CONFIDENTIAL22 MMM315

[ 100 MARKS ]

Answer All Questions

1.

(a)

In Diagram 1, and are straight lines.

Diagram 1

State

(i)

a transversal line.

Answer : ______________

(ii)

a pair of corresponding angles.

Answer : ______________

(iii)

a pair of alternate angles.

Answer : ______________

(iv)

a pair of interior angles.

Answer : ______________

4

(b)

In Diagram 2, and are straight lines.

Diagram 2

Find the value of .

Answer : ______________

3

2

(a)

The sum of the exterior angles of a decagon is

A.1440

B. 360

C.180

D.144

(b) Diagram 3 below shows a regular polygon.

Diagram 3

(i)

Name the polygon.

Answer : ______________

(ii)

State the number of axis of symmetry of the polygon.

Answer : ______________

(iii)

On the diagram in the answer space below, draw the axis of symmetry of the polygon..

Answer :

4

(b)

Given that, the size of interior angle of a regular polygon is .

(i)

Find the size of the exterior angle.

Answer : ______________

(ii)

Calculate the number of sides of the polygon.

Answer : ______________

3

(c)

Diagram 4shows a regular pentagon. is a straight line.

Diagram 4

The value of is

Answer : ______________

3

3.

(a)

Diagram 5 show a quadrilateral in a circle with center .

Diagram 5

State the value of

(i)

Answer : ______________

(ii)

Answer : ______________

(iii)

Answer : ______________

(iv)

Answer : ______________

4

(b)

In Diagram 6, is a circle with centre .

Diagram 6

Find the value of .

Answer : ______________

2

(c)

Diagram 7 shows a train carrying a ton of sand. Every three tires of the train are connected by a straight steel. Given that the distance between tires is and the radius of each tire is .

96 cm

Diagram 7

Calculate the total length, in , of the two straight steel.

Answer : ______________

3

4.

(a)

Diagram 8 shows the sales of different flavours of cookies in a particular week.

Chocolate

Peanut

Butter

Oatmeal

Lemon

Diagram 8

The number of chocolate cookies sold are .

(i)

Find .

Answer : ______________

(ii)

Calculate the number of lemon cookies sold.

Answer : ______________

(iii)

Find the ratio of peanut butter cookie to the difference of chocolate and lemon cookie.

Answer : ______________

7

(b)

Table 1 shows the number of greeting cards made by a group of students.

Number of cards

4

5

6

7

8

Number of students

2

4

8

10

6

Table 1.

(i)

Calculate the percentage number of students who can create more than 7 cards.

Answer : ______________

(ii)

Calculate the mean number of cards made by a student. Give your answer in decimal places.

Answer : ______________

(iii)

Calculate the median.

Answer : ______________

7

5.

(a)

Simplify

(i)

Answer : ______________

(ii)

Answer : ______________

(iii)

Answer : ______________

4

(b)

Find the value of

Answer : ______________

3

(c)

Given that . Find the value of .

Answer : ______________

3

6.

(a)

Expand each of the following:

(i)

Answer : ______________

(ii)

Answer : ______________

3

(b)

Factorise each of the following expression completely:

(i)

Answer : ______________

(ii)

Answer : ______________

(iii)

Answer : ______________

(iv)

Answer : ______________

6

(c)

Express as a single fraction in its simplest form.

Answer : ______________

2

(d)

Simplify

Answer : ______________

3

7.

(a)

(i)

Based on the above statement, state the variable.

Answer : ______________

(ii)

Given that

Express in terms of and .

Answer : ______________

4

(b)

There are a total of students signed up for a competition. On the day of the competition, there are only students can make it to the competition. The number of absentees are students.

(i)

Write a formula as is the subject.

Answer : ______________

(ii)

If and , find the value of .

Answer : ______________

4

8.

(a)

(i)

Diagram 9 shows a right circular cone with radius . given that the slant height of the cone is .

Diagram 9

Find the volume of the cone, in terms of.

Answer : ______________

(ii)

Diagram 10 shows a right prism with trapezium as its uniform cross section. Given that the volume of the prism is .

Diagram 10

Calculate the value of .

Answer : ______________

5

(b)

Diagram 11 shows a cylindrical container with radius . The cylindrical container is filled with of water.

Diagram 11

(i)

Convert the volume of water to .

Answer : ______________

(ii)

Find the height of the water, in

Answer : ______________

(iii)

When all spherical-shaped marbles are put into the cylindrical container, the height of the water increases to .

Findthe volume of one marble, in .

Answer : ______________

7

9.

(a)

The distance between two towns on a map is . If the scale used is , what is the actual distance, in , of the towns?

Answer : ______________

2

(b)

Diagram 12 shows a polygon drawn on a grid of equal squares with sides of 1 unit.

Diagram 12

On the grid in the answer space, redraw the polygon using the scale .

The grid has equal squares with sides of 1 unit.

Answer :

2

(c)

Diagram 13 shows a by picture brought by a teacher in a class. Ahmad is required to draw the picture on a scale of .

Diagram 13

(i)

Calculate the area of the drawing.

Answer : ______________

(ii)

If Ahmad draws a by picture, calculate the scale used by Ahmad.

Answer : ______________

4

10.

(a)

(i)

Diagram 14 shows hexagon on a square grid. is the image of under an enlargement.

Diagram 14

State the scale factor of the enlargement.

Answer : ______________

(ii)

Diagram 15 below shows two similar shapes.

Diagram 15

Find the values of .

Answer : ______________

3

(b)

Diagram 16 shows two triangles and . Triangle is the image of triangle under an enlargement.Given that the area of shaded region is.

A

B

E

D

C

2cm cm

3cmcmcm

Diagram 16

Find the area, in , of the unshaded region.

Answer : ______________

3

(c)

Diagram 17 shows a triangle drawn on a square grid. On the diagram, draw the image of STW under an enlargement at point with scale factor.

Answer:

S

T

W

Diagram 17

3

-END OF QUESTION-