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.
