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

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## Question 1

MCQ▾

### Choices

Choice (4)

a.

b.

0

c.

d.

Question does not provide sufficient data or is vague

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 ________

Choice (4)

a.

b.

c.

0

d.

2

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 ________

Choice (4)

a.

b.

c.

π

d.

0

a.

### Explanation

Some Properties of Definite Integrals:

## Question 4

### Question

MCQ▾

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

Choice (4)

a.

Sq. unit

b.

Sq. unit

c.

Sq. unit

d.

Sq. unit

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

and

and

Intersection points

Consider

Put

From (1) ,

Sq. unit

## Question 5

### Question

MCQ▾

The minimum value of will be at equal to

Choice (4)

a.

b.

c.

d.

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,

Developed by: