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ADEC Examinations2012-2013

Required Ruler, Pencil, Protractor

Optional: Scienti c calculator

(not graphic display)

Read these instructions rst:

1. Complete the box above

2. Write in blue or black pen

3. The paper consists of ( 16 ) questions

4. Read each question carefully; attempt every one

5. The number of marks is in [ ]

6. Show appropriate working to arrive at a solution

7.Any diagrams/shapes are not drawn to scale

Mathematics: Grade 9

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1]

1]

1]

1]

4

. 15 .1

.A

.B

.C

.D

.2

.A .B .C .D

.3

.A

.B

.C

.D

. 60 000 .4

.A

.B

.C

.D

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A, B and CA and B

B and C

A and C

geQ M IFGO SQGh d dG HLE G NG10 `` 1:e SCG

A SQG .A HLE G fc GPE G :e C A dG HLE G M IFGO SQGh TG CNCG GPE G

45

135

360

1080

Dhs 5 000

Dhs 15 000

Dhs 720 000Dhs 3 120 000

60

70

12 cm

A

60

12 cm

70

B

60

12 cm

C

50

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1. A laundry worker receives Dhs 15 for each shirt he presses. What is this type of income called?

A. Piece work

B. Wages

C. Salary

D. Commission

2. What do the exterior angles of an octagon add up to?

A. 45

B. 135

C. 360

D. 1080

3. Which triangles are congruent?

A. A, B and C

B. A and B

C. B and C

D. A and C

4. Tariq is a doctor who earns Dhs 60 000 a month. What is his yearly salary?

A.

B.

C. D.

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[1]

[1]

[1]

[1]

4

For questions 1-10, choose one answer and circle it : e.g. AIf you make a mistake, cross out the rst answer and circlethe correct one: e.g. A C

Dhs 5 000

Dhs 15 000

Dhs 720 000Dhs 3 120 000

60

70

12 cm

60

12 cm

70

60

12 cm

50

Not drawn

to scaleCBA

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10 150 000 .5

9.75%

.A

.B

.C

.D

8 6 .

.6

.A

.B

.C

.D

? 8 .7

.A.B.C.D

? 5 .8

.A

.B

.C

.D

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1]

]

]

]

0

2

45

7

16

17

34

Dhs 97.50

Dhs 150 000

Dhs 975 000

Dhs 15 000 000

78

8.5

9

0

2

4

6

8

10

12

14

16

18

20

4 5 6 7 8 9 10

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5. What is the best estimate for the simple interest paid on a loan of Dhs 150 000 borrowed for 10 yearsat 9.75% pa? I = PRT

A.

B.

C.

D.

The graph below shows the cumulative frequency of students scoring at or below a given mark in a test. Use the graph to answer Questions 6 to 8

6. What is the median mark of the test?

A. 7 B. 8 C. 8.5 D. 9

7. How many students scored 8 or less?

A. 7

B. 16

C. 17

D. 34

8. How many students scored a mark of 5?

A.

B.

C. D.

M9 page 5 of 20

[1]

4

[1]

[1]

[1]

0

2

45

Dhs 97.50

Dhs 150 000

Dhs 975 000

Dhs 15 000 000

0

2

4

6

8

10

12

14

16

18

20

4 5 6 7 8 9 10

C u m u l a t

i v e

F r e q u e n c y

Marks

Cumulative Frequency of Student Marks

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. 15% 100 000 .9

15 000 .A 115 000 .B

5 000 7 .C 15 000 .D

DOC AOB .10

.A

.B

.C

.D

. 30 000 8% 1200 .11

. 35 .850

(a)

. (b)

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2]

1]

SAS

SSS AAS

AAA

d MG MG HLE G cG(16 -11) :SCd

A

B

O

C

D

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9. A new car worth Dhs 100 000 depreciates by 15% each year. Which statement is true?

A. Every year the car is worth Dhs 15 000 less

B. After one year the car will be worth Dhs 115 000

C. After 7 years the owner will have to pay Dhs 5 000 to keep the car D. The value of the car goes down by less than Dhs 15 000 after its second year

10. Which conditions could be used to show that triangle AOB and triangle DOC are congruent?

A. Side, Angle, Side SAS

B . Side, Side, Side, SSS

C. Angle, Angle, Side AAS

D. Angle, Angle, Angle AAA

For questions 11 - 16, write your answers in the spaces provided.

11. Ali is paid a weekly wage of Dhs 1200 and then 8% commission on sales in excess of Dhs 30 000.

(a) Calculate Alis weekly income if in one week he makes sales of Dhs 35 850.

(b) State one advantage for a company paying its workers on a commission basis.

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5

[1]

[1]

[2]

[1]

A

B

O

C

D

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5% 10 000 .12 . .

. (a )

5% 10 000 .

.

. ( b )

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3]

P = A (1+ r )n

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. .13 .

(a) (a )

(b )

(c)

15 h11 (d )

23 (e)

. 30 (f )

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1]

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Class Interval Frequency f CumulativeFrequency cf

(a) 2 2 5 7

11 - 15 14 16 - 20 23 21 - 25 2 25 26 - 30 1 26

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13. Below is a frequency distribution and cumulative frequency table showing the marks obtainedin a Mathematics test. Paint has been spilt on the paper and parts of the table are not readable.

(a ) Give the values for the rst class interval marked (a)

(b ) State the number of students who sat this test

(c) Find the median class interval for the test

(d ) Determine the number of students who scored between 11 and 15

(e) Explain the meaning of the value 23 in the cumulative frequency column

(f ) Mariam states The top mark scored in this test was 30. Do you think this statement is true?Give a reason for your answer.

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[1]

[1]

[1]

[1]

[1]

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Class Interval Frequency f CumulativeFrequency cf

(a) 2 2 5 7

11 - 15 14 16 - 20 23 21 - 25 2 25 26 - 30 1 26

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. ABCD .14

. . (a )

ACD (b )

. 30 .15

. (a )

. (b )

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2

4]

1]

6]

1]

20 - 24

52, 22, 24, 27, 30, 31, 32, 34, 35, 25, 36, 38, 40, 23, 41,

42, 47, 27, 47, 48, 49, 24, 49, 53, 23, 53, 54, 23, 38, 24

A

B

C

D

22

125

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14. In the diagram below, ABCD is a parallelogram

(a ) Prove that the two triangles are congruent. Use correct naming and notation

(b ) Calculate the size of angle ACD

15. The list below gives the number of zaatar manakeesh sold in the canteen over a 30 day period.

52, 22, 24, 27, 30, 31, 32, 34, 35, 25, 36, 38, 40, 23, 41,

42, 47, 27, 47, 48, 49, 24, 49, 53, 23, 53, 54, 23, 38, 24

(a) Complete the group frequency table below.

(b) Find the modal class for the number of zaatar manakeesh sold each day.

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12

[4]

[1]

[6]

[1]

Class Interval Tally Frequency

20 - 24

A

B

C

D

22

125

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. .16 .

(a ) =

. (b )

.

. (c)

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2]

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Sum = ( n - 2 ) x 180

) 16 (

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16. Ahmed is a tiler. He is designing a oor pattern with some tiles in the shape of regula r pentagonsand some in the shape of regular decagons

(a) Find the size of each interior angle of a regular pentagon Sum = ( n _ 2 ) x 180

(b ) Find the size of each interior angle of a regular decagon

Ahmed wants to t a ring of pentagons around each decagon without any gaps.

(c) Explain how Ahmed knows that this is possible using your angle calculations from above.

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[2]

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[2]

(Question 16 continues on the next page)

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(d )

. .

39 .

. 30 (e)

. 55 . 5

.

................................. . ......................

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(16 (

) 16 (

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(d ) State one other property of the shapes necessary for the pattern to have no gaps.

Ahmed will need a worker to help him lay the tiles. He has the choice of two workers, Saeed or Ali.

(e) Saeed charges Dhs 30 per hour. On Saturday , Saeed is paid time and a half. Saeed works 39

hours from Sunday to Thursday and 5 hours on Saturday. Saeed will lay 55 tiles per hour.

Find Saeeds weekly wage and the number of tiles he will lay in a week

Saeed will earn Dhs ........................ per week and lay ........................ tiles per week

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[4]

(Question 16 continued)

(Question 16 continues on the next page)

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. 0.57 . (f ) . 440 6

.

..................... ............................

. 20 000 (g)

.

................................................................. .....................................................

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2]

3]

SCG fG

(16 (

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(f ) The second worker Ali does piece work. Ali will charge Dhs 0.57 for each tile he lays.

He will work 6 days a week and lay 440 tiles each day.

Calculate the cost of hiring Ali each week and state the number of tiles he will lay in a week

Ali will earn Dhs............................. per week and lay............................. tiles per week

(g) Ahmed has 20 000 tiles in his oor pattern. Choose the worker that you think Ahmed would

be best to use to lay all the tiles. Give one reason for your answer.

Ahmed should choose ...........................................because........................................

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[3]

End of Questions

(Question 16 continued)

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Mark ChecksheetMathematics: Grade 7 Mark Checksheet Mathematics: Grade 9 Mark Checksheet

M9 B k

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9 11

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16 (a) 16 (c)

16 (d) 16 (e)16 (f) 16 (g)

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Name of Marker: Signature:

Name of Reviewer: Signature:

Question/s Max. Marker Reviewer

50 50 50TOTAL

Exam Mark % %