Free Printable Practice AddMaths F4

1.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

2.

Given
f(x) = 2x² + 5x - 17,
find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

3.

Given f(x) = 2x and
g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

4.

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+31

b)

g(f(x))= -6x²+24

c)

g(f(x))=18x²-84x+90

d)

g(f(x))=9x²-42x-41

5.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

6.

Which is f ^-1(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

7.

Which is true for the equation $x^2-5x+12=0?$

a)

There are two real roots

b)

There is one one repeated root

c)

There are no real roots

d)

There are two rational roots

8.

Form a quadratic equation with roots 2 and 8

a)

$x^2+10x-16=0$

b)

$x^2-10x+16=0$

c)

$x^2-16x+10=0$

d)

$x^2-16x-10=0$

9.

The ranges of value of x is

a)

$-2<x<5$

b)

$x<-2\ ,\ \ \ x>5$

c)

$x>-2,\ \ \ x<5$

d)

$x<-2,\ \ \ x<5$

10.

What is the orange line called?

a)

Line of Solutions

b)

Roots

c)

Vertex

d)

Axis of Symmetry

11.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

12.

What is the vertex form for a vertex of (-3,-5) and when a=-2?

a)

y = -2(x-3)²+5

b)

y = -2(x+3)²+5

c)

y = -2(x+3)²-5

13.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

14.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

15.

What is the correct law for powers of powers? (a^m)ⁿ =

a)

a^mxn

b)

a^m+n

c)

a^m x aⁿ

d)

a^men

16.

Which expression is equivalent to the following?

a)

32x³y⁴

b)

32x⁹y¹³

c)

16x⁸y¹²

d)

16x⁶y⁷

17.

$\sqrt{3}\times\sqrt{4}$ =

a)

$\sqrt{3\times4}$

b)

$\sqrt{3+4}$

c)

$3\times4$

d)

$\sqrt{7}$

18.

a)

5/3

b)

5 surd 3

c)

15

d)

3 sure 5

19.

The conjugate surd of $\left(3-\sqrt{2}\right)$ is

a)

$\sqrt{2}-3$

b)

$\sqrt{3}-\sqrt{2}$

c)

$3+\sqrt{2}$

d)

$\sqrt{3}-2$

20.

$\left(\sqrt{5}-\sqrt{4}\right)\left(\sqrt{5}+\sqrt{4}\right)=$

a)

$5-4$

b)

$5+4$

c)

$5^2-4^2$

d)

$5^2+4^2$

21.

Which of the following is considered as rationalising the denominator of $\frac{3-\sqrt{2}}{\sqrt{5}+4}$ ?

a)

$\frac{3-\sqrt{2}}{\sqrt{5}+4}\times\frac{3-\sqrt{2}}{\sqrt{5}-4}$

b)

$\frac{3-\sqrt{2}}{\sqrt{5}+4}\times\frac{\sqrt{5}+4}{\sqrt{5}+4}$

c)

$\frac{3-\sqrt{2}}{\sqrt{5}+4}\times\frac{4-\sqrt{5}}{4-\sqrt{5}}$

d)

$\frac{3-\sqrt{2}}{\sqrt{5}+4}\times\frac{\sqrt{5}-4}{\sqrt{5}-4}$

22.

Simplify

\sqrt{88}

a)

$4\sqrt{2}$

b)

$2\sqrt{4}$

c)

$4\sqrt{11}$

d)

$2\sqrt{22}$

23.

Write 2³= 8 in logarithmic form.

a)

log₂ 8 = 3

b)

log₂ 3 = 8

c)

log₃ 8 = 2

d)

log₃ 2 = 8

24.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

25.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

26.

Simplify log₄4^3x

a)

3x

b)

3

c)

4

d)

4^3x

27.

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 - log₅9

a)

log₅0

b)

log₅56

c)

log₅2

d)

log₅98

28.

Solve for x:
log_x25 = 2

a)

5

b)

-5

c)

1/5

d)

-1/5

29.

Evaluate log₂√2

a)

-2

b)

2

c)

1

d)

1/2

30.

The graphs of $y=2x^2$ and $y=mx-2$ intersect at the points A and B. The point B has coordinates (2, 8). Find the coordinates of the point A.

a)

(5, 4)

b)

(0.5, 0.5)

c)

(0,5, 0.25)

d)

(3, 2)

31.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

32.

A company sold 1200 units of brand X smartphones in the year 2015 and 1500 units in the year 2018. Calculate the index number for the number of smartphones sold in the year 2018 based on the year 2015

a)

125

b)

150

c)

175

d)

120

33.

The price index of a double storey terrace in the year 2000 based on the year 1984 was 150. If the price of the terrace was RM 139 500 in the year 2000, find its price in the year 1984.

a)

RM 53 000

b)

RM 93 000

c)

RM 90 000

d)

RM 50 000

34.

The table above shows the price indices of three materials used to produce a type of bottle for the year 2019 based on the year 2015. The quantities of materials P, Q and R used are in the ratio of 10 : 3 : 2. Calculate the composite index for the year 2019 based on the year 2015.

a)

203

b)

118

c)

432

d)

128

35.

A box of tissues cost RM1.20 and RM1.60 in the year 2003 and 2006 respectively. Calculate the price index of a box of tissues for the year 2006 based on the year 2003.

a)

133.33

b)

122.22

c)

111.11

d)

123.32

36.

Calculate the value of y.

a)

162

b)

161

c)

163

d)

164

37.

A company sold 1200 units of brand X smartphones in the year 2015 and 1500 units in the year 2018. Calculate the index number for the number of smartphones sold in the year 2018 based on the year 2015

a)

125

b)

150

c)

175

d)

120

38.

What is f(g(3))?

a)

1/8

b)

8

c)

1/4

d)

1/2

39.

2x² - 6x - 7 = 0
What are the sum and the product of roots?

a)

Sum = 3
Product = 7/2

b)

Sum = - 3
Product = - 7/2

c)

Sum = - 3
Product = 7/2

d)

Sum = 3
Product = - 7/2

40.

Form a quadratic equation with roots -2 and $\frac{1}{4}$

a)

$4x^2+7x-2=0$

b)

$x^2-\frac{7}{4}x-\frac{1}{2}=0$

c)

$4x^2-7x-2=0$

d)

$x^2-\frac{7}{4}x+2=0$

Practice AddMaths F4

Total questions: 40

Worksheet time: 3hrs 58mins

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