IGCSE Mathematics 0580/12 Paper 1 (Core) Quiz

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Questions and Answers

What is the value of x if 2x^2 - 5x + 3 = 0?

x = 1 or x = 1.5 (correct)
x = 3 or x = 0.5
x = -3 or x = -0.5
x = 2 or x = 1.5

If $f(x) = 3x^2 - 7x + 2$, what are the x-coordinates of the turning points of the graph of f?

x = 1 and x = 2 (correct)
x = -3 and x = 1
x = 3 and x = -2
x = 2 and x = -1

What is the value of y when x = 2 in the equation $y = 4x^2 - 3x + 5$?

y = 17 (correct)
y = 15
y = 21
y = 11

If the perimeter of a rectangle is 30 cm and its length is 3 times its width, what are the dimensions of the rectangle?

<p>Length = 12 cm, Width = 6 cm (D)</p> Signup and view all the answers

What is the solution to the equation $2^{x+1} = 16$?

<p>x = 2 (C)</p> Signup and view all the answers

Study Notes

Quadratic Equations

A quadratic equation is given: 2x^2 - 5x + 3 = 0, where the value of x needs to be found.

Function Analysis

A quadratic function is defined: f(x) = 3x^2 - 7x + 2, and its turning points need to be found.
The x-coordinates of the turning points of the graph of f need to be determined.

Quadratic Expressions

A quadratic expression is given: y = 4x^2 - 3x + 5, and the value of y needs to be found when x = 2.

Geometry

A rectangle has a perimeter of 30 cm, and its length is 3 times its width, which means its dimensions need to be found.

Exponential Equations

An exponential equation is given: 2^{x+1} = 16, and the solution to this equation needs to be found.

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Description

Test your mathematical skills with this Cambridge IGCSE Mathematics 0580/12 Paper 1 (Core) quiz. This quiz is designed to challenge your understanding of core mathematical concepts and problem-solving abilities. Get ready to tackle questions on geometry, algebra, and more.