, each with a step-by-step solution. These questions test students' ability to manipulate algebraic expressions and understand the concept of inequalities.

Example: In the first inequality, 4x - 7 ≤ 5, the solution process involves adding 7 to both sides, resulting in 4x ≤ 12, and then dividing both sides by 4 to get x ≤ 3.

The second part of the worksheet focuses on circle geometry, specifically calculating the area of a quarter circle. This question requires students to apply their knowledge of the formula for the area of a circle and adapt it for a quarter circle.

Highlight: The area of a circle formula is given as Area = πr², which is crucial for solving the quarter circle problem.

Example: For a quarter circle with radius 8cm, the area is calculated as (1/4) × π × 8² = 16π cm².

The worksheet emphasizes leaving the answer in terms of π, which is an important skill for Higher tier maths inequalities revision.

Vocabulary: "In terms of π" means expressing the final answer with π as a factor, rather than using a decimal approximation.

The final question returns to inequalities, this time involving a more complex expression: 5 $2h + 8$ < 60. This problem tests students' ability to solve multi-step inequalities, requiring them to distribute the 5 and then isolate the variable h.

This revision material is excellent preparation for GCSE maths Non Calculator Higher questions, covering key topics that are likely to appear in exams.