Last updated on Oct 23, 2026

Trapezium Rule (Numerical Integration) (Edexcel A-Level Mathematics): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

Trapezium Rule (Numerical Integration)

Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

When rectangles have tops above the curve, what type of estimate do they give?

An overestimate

When rectangles have tops beneath the curve, what type of estimate do they give?

An underestimate

For positive convex curves, what estimate does the trapezium rule give?

An overestimate

In the trapezium rule formula, what multiplier is used for the middle $y$ -values?

$2$

How many ordinates are needed for 5 strips?

$6$

How can you improve the trapezium rule estimate?

Use more strips

For $\int_0^5 x^2 \, dx$ , what is the upper bound using rectangles above the curve?

$55$

For $\int_0^5 x^2 \, dx$ , what is the lower bound using rectangles below the curve?

$30$

In $\int_a^b f(x)\, dx$ as limit of rectangles, what does $h$ represent?

Rectangle width

Using trapezium rule on $y = x^2$ from $x = 0$ to $5$ with $h = 1$ , what is the result?

$\frac{85}{2}$

Explore Edexcel A-Level Mathematics Revision Notes by Topics

Solving Equations

Modelling involving Numerical Methods

Explore Edexcel A-Level Mathematics Model Answers by Topics

Solving Equations

Modelling involving Numerical Methods

Explore Edexcel A-Level Mathematics Flashcards by Topics

Solving Equations

Modelling involving Numerical Methods

Explore Edexcel A-Level Mathematics Exam Questions by Topics

Solving Equations

Modelling involving Numerical Methods

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.