Trapezoidal Rule (HSC SSCE Mathematics Standard): Quizzes

📚Quizzes
Trapezoidal Rule
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

What is the primary purpose of the trapezoidal rule?

Estimate area of irregular boundaries

What is the trapezoidal rule formula?

A=h2(df+dl)A = \frac{h}{2}(d_f + d_l)

In the formula A=h2(df+dl)A = \frac{h}{2}(d_f + d_l), what does hh represent?

Perpendicular width between parallel sides

What do the subscripts 'f' and 'l' in dfd_f and dld_l represent?

First and last

When is the trapezoidal rule particularly useful?

Shapes with irregular boundaries

How do the trapezium and trapezoidal rule formulas differ?

Only variable names differ

For h=36h = 36 m, df=20d_f = 20 m, dl=22d_l = 22 m, what is the area?

756 m²

Why does applying the rule multiple times improve accuracy?

Reduces effect of irregular boundary

In two applications, what must dld_l of section 1 equal?

dfd_f of section 2

For two sections with h=18h = 18 cm: (1) df=22d_f = 22, dl=60d_l = 60; (2) df=60d_f = 60, dl=48d_l = 48. Total area?

1710 cm²

Join 100,000+ SSCE students studying Quizzes with us.

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