Free Printable The Trapezium Rule

1.

Which among the following is true?

a)

Trapezium rule will give an estimate or approximate area under a curve.

b)

Trapezium rule is used to get an exact area under a curve

2.

Which among the following is true?

a)

The trapezium rule works by splitting the area under a curve into a number of trapeziums of unequal width.

b)

The trapezium rule works by splitting the area under a curve into a number of trapeziums of equal width.

3.

In the trapezium rule, h =?

\int_a^bf\left(x\right)dx=\frac{1}{2}h\left[y_o+2\left\{y_1+y_2+..y_n-1\right\}+y_n\right]

a)

$h=\frac{upper\ \lim it+lower\ \lim it}{no:\ of\ intervals}$

b)

$h=\frac{upper\ \lim it\ -\ lower\ \lim it}{no:of\ intervals}$

c)

$h=\frac{lower\ \lim it\ -\ upper\ \lim it}{2}$

4.

Which of the following is true when using the Trapezium Rule?

(Tick as many as appropriate)

a)

The upper limit is the highest value of x

b)

The number of ordinates is 1 less than the number of strips

c)

The number of strips is 1 less than the number of ordinates

d)

The height of each strip is the difference in the x-values.

e)

The height of each strip is the average of the x-values.

5.

If there are five strips, then there must be four ordinates.

a)

False

b)

True

6.

If there are nine ordinates, then there must be eight strips.

a)

True

b)

False

7.

Which of the following is true in the Trapezium Rule formula?

a)

The height h represents the difference between the x-values

b)

The ordinates can be obtained by integrating the function

c)

The first two ordinates are doubled

d)

The area under the curve is exact

The Trapezium Rule

Total questions: 7

Worksheet time: 5mins

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