Cambridge IGCSE Mathematics 0580/42 Past Paper from October/November 2021 provides students with a comprehensive assessment of their mathematical skills. This exam paper includes a variety of questions covering topics such as algebra, geometry, statistics, and more, aimed at preparing students for their IGCSE examinations. It is an essential resource for learners aiming to excel in their mathematics coursework and improve their exam techniques. Ideal for students and educators looking for practice materials aligned with the IGCSE curriculum.

Key Points

  • Includes a variety of mathematical problems across different topics.
  • Designed for students preparing for the Cambridge IGCSE Mathematics exam.
  • Covers key areas such as algebra, geometry, and statistics.
  • Helps students practice exam techniques and improve their problem-solving skills.
Matthew Abel
20 pages
Language:English
Type:Past Paper
Matthew Abel
20 pages
Language:English
Type:Past Paper
76
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This document has 20 pages. Any blank pages are indicated.
Cambridge IGCSE
DC (PQ/SG) 212506/3
© UCLES 2021 [Turn over
*8048931246*
MATHEMATICS 0580/42
Paper 4 (Extended) October/November 2021
2 hours 30 minutes
You must answer on the question paper.
You will need: Geometrical instruments
INSTRUCTIONS
Answer all questions.
Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
Write your name, centre number and candidate number in the boxes at the top of the page.
Write your answer to each question in the space provided.
Do not use an erasable pen or correction fluid.
Do not write on any bar codes.
You should use a calculator where appropriate.
You may use tracing paper.
You must show all necessary working clearly.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.
For
r, use either your calculator value or 3.142.
INFORMATION
The total mark for this paper is 130.
The number of marks for each question or part question is shown in brackets [ ].
2
0580/42/O/N/21© UCLES 2021
1 (a) Malena has 450 fruit trees.
The fruit trees are in the ratio apple : pear : plum = 8 : 7 : 3.
(i) Show that Malena has 200 apple trees.
[2]
(ii) Find the number of plum trees.
................................................. [1]
(iii) Malena wants to increase the number of pear trees by 32%.
Calculate the number of extra pear trees she needs.
................................................. [2]
(iv) Each apple tree produces 48.5 kg of apples.
The apples have an average mass of 165 g each.
Calculate the total number of apples produced by the 200 trees.
Give your answer correct to the nearest 1000 apples.
................................................. [3]
3
0580/42/O/N/21© UCLES 2021 [Turn over
(b) Malena’s land is valued at three million and seventy-five thousand dollars.
(i) Write this number in figures.
................................................. [1]
(ii) Write your answer to part (b)(i) in standard form.
................................................. [1]
(c) In 2020, each plum tree produced 37.7 kg of plums.
This was 16% more than in 2019.
Calculate the mass of plums produced by each plum tree in 2019.
............................................. kg [2]
(d) Malena invests $1800 at a rate of 2.1% per year compound interest.
Calculate the value of her investment at the end of 15 years.
$ ................................................. [2]
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FAQs

what topics are covered in Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

The Cambridge IGCSE Mathematics 0580/42 past paper from October/November 2021 covers a variety of essential mathematical topics.

  • Algebra: including equations, inequalities, and sequences.
  • Geometry: focusing on properties of shapes, angles, and area calculations.
  • Statistics: covering data interpretation and analysis.
  • Probability: exploring basic probability concepts and calculations.
  • Measurement: including units, conversions, and practical applications.

what is the format of Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

The format of the Cambridge IGCSE Mathematics 0580/42 past paper is structured to assess a range of mathematical skills.

  • Duration: The paper lasts for 2 hours and 30 minutes.
  • Question Types: It includes a mix of multiple-choice, short answer, and extended response questions.
  • Marking: The total mark for this paper is 130, with each question having a specific mark allocation.
  • Instructions: Students are required to show all necessary working and to answer all questions.

how to prepare for Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

Preparing for the Cambridge IGCSE Mathematics 0580/42 past paper involves several effective strategies.

  • Review Past Papers: Practice with previous years' papers to familiarize yourself with the question formats and difficulty levels.
  • Understand the Syllabus: Ensure you are aware of all topics covered in the syllabus and focus on weaker areas.
  • Use Study Guides: Utilize textbooks and online resources that align with the IGCSE curriculum.
  • Practice Regularly: Regular practice with timed conditions can help improve speed and accuracy.
  • Seek Help: If needed, consider joining study groups or seeking assistance from teachers or tutors.

what are the key formulas for Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

Key formulas for the Cambridge IGCSE Mathematics 0580/42 past paper are essential for solving various problems.

  • Area of a triangle: A = 1/2 × base × height
  • Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
  • Circumference of a circle: C = 2πr
  • Volume of a cylinder: V = πr²h
  • Pythagorean theorem: a² + b² = c²

what are the common mistakes in Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

Common mistakes in the Cambridge IGCSE Mathematics 0580/42 past paper can hinder performance.

  • Misreading Questions: Carefully read questions to avoid misunderstanding what is being asked.
  • Calculation Errors: Double-check calculations to minimize arithmetic mistakes.
  • Ignoring Units: Always include appropriate units in answers, especially in geometry and measurement questions.
  • Not Showing Work: Failing to show working can lead to lost marks, even if the final answer is correct.
  • Time Management: Practice pacing to ensure all questions can be answered within the time limit.

what is the grading scale for Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

The grading scale for the Cambridge IGCSE Mathematics 0580/42 past paper is based on a letter system.

  • Grades range from A* (highest) to G (lowest).
  • A grade of U indicates ungraded performance.
  • Each grade corresponds to a specific range of marks, with A* typically requiring a score above 90%.
  • Students are assessed on their understanding and application of mathematical concepts.

how to analyze the Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

Analyzing the Cambridge IGCSE Mathematics 0580/42 past paper can help identify strengths and weaknesses.

  • Review Answers: After completing the paper, check answers against the marking scheme.
  • Identify Patterns: Look for recurring types of questions or topics that may require more practice.
  • Assess Timing: Evaluate how long it took to answer each section to improve time management.
  • Seek Feedback: Discuss answers with teachers or peers to gain insights on mistakes.

what are the best resources for Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

Several resources can enhance preparation for the Cambridge IGCSE Mathematics 0580/42 past paper.

  • Official Cambridge Resources: Utilize materials provided by Cambridge Assessment.
  • Textbooks: Refer to IGCSE mathematics textbooks that cover the syllabus comprehensively.
  • Online Platforms: Websites like Khan Academy and others offer tutorials and practice exercises.
  • Study Groups: Joining study groups can provide collaborative learning opportunities.
  • Revision Guides: Use revision guides specifically designed for IGCSE mathematics.

what is the importance of practice in Cambridge IGCSE Mathematics 0580/42 past paper October/November 2021

Practice is crucial for success in the Cambridge IGCSE Mathematics 0580/42 past paper.

  • Improves Understanding: Regular practice helps solidify understanding of mathematical concepts.
  • Builds Confidence: Familiarity with question types reduces anxiety during the actual exam.
  • Enhances Speed: Timed practice can improve speed and efficiency in answering questions.
  • Identifies Weaknesses: Regularly practicing can highlight areas that need further review.
  • Prepares for Exam Conditions: Simulating exam conditions can help students adapt to the pressure of timed assessments.