8/7/2019 Pre Test Form 5

1/2

Pre Test Additional Mathematics Form 5

Prepared by: Pn. Hayati Aini Ahmad Page 1

1. Solve the equation:

[3 m]

2. Given that , find the value of [4 m]

3. Table 1 shows the points obtained by 60 students in a game.

Given that mean of this distribution is 3.25, find

(a) the value of (b) standard deviation of this distribution [4 m]

4. In a quiz organized by an association, the median mark was 72 and the variance was16. The organizing committee decided to change the median mark to 65 by

multiplying each mark by

and adding the mark by a constant . Find

(a) the value of (b) the new variance [4 m]

5. Given that , find

[3 m]

6. Given that and the rate of increase of is

unit s

-1, find the rate of

increase of when unit. [3 m]

7. The gradient function of the curve

is

, where and are

constants. Find

(a) the value of and of (b) the -coordinates of the stationary point [4 m]

8. The first three terms of an A.P are and . The th term of this

progression is positive. Find the least value of. [2 m]

9. The first three terms of a G.P are and . Find the value of

. [3 m]

Points 1 2 5

No. of students 3 32 22 3

8/7/2019 Pre Test Form 5

2/2

Pre Test Additional Mathematics Form 5

Prepared by: Pn. Hayati Aini Ahmad Page 2

. Diagram 1 shows a part of straight line graph of against .

It is known that and are related by the

equation , where and

are constants.

(a) Calculate the value of and of

(b) Find the value of when [3 m]

11. Solve the simultaneous equations

and [5 m]

12. Reena open a saving account with a bank on 1st

of January. His initial savings

amount(principal) is RM 1 500. She plans not to make any withdrawal in the coming

16 years. The following table shows how her investment grows at the end of the first

three years.

Reenas saving continues to grow in this way for the subsequent years.

(a) The amount of money at the end of n th year forms a geometry progression.

State the common ratio. [1 m]

(b) Find the amount of money she have at the end of sixth year. [2 m]

(c) Calculate the number of years that it would take Reenas saving to exceed

RM 3000 [3 m]

13. Table shows the values of two variables, and , obtained from an experiment.

Variable and are related by the equation where and are

constants.

0.3 0.4 0.5 0.6 0.7 0.8 0.9

2.24 2.64 3.04 3.50 4.03 4.64 5.34

(a) Plot against , using a scale of 2 cm to 0.1 unit on the

-axis and 2 cm to 0.05 unit on the -axis. Hence, draw the line

of best fit. [5 m]

(b) Use your graph from 13(a) to find the value of and of [5 m]

End of........

The amount of

money in saving

account (RM)

First year 1590

Second year 1685.40Third year 1786.524