SET 10

1. In Diagram 1, set A shows the images of certain elements of set B

DIAGRAM 1

(a) State the type of relation between set A and set B

(b) The range of the relation [2 marks]

Answer (a)__________________

(b) _________________

DIAGRAM 2

2. Diagram 2 shows the function ,

find the value of [2 marks]

Answer:____________________

1

3

2

1

-1

f

g

Set A Set B

e

h

SET 10

3. A quadratic equation has distinct roots.

Find the possible values of . [3 marks]

Answer: ___________________

4. The roots of the quadratic equation are and 3,

find the value of and [3 marks]

Answer: _____, _______

5. Diagram 3 shows the graph of a quadratic function where is a

constant. The curve has a minimum point where is a constant.

DIAGRAM 3

State the value of

(a)

(b)

(c)

Answer:(a)__________________

(b)_________________

(c)__________________

2

),0( r

)5,( qA

x

y

O

SET 10

6. Find the range of the values of for [3 marks]

Answer:____________________

7. Solve the equation [3 marks]

Answer:____________________

8. Given that and ,

express in terms of and . [4 marks]

Answer:____________________

9. Solve the equation [3 marks]

Answer:____________________

3

SET 10

10.The sum of the first n terms of an arithmetic progression is .

Calculate

(a) the first term of the progression

(b) the common different of the progression [3 marks]

Answer:____________________

11. Given that 14, - 28, 56, ………, 224 is a geometric progression

Find the number of terms of the progression. [2 marks]

Answer:____________________

12. Given the points , and

(a) Express vector in terms of and ,

(b) Find the value of if vector is parallel to vector . [4 marks]

Answer:(a) ______________

(b) _________________

4

SET 10

13. Diagram 4 shows a square grid.

DIAGRAM 4

Given that , . Express in terms of and , vector

(a)

(b) [2 marks]

Answer:(a)__________________

(b)__________________

14. Diagram 5 shows the sector ROS of the circle with center O , radius is 13 cm and the length of OP is 5 cm.

DIAGRAM 5

Calculate (a) the value of , in radian (b) the area, in , of the shaded region [4 marks]

Answer: ___________________

5

O

A

B

C

D

O S

R

P

SET 10

15. Diagram 6 shows the sector OAB with centre O.

DIAGRAM 6

Given that the length of the major arc AB is 45.51cm and the radius is 9 cm, find the value of , in radian (Use ). [3 marks]

Answer: ___________________

16. Diagram 7 shows the curve

DIAGRAM 7

Given that the area of the shaded region is 8 unit2, find the value of . [2 marks]

Answer:____________________

6

O

A

B

O

SET 10

17. Given that and , calculate the value of [3 marks]

Answer:____________________

18. Given that (a) Find the gradient of the curve at the point (2,4) (b) Hence, find the approximate change in when changes from 4 to 3.8 [4 marks]

Answer: (a) ___________

(b)___________

19. Solve simultaneous equations and . [5 marks]

20. Table shows the values of two variables, x and y, obtained from an experiment.

Variable x and y are related by the equation where and are constants

7

SET 10

x 1.0 3.0 5.0 7.0 8.0

y 1.78 2.24 2.82 3.55 3.98

TABLE 1

(a) Plot against , by using a scale of 2 cm to 1 unit on the – axis

and 2 cm to 0.1 unit on the – axis. Hence, draw the line of best fit. [4 marks]

(b) Use your graph from (a) to find the value of

(i) p

(ii)

(iii) when [6 marks]

21. A society is going to organize a culture night at a hall. The society is selling

twos of tickets, RM20 for members and RM30 for non-members. The ticket

Sold to non-members must not be more than three times of the tickets sold to

members. The hall can only accommodate 800 people. The society would like

to gain a collection of at least RM15 000 from this activity. The society has sold

tickets to members and tickets to non members

(a) Write down three inequalities, other than and ,

that satisfy all of the above condition. [3 marks]

(b) Hence, using a scale of 1 cm to 100 people on both axes, construct and

shaded the region R that satisfied all the above constraints. [3 marks]

(c) Using the graph from (b), find

(i) the minimum number of tickets that can be sold to members.

(ii) calculate the maximum profit that can be collected [4 marks]

22. (a)The bar graph shows the selling price for three kinds of goods

in the year 2000 and 2006

810

20

30

40

Price(RM)

GoodX Y Z

SET 10

By using the year 2000 as the base year, calculate

(i)the price indices for each goods [3 marks]

(ii) the composite index for the year 2006 [2 marks]

(b) Table 3 shows the price indices and the weight for four goods

for the year 2003 based on the year 1998. Given that the

number of composite index for the year 2003 is 122.

Goods Price Indices Weight

Bed 100 2

Wardrobe 120 m

Washing machine 130 3

Refrigerator 150 1

TABLE 2

Calculate

(i) the value of m [3 marks]

(ii) the price for a refrigerator in the year 2003 if its price in

the year 1998 was RM500 [2 marks]

23. (a) Table 3 shows result of a survey of shoe sizes at a number of warehouse.

Shoe Size Number of warehouse

35 6

9

Year 2000

Year 2006

SET 10

36 5

30 4

TABLE 3

Find the standard deviation of shoe size stored in the warehouses [3 marks]

(b) Table 4 shows frequency distribution of marks for 40 students in a school.

Marks Number of student

20 – 39 6

40 – 59 9

60 – 79 13

80 – 99 12

TABLE 4

(i) Find the range [2 marks]

(ii) Without plotting an ogive, calculate the upper quartile [2 marks]

10

SET 10

ANSWER:No. Answer

1. (a) many to one(b)

1

1

2. 2

3. 3

4. 12

5. (a) (b) (b)

11

1

6. 3

7. 3

8. 4

9. 3

10.(a) (b) 3

11. 2

12. (a)

(b)

1

3

13. (a)

(b)

1

1

14. (a) (b)

22

15. 3

No. Answer

16. 2

17

1

3

18. (a) 10

(b)

3

19.5

20.(c)

21.

(a) (b)

(c) (i) 140 (ii) RM22 000

22.

(a) (i)

(ii)122.22(b) (i) (ii) 750

32

32

23.(a) (b) (i) 60 (ii) 82.83

322

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