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GCSE OCR 2028 Maths Paper 5 Higher - Practice, Mark Scheme, and Answers

14/05/2023

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
<ul>
<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
<li>Allowed tools: geometrical instruments, tracing;

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<h2 id="instructions">Instructions</h2>
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<li>Time allowed: 1 hour 30 minutes</li>
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<h2 id="instructions">Instructions</h2>
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<h2 id="instructions">Instructions</h2>
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<h2 id="instructions">Instructions</h2>
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<li>Allowed tools: geometrical instruments, tracing;

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Instructions

  • Time allowed: 1 hour 30 minutes
  • Allowed tools: geometrical instruments, tracing; not allowed: a calculator
  • Use black ink for writing and an HB pencil for graphs and diagrams
  • Complete the boxes with your name, centre number, and candidate number
  • Answer all the questions and ensure to support your answers with working where necessary

Information

  • Total mark for this paper: 100
  • Marks for each question are shown in brackets
  • This document consists of 20 pages

Questions

  1. Calculate the sum of 3 5 + 5 8
  2. Work out the value of 2 in standard form
  3. Is Gemma's solution to an inequality correct? Explain.
  4. Nutritional information for a serving of cereal. Is the claim about carbohydrate percentage correct?
  5. Relative frequencies of the results for a football team after a number of games. Complete the table and calculate the total number of games played.
  6. Jack sent 15% more text messages in March than in February. Calculate the difference in the number of texts sent.
  7. Calculating the total cost of tiles and fitting for a room using given dimensions and prices.
  8. Reasons for not using a tree diagram for displaying possible outcomes, and calculating the probability of specific scores on two dice.
  9. Completing a table and graphing an equation, then solving a related equation using the graph
  10. Calculating the distance traveled on a full tank of fuel, and stating the assumption made in the calculation
  11. Working out the length of a side in a right-angled triangle using given information
  12. Correcting an error in a value conversion and writing a decimal as a fraction
  13. Solving for the radius of a cone given the volume and the ratio between its radius and height
  14. Proving a mathematical expression is a multiple of 6 for a positive integer
  15. Calculating angles in a circle using given information
  16. Finding the values of constants in a polynomial equation

This practice paper provides a wide range of problems for students preparing for the GCSE OCR Maths Paper 5 (Higher) exam. It tests various mathematical concepts and skills, including arithmetic, algebra, geometry, and statistics. Students are encouraged to work through the questions and utilize the provided space for solving each problem thoroughly. Good luck with your preparation!

Summary - Maths

  • OCR GCSE Mathematics Paper 5 (Higher Tier) is a practice paper for the GCSE OCR Maths Paper 5 (Higher) exam
  • The paper consists of a variety of mathematical problems covering arithmetic, algebra, geometry, and statistics
  • Students are required to solve problems without the use of a calculator
  • The paper contains 16 questions with a total mark of 100
  • It is important for students to show their working when answering the questions to demonstrate their understanding of mathematical concepts.

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Frequently asked questions on the topic of Maths

Q: Calculate the sum of 3 5 + 5 8

A: The sum of 3 5 + 5 8 is 34/40, which can be simplified to 17/20 or 0.85 in decimal form.

Q: Work out the value of 2 in standard form

A: The value of 2 in standard form is 2.00 x 10^0, as the standard form of 2 is a x 10^n, where 1 ≤ a < 10 and n is an integer.

Q: Is Gemma's solution to an inequality correct? Explain.

A: Gemma's solution to the inequality needs to be reviewed to determine if it is correct. A step-by-step analysis of her solution is necessary to provide a conclusive explanation.

Q: Nutritional information for a serving of cereal. Is the claim about carbohydrate percentage correct?

A: To assess the claim about carbohydrate percentage, the provided nutritional information must be carefully examined and compared to the claim in order to determine its accuracy.

Q: Relative frequencies of the results for a football team after a number of games. Complete the table and calculate the total number of games played.

A: To complete the table of relative frequencies and calculate the total number of games played, the given data needs to be organized and analyzed accordingly to obtain the required information.

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