Cambridge IGCSE Mathematics Paper 2
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Questions and Answers

How many hours and minutes does the night bus run?

5 hours 28 minutes

What is the result of 5.76 + 2.83?

8.59

What is the simplified form of 4m + 7k - m + 3k?

3m + 10k

For a cuboid with length 10 cm, width 4 cm, and height 5 cm, write down the values of a, b, c and d.

<p>10, 4, 5, 4</p> Signup and view all the answers

What is the angle of the sector for blue cars in a pie chart?

<p>54 degrees</p> Signup and view all the answers

What is the probability that a randomly picked car is not blue?

<p>0.85</p> Signup and view all the answers

What is the column vector representation of AB?

<p>(4, 3)</p> Signup and view all the answers

What type of correlation does the increase in temperature and number of people swimming describe?

<p>Positive correlation</p> Signup and view all the answers

What are the first three terms of the sequence given by the nth term n^2 - 3?

<p>-2, 1, 6</p> Signup and view all the answers

What is the nth term of the sequence: 1, 3, 9, 27, 81?

<p>3^(n-1)</p> Signup and view all the answers

What are the coordinates of point P where the lines y = 2x - 5 and y = 3 intersect?

<p>(4, 3)</p> Signup and view all the answers

What is the area of trapezium PQRS?

<p>21.04 cm²</p> Signup and view all the answers

What is the answer to 1 - 4/6 without using a calculator?

<p>1/3</p> Signup and view all the answers

How many times does Farid expect the spinner to land on C when spun 40 times?

<p>14</p> Signup and view all the answers

What is the bearing of A from B if the bearing of B from A is 107°?

<p>287°</p> Signup and view all the answers

How long will it take for a train 1750 meters long traveling at 55 km/h to cross a 480 meter long bridge?

<p>107 seconds</p> Signup and view all the answers

What describes the transformation from triangle A to triangle B?

<p>Translation</p> Signup and view all the answers

What is the mean height of the 200 people measured?

<p>128.5 cm</p> Signup and view all the answers

Find the highest common factor (HCF) of 28x^5 and 98x^3.

<p>14x^3</p> Signup and view all the answers

What is the total distance travelled by the bus from the speed-time graph?

<p>1900 m</p> Signup and view all the answers

What is the area of triangle ABC given the side lengths and angle?

<p>13.56 cm²</p> Signup and view all the answers

What is the value of h in the equation 5/3 = 3h?

<p>5/9</p> Signup and view all the answers

What is the simplification of `4x^3j * 3?

<p>12x^3j</p> Signup and view all the answers

If y is inversely proportional to the square of (x + 3), when x = 5, y = 0.375, what is y in terms of x?

<p>y = 0.375/(x + 3)²</p> Signup and view all the answers

Sketch the graph of y = cos x for 0° ≤ x ≤ 360°.

<p>Graph representing cos function.</p> Signup and view all the answers

Solve the equation cos x = 0.294 for 0° ≤ x ≤ 360°.

<p>x = 72° or x = 288°</p> Signup and view all the answers

For x² - 16x + a = (x + b)², find the values of a and b.

<p>a = 16, b = -8</p> Signup and view all the answers

Calculate the probability that two buttons drawn from a bag with 2 green, 5 red, and 6 blue are different colors.

<p>0.675</p> Signup and view all the answers

What is the equation of the perpendicular bisector of line segment AB with points (6, 1) and (2, 7)?

<p>y = -3x + 19</p> Signup and view all the answers

Study Notes

Cambridge IGCSE Mathematics Overview

  • Exam Code: 0580/22
  • Session: February/March 2024
  • Duration: 1 hour 30 minutes
  • Total Marks: 70

Instructions

  • Answer all questions on the question paper.
  • Use a black or dark blue pen and HB pencil for diagrams.
  • Essential to show all working clearly; round numerical answers to specified accuracy.
  • Tracing paper is allowed; calculators may be used.

Key Topics Covered

  • Time Calculation: Determine the duration of a night bus route (21:50 to 05:18 next day).
  • Basic Arithmetic: Addition of decimal numbers (e.g., 5.76 + 2.83).
  • Algebra: Simplification of expressions (e.g., 4m + 7k - m + 3k).

Geometry

  • Calculate dimensions of a cuboid (length 10 cm, width 4 cm, height 5 cm).
  • Area calculation for various shapes like trapeziums and triangles.

Statistics & Probability

  • Construct pie charts using car park data and calculate probabilities (e.g., non-blue cars).
  • Mean height estimation from frequency distributions.

Vectors & Coordinates

  • Express a segment as a column vector (e.g., AB).
  • Use coordinate geometry to determine lines of intersection and transformations.

Sequences & Series

  • Identify nth terms in sequences, including quadratic sequences and geometric growth.

Trigonometry

  • Explore transformations and apply trigonometric functions, such as cosine graphs.

Bearing & Navigation

  • Understanding bearings, calculating positions and directions between points (e.g., from A to B).

Speed, Distance, & Time

  • Solve practical problems involving speed, such as calculating the time taken for a train to cross a bridge.

Inversely Proportional Relationships

  • Analyze relationships where one variable is inversely proportional to the square of another.

Algebraic Manipulation

  • Factorization of quadratic expressions and simplification of powers and products.

Probability of Events

  • Calculate odds for drawing buttons of different colors from a mixed set.

Line Equations & Geometry

  • Determine the equation of the perpendicular bisector based on given points in a coordinate system.

Exam Preparation Tips

  • Familiarize with the structure and timing of the exam.
  • Review key concepts in geometry, algebra, and statistics.
  • Practice using past papers for time management and proficiency.

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Description

Prepare for your Cambridge IGCSE Mathematics 0580/22 Paper 2 Extended exam with this comprehensive quiz. Test your knowledge and skills across various mathematical concepts in a timed setting, designed to mimic the actual examination. Ideal for students looking to excel in their IGCSE studies.

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