A-AS Level (CIE) Mathematics Paper-5: Specimen Questions with Answers 1 - 5 of 20

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Question 1

Question

MCQ▾

Choices

Choice (4)

a.

b.

0

c.

d.

Question does not provide sufficient data or is vague

Answer

b.

Explanation

Integral powers of

To compute for , we divide by and write it in the form , where is quotient and is remainder

Hence

This is G. P with first term and common ratio

Sum of terms in G. P is given by

Question 2

Question

MCQ▾

If , where then is ________

Choices

Choice (4)

a.

b.

c.

0

d.

2

Answer

d.

Explanation

Definite Integral by Parts:

, if is an odd function, i.e.. , if

is an odd function

Question 3

Question

MCQ▾

he value of the integral is ________

Choices

Choice (4)

a.

b.

c.

π

d.

0

Answer

a.

Explanation

Some Properties of Definite Integrals:

Question 4

Question

MCQ▾

The area of the region bounded by the circle and parabola is

Choices

Choice (4)

a.

Sq. unit

b.

Sq. unit

c.

Sq. unit

d.

Sq. unit

Answer

a.

Explanation

The area of the region enclosed between two curves and the lines is given by the formula,

Area where in

If in and in , then

Area

The Area of the Region Bounded by the Circle

and

and

Intersection points

Consider

Put

From (1) ,

Sq. unit

Question 5

Question

MCQ▾

The minimum value of will be at equal to

Choices

Choice (4)

a.

b.

c.

d.

Answer

c.

Explanation

Way 1:

Let

Coefficient of

Minimum value of will be at

i.e.. ,

OR

Way 2:

For minimum value, by differentiating we get,

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