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Worksheets

SARINGAN 1 MeS 2022

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

If f:x5x+2f:x\longrightarrow5x+2  , find  f1(x)f^{-1}\left(x\right)  

a)

f1(x)=x25f^{-1}\left(x\right)=\frac{x-2}{5}  

b)

f1(x)=2x5f^{-1}\left(x\right)=\frac{2-x}{5}  

c)

f1(x)=5x2f^{-1}\left(x\right)=\frac{5-x}{2}  

d)

f1(x)=2x10f^{-1}\left(x\right)=2x-10  

2.
What is the vertex of
f(x) = 2(x - 5)2 + 12
a)
(-5, -12)
b)
(5,-12)
c)
(5, 12)
d)
(-5, 12)
3.

Write the following quadratic expression in vertex form...


x2 + 4x + 10

a)

(x + 4)2 + 6

b)

(x + 2)2 + 6

c)

(x + 4)2 - 6

d)

(x + 2)2 - 6

4.

Simplify log3 9 + log3 27.

a)

−1

b)

4

c)

5

d)

1

5.

Rationalise 4+3i4i\frac{4+3i}{4i}  . Hence, express in the form  a+bia+bi  

a)

43i\frac{4}{3}-i  

b)

34i\frac{3}{4}-i  

c)

34+i\frac{3}{4}+i  

d)

34i\frac{3}{4}i  

6.

The probability that Hamid qualifies for the final of a track event is  \frac{2}{5} while the probability that Mohan qualifies is  \frac{1}{3} . Find the probability that both of them qualifies for the final.

a)

25\frac{2}{5}  

b)

13\frac{1}{3}  

c)

25+13\frac{2}{5}+\frac{1}{3}  

d)

25×13\frac{2}{5}\times\frac{1}{3}  

7.

A sample space of an experiment is given by S = {1, 2, 3, …, 20}. Event M and N are defined as follows:

M = {3, 6, 9, 12, 15, 18}

N = {1, 3, 5, 15}

Find P(M).

a)

0.2

b)

0.3

c)

0.5

d)

0.8

8.
a)

a2=b2+c2

b)

c2=b2+a2

c)

a2=b2- c2

d)

b2=c2+a2

9.
a)

x = 3/2, y = 4

b)

x = 7, y = -2

c)

x = 12, y = 7

d)

x = 4, y = 1

10.
a)

p = -2, q = 0.5

b)

p = 1/100, q = 1/16

c)

p = 100, q = 16

d)

p = 10, q = -4

11.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

2xy2=02x-y-2=0

b)

2xy10=02x-y-10=0

c)

2xy+2=02x-y+2=0

d)

2xy+10=02x-y+10=0

12.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
13.

The coefficient of  x2x^2  when  5x3 +2x2x +4 -5x^{3\ }+2x^2-x\ +4\  is subtracted from  8x3+9x2+3x 78x^3+9x^2+3x\ -7  is

a)

13

b)

-13

c)

7

d)

-7

14.

  

a)
b)
c)
d)
15.

What is the inverse of f(x)=1xf\left(x\right)=\frac{1}{x}  

a)

1y\frac{1}{y}  

b)

1

c)

1x\frac{1}{x}  

d)

x1\frac{x}{1}  

16.

Which of the following is NOT a one-to-one function?

a)

{(1,2),(3,4),(5,6),(7,8)}\left\{\left(1,2\right),\left(3,4\right),\left(5,6\right),\left(7,8\right)\right\}  

b)

{(1,1),(2,2),(3,3),(4,4)}\left\{\left(-1,1\right),\left(-2,2\right),\left(-3,3\right),\left(-4,4\right)\right\}  

c)

{(12,1)(13,2),(23,3),(14,3)}\left\{\left(\frac{1}{2},1\right)\left(\frac{1}{3},2\right),\left(\frac{2}{3},3\right),\left(\frac{1}{4},3\right)\right\}  

d)

{(1,1), (2,2),(3,3),(4,4)}\left\{\left(1,1\right),\ \left(2,2\right),\left(3,3\right),\left(4,4\right)\right\}  

17.

What is the formula related to the concept of discriminant?

a)

b24bcb^2-4bc  

b)

b2+4acb^2+4ac  

c)

b24acb^2-4ac  

d)

b22acb^2-2ac  

18.

Simplify: 2y23xy  2x24y2x2\frac{2y^2-3xy\ -\ 2x^2}{4y^2-x^2}  

a)

y2x2yx \frac{y-2x}{2y-x\ }  

b)

2xy2yx \frac{2x-y}{2y-x\ }  

c)

y2xx 2y\frac{y-2x}{x\ -2y}  

d)

y+2x2yx \frac{y+2x}{2y-x\ }  

19.

In a book store, books packed in cartons are arranged in rows such that there are 50 cartons in the first row, 48 cartons in the next row, 46 in the next and so on. How many cartons will there be in the 8th row?

a)

43

b)

64

c)

32

d)

36

20.

A bus travelling at an average speed of 63 km/h left a station at 8:15 a.m. A car later left the same station at 9:00 a.m. and caught up with the bus at 10:45 a.m. Find the average speed of the car.

a)

82.8 km/h

b)

92.8 km/h

c)

90 km/h

d)

100 km/h

21.

A minor arc of a circle subtends an angle of 105° at the centre of the circle. If the radius of the circle is 8.4 cm, find the length of the major arc. (Take π =227\pi\ =\frac{22}{7}   )

a)

37.4 cm

b)

50.6 cm

c)

27.4 cm

d)

15.4 cm

22.

A line with gradient of -3 passes through the points (3, k) and (k, 8). Find the value of k and hence express the equation of the line in the form ax + by = c, where a, b and c are constants.

a)

2x + 6y = 38

b)

6x + 2y = 19

c)

2x + 6y = 19

d)

6x - 2y = 19

23.

The production of milk, in litres, of 14 cows on a certain day was recorded as follows: 22, 26, 15, 19, 20, 16, 27, 15, 19, 22, 21, 20, 22 and 28. Determine the median.

a)

21

b)

21.5

c)

20

d)

20.5

24.

Oketch sells his car to Jane and makes a profit of 20%. Jane sells the same to Issa at RM 180,000, making a loss of 10%. Determine the price at which Oketch bought the car.

a)

RM 156,665.70

b)

RM 100,000

c)

RM 150,000

d)

RM 166,666.70

25.

A salesman gets a commission of 2.4% on sales up to RM 100,000. He gets additional commission of 1.5% on sales above this. Calculate the commission he gets for sales worth RM 280,000.

a)

RM 9,420

b)

RM 5,100

c)

RM 3,600

d)

RM 10,920