Free Printable PRE TEST AM025

1.

Given $P\left(A\right)=0.35$ and $P\left(B\right)=0.45$ calculate $P\left(A\cap B'\right)$ if events A and B are independent

a)

0.8

b)

0.1925

c)

0.1275

d)

0.45

2.

For every class of 40 students, on average there are 4 of them are left-handed. Find the probability that between 4 and 17 students are left-handed in any two classes

a)

0.8967

b)

0.8867

c)

0.1563

d)

0.9932

3.

Integrate $\int\ \frac{1}{^3\sqrt{x}}\ dx$

a)

$\frac{2x^{\frac{3}{2}}}{3}+c$

b)

$\frac{3x^{\frac{2}{3}}}{2}+c$

c)

$\frac{3x^{\frac{2}{3}}}{2}$

d)

$6x^{\frac{3}{2}}+c$

4.

The following table shows the average price per kilogram, (RM), and the quantity for four types of vegetable, (kg), for the year 2017 and 2018.

Given that the average relative price index is 101.1806, find the value of m

(a)

5.

The following table shows the number of hours spent on revision per week for Mathematics and the final examination marks obtained by seven students.

Obtain the equation of linear regression line y=a+bx with the values of a and b correct to four decimal places. Hence, interpret the slope b obtained

a)

$y=29.9573+3.7094x$
If the students increase 1 hour for revision, the marks increase by 3.7094

b)

$y=29.9573+3.7094x$
If the students decerase 1 hour for revision, the marks increase by 3.7094

c)

$y=29.9573-3.7094x$
If the students increase 1 hour for revision, the marks decrease by 3.7094

d)

$y=29.9573-3.7094x$
If the students decerase 1 hour for revision, the marks idecrease by 3.7094

6.

Given
$f\left(x,y\right)=2x+4y-x^2-y^2+5$
which answer is true

a)

(1,2) is a stationary point

b)

(1,2) is a minimum point

c)

(1,2) is a saddle point

d)

(1,2) is a maximum pint

e)

(1,2) is critical point

7.

The diagram shows part of the graph of y =2 -x and y=x² . Find the area of the shaded region.

(a)

8.

Given $p-130=-q^2-4q$ and $p-10=q^2+10q$ are demand and supply function in RM. Which statement is true

a)

market equilibrium point is ( 2,5)

b)

c)

CS =RM 133.33

d)

PS= RM 223.33

9.

Ah Chong borrowed RM8,000 for 4 months from ABC bank which charged a bank discount rate of 9%. Find the bank discount, proceed and hence determine the simple interest rate that equivalent to the given bank discount rate.

a)

D=RM240 , Proceed= RM7760 , r=9.28%

b)

D=RM220 , Proceed= RM7660 , r=9.38%

c)

D=RM420 , Proceed= RM7760 , r=9.28%

d)

D=RM240 , Proceed= RM6770 , r=9.38%

10.

The given data represent the number of kilometres per litre for 20 four-wheel-drive vehicles in an expedition.

which statement is true?

a)

standard deviation =0.8154

b)

median =6.2 and mode =6.4

c)

Data is skewed to the right

d)

mean=6.0

11.

A researcher wants to determine the relationship between number of shops, X (‘00) and annual revenue, Y (RM‘000) of 10 towns. The following statistic was obtained .

Obtain the product moment coefficient of correlation. Hence, interpret the value obtained.

a)

r = 0.2345

There exist a weak positive correlation between number of shops and annual revenue

b)

r²= 0.0550

This means that 5.5% of the variation in annual revenue is explained by the variation in number of shops and 94.5% are caused by other factors.

PRE TEST AM025

Total questions: 11

Worksheet time: 6mins

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