Cambridge IGCSE Mathematics Paper 2

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.

10, 4, 5, 4 Signup and view all the answers

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

54 degrees Signup and view all the answers

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

0.85 Signup and view all the answers

What is the column vector representation of AB?

(4, 3) Signup and view all the answers

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

Positive correlation Signup and view all the answers

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

-2, 1, 6 Signup and view all the answers

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

3^(n-1) Signup and view all the answers

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

(4, 3) Signup and view all the answers

What is the area of trapezium PQRS?

21.04 cm² Signup and view all the answers

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

1/3 Signup and view all the answers

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

14 Signup and view all the answers

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

287° 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?

107 seconds Signup and view all the answers

What describes the transformation from triangle A to triangle B?

Translation Signup and view all the answers

What is the mean height of the 200 people measured?

128.5 cm Signup and view all the answers

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

14x^3 Signup and view all the answers

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

1900 m Signup and view all the answers

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

13.56 cm² Signup and view all the answers

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

5/9 Signup and view all the answers

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

12x^3j 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?

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

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

Graph representing cos function. Signup and view all the answers

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

x = 72° or x = 288° Signup and view all the answers

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

a = 16, b = -8 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.

0.675 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)?

y = -3x + 19 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.

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.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

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.