Free Printable Form 4 Add Math Quiz

1.

Determine is the diagram shows a function?

a)

Not a function. Each object has only one image.

b)

Function. Object has more than one image.

c)

Not a function. Object has more than one image

d)

Function. Each object has only one image.

2.

Alvin had 145 markers in her art supply box. He threw away 37 dried out markers, but then his grandmother gave him 24 new markers. Which equation shows a way to find out how many markers Alvin had now?

a)

145 + 37 – 24 = 156

b)

145 – 37 – 24 = 84

c)

145 + 37 + 24 = 206

d)

145 – 37 + 24 = 132

3.

Determine whether the graph represents a function? Give your reason.

a)

Function. When the vertical line test is carried out, the line cuts the graph at only one point.

b)

Function. When the horizontal line test is carried out, the line cuts the graph at two points.

c)

Not a function. When the vertical line test is carried out, the line cuts the graph at only one point.

d)

Not a function. When the horizontal line test is carried out, the line cuts the graph at two points.

4.

Marco wanted to track himself taking 300 steps during lunch.

• At first, he counted 75 steps.

• Then, he counted 100 steps.

How many more steps did he need to reach his goal?

a)

175

b)

125

c)

475

d)

Not Here

5.

A function is

$h\left(x\right)=6x-5$

Find the object of the function which maps to itself.

(a)

6.

Determine the range.

a)

$0\le x\le3$

b)

$0\le f\left(x\right)\le4$

c)

$0\le f\left(x\right)\le3$

d)

$0\le x\le4$

7.

$\ g^{-1}\left(x\right)=\frac{x+4}{x-4}$

Determine $g\left(x\right)$

a)

$\frac{x-4}{x+4}$

b)

$\frac{4x+4}{x-1}$

c)

$\frac{x+1}{4x-4}$

8.

Determine the range

a)

$\left\{2,\ 3,\ 4,\ 5\right\}\$

b)

$\left\{\frac{1}{2},\ \frac{1}{3},\ \frac{1}{4},\ \frac{1}{5},\ 0\right\}$

c)

$\left\{\frac{1}{2},\ \frac{1}{3},\ \frac{1}{4},\ \frac{1}{5}\right\}$

d)

$\left\{0\right\}$

9.

Find the remainder when $2x^3+7x^2-6x+9$ is divided by x+1

a)

-21

b)

20

c)

-20x

d)

-21x

e)

20x

10.

A box weighted 150N is moved as high as 1m from the floor is_____________________?

a)

scalar quatity

b)

vector quantity

11.

Determine whether the graph has an inverse or not. Give a reason.

a)

Function f has no inverse function. When the horizontal line test is carried out, the line cuts the graph at two points.

b)

Function f has an inverse function. When the vertical line test is carried out, the line cuts the graph at only a point.

12.

Rewrite log₂8 = 3 in exponential form

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

13.

Write in exponential form

log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

14.

Evaluate.
log₃81

a)

4

b)

¹/₄

c)

-4

d)

-¹/₄

15.

Find the composite function of $fg\left(x\right)$ if given

$f\left(x\right)=x^2-4x+3$ $g\left(x\right)=-5x$

a)

$25x^2+20x+3$

b)

$-25x^2+20x+3$

c)

$25x^2-20x+3$

d)

$25x^2+20x-3$

16.

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

a)

log₄15

b)

log₄15x

c)

log₄56x

d)

xlog₄30

17.

Simplify,

(z³yx) × (x²yz)

a)

z⁴y²x³

b)

6 zyx

c)

3z 2y 3x

d)

z²÷ x

18.

Write

3² × (1/3⁴)

as a single power in its simplest form

a)

3²

b)

-3²

c)

1²÷ 3²

d)

3^{- 2}

19.

Expand the logarithm expression

log 6x³y

a)

log 6x³ + log y

b)

log 6 + log x³ + log y

c)

3 log 6 + log x + log y

d)

log 6 + 3log x + log y

20.

(-4r³s⁵)⁰ (3b⁴c²d)

a)

1

b)

-12b⁴c²d

c)

3b⁴c²d

d)

0

21.

Simplify fully:
2√45 - 5√45 + 9√16

a)

-9√5 + 36

b)

-3√45 + 144

c)

6√16

d)

6√106

22.

Rationalise the Denominator:
^{(3 + √4)}/_√2

a)

^5√2/₂

b)

^{(3√2 +√8)}/₂

c)

^{(3√2 +√8)}/4

d)

^{(3√2 +}^√3⁾/₂

23.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

24.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

25.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

26.

Alyssa had a goal to practice the piano for 400 minutes during the summer.

• In June she practiced 165 minutes.

• In July she practiced 140 minutes.

How many more minutes does she need to practice in August in order to reach her goal?

a)

95

b)

305

c)

705

d)

Not Here

27.

Determine $f^2$ if the function $f$ is given as

$f\left(x\right)=7x-8$

(a)

28.

There are 842 seats in the school cafeteria. 138 seats need repairs. How many seats do not need repairs?

a)

804

b)

980

c)

716

d)

704

29.

A function is defined as h(x)=6x-5.

Find the image when the object is 2.

(a)

30.

A music store sold 453 CDs on Saturday and 369 CDs on Sunday. How many CDs were sold on both days?

a)

812

b)

822

c)

722

d)

712

31.

Zuri watched two movies. The first movie was 145 minutes long. The second movie was 172 movies long. How many minutes did Emily spend watching the two movies?

a)

217 Minutes

b)

218 Minutes

c)

317 Minutes

d)

27 Minutes

32.

Aaron and David’s hot air balloon rises 218 feet. Then it rises 124 feet more. How many feet did the hot air balloon rise in all?

a)

332 Feet

b)

334 Feet

c)

342 Feet

d)

432 Feet

33.

The number of students brought their application to join the after-school clubs.

• Monday: 435 students

• Tuesday: 255 students

What is the total number of students that joined the after-school clubs?

a)

690

b)

180

c)

280

d)

580

34.

What is the slope and y-intercept of the line?

6x + 2y = 5

a)

m = -6;

b = -5

b)

m = 3;

b = -5/2

c)

m = 6;

b = 5

d)

m = -3;

b = 5/2

35.

Lisa had to wait 100 minutes before she could get on her flight to Disney.

• For 22 minutes, she worked on a puzzle.

• For 38 minutes, she listed to some music.

• The rest of the time she talked to her friend on the phone.

How many minutes did Lisa talk to her friend?

a)

160

b)

60

c)

40

d)

Not Here

36.

Gregg had 101 Pokémon cards. He gave 25 of the figures to his best friend. Then he bought 13 more Pokémon cards. How many Pokémon cards did Gregg have then?

a)

139

b)

113

c)

89

d)

63

37.

Alyssa had a goal to practice the piano for 400 minutes during the summer.

• In June she practiced 165 minutes.

• In July she practiced 140 minutes.

How many more minutes does she need to practice in August in order to reach her goal?

a)

95

b)

305

c)

705

d)

Not Here

38.

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

39.

Find ∠KLM

a)

138.64°

b)

137.46°

c)

137°

d)

138°

40.

a)

p=1000, n=5/3

b)

p=2, n=8/2

c)

p=0, n=5/3

d)

p=1000, n=8/2

41.

Variable x and y are related by the equation y^2 = p x^q. When the graph log y against log x is drawn, the resulting straight line has a gradient of -2 and an vertical intercept of 0.5 . Calculate the value of p and of q.

a)

p=10, q=-3

b)

p=5, q=1/2

c)

p=10, q=-4

d)

p=5, q=-2

42.

Variable x and y are related by the equation y=c/d-x. When the graph y against xy is drawn the resulting line has gradient 0.25 and an intercept on they-axis of 1.25. Calculate the value of c and of d.

a)

c=5, d=4

b)

c=6, d=2

c)

c=1.5, d=1/4

d)

c=0.75, d=1.67

43.

The diagram shows a line of best fit by plotting a graph of y^2 against x^1/2. Find the equation of the line of best fit.

a)

y^3=2x^1/3 / 5+2

b)

y=2x^2 / 4+2

c)

y=2x / 5+6

d)

y^2=2x^1/2 / 5+4

44.

a)

A

b)

B

c)

C

d)

D

e)

E

45.

a)

( $\frac{1}{5}$ , $\frac{3}{19}$ )

b)

( $\frac{19}{3}$ , 5)

c)

(5, $\frac{19}{3}$ )

d)

( $\frac{3}{19}$ , $\frac{1}{5}$ )

46.

Find 3u - 2v

a)

15

b)

<21,-6>

c)

-15

d)

<-21,6>

47.

The number of students in a school decreased from 1600 students in the year 2017 to 1520 students in the year 2018. Calculate the index number to show the change in the number of students in they year 2018 based on the year 2017.

a)

97

b)

100

c)

95

d)

98

48.

Calculate the length of PQ

a)

8.794 cm

b)

12.32 cm

49.

Calculate the length of KM

a)

11.3 cm

b)

11.2 cm

c)

11.26 cm

50.

Calculate the length of EF

a)

17 cm

b)

18 cm

c)

17.2 cm

d)

17.25 cm

51.

a)

$1$

b)

$97$

c)

$9$

d)

$-1$

52.

a)

$1$

b)

$97$

c)

$9$

d)

$-1$

53.

(a)

54.

a)

$x=1.447\ ,\ \ x=0.553$

b)

$x=1.447\ ,\ \ x=0.552$

c)

$x=1.45\ ,\ \ x=0.553$

d)

$x=10.447\ ,\ \ x=9.553$

55.

a)

$x^2-3x+2=0$

b)

$3x^2-3x-2=0$

c)

$x^2-3x-2=0$

d)

$x^2+3x-2=0$

56.

a)

$k<5$

b)

$k>5$

c)

$k<-5$

d)

$k>-5$

57.

a)

$p=8$

b)

$p=-4$

c)

$p=4$

d)

$p=-8$

58.

a)

$f\left(x\right)=\left(x+2\right)^2-9$

b)

$f\left(x\right)=\left(x-2\right)^2+9$

c)

$f\left(x\right)=\left(x-2\right)^2-9$

d)

$f\left(x\right)=\left(x-1\right)^2-9$

59.

Solve the following linear equation.
Selesaikan persamaan linear yang berikut.

r+2p-q=-6

2r+2p-2q=-8

3r-2p+5q=22

a)

$p=-3\ ,\ q=2\ ,\ r=2$

b)

$p=2\ ,\ q=3\ ,\ r=-1$

c)

$p=-2\ ,\ q=3\ ,\ r=1$

d)

$p=6\ ,\ q=8\ ,\ r=-2$

60.

Solve the following linear equation.
Selesaikan persamaan linear yang berikut.
$2x+2y-z=-8$
$x-3y+2z=2$
$\frac{1}{3}x+y-3z=-12$

a)

$x=3\ ,\ y=-1\ ,\ z=4$

b)

$x=-3\ ,\ y=1\ ,\ z=4$

c)

$x=-5\ ,\ y=3\ ,\ z=2$

d)

$x=5\ ,\ y=3\ ,\ z=-2$

61.

a)

$k>-1\ ,\ k<3$

b)

$-1\le k\le3$

c)

$k<-1\ ,\ k>3$

d)

$-1<k<3$

62.

Suatu persamaan kuadratik mempunyai dua punca yang sama. Apakah rumus yang patut digunakan untuk menyelesaikannya?

a)

$b^2-4ac=0$

b)

$b^2-4ac>0$

c)

$b^2-4ac<0$

d)

$b^2-4ac\ge0$

63.

Diberi $g(x)=3x-1$ , cari nilai $g\left(4\right)$

a)

10

b)

11

c)

12

d)

13

64.

Persamaan kuadratik $(k+3)x^2-12x+2k=0$ mempunyai dua punca yang berbeza. Cara untuk mencari julat k adalah:

a)

$\left(-12\right)^2-4\left(k+3\right)\left(2k\right)=0$

b)

$\left(12\right)^2-4\left(k+3\right)\left(2k\right)>0$

c)

$\left(-12\right)^2-4\left(k+3\right)\left(2k\right)>0$

d)

$\left(-12\right)^2-4\left(k+3\right)\left(2k\right)<0$

65.

Rumus untuk membentuk persamaan kuadratik adalah

a)

$x^2+(HTP)x+HDP=0$

b)

$x^2-(HTP)x-HDP=0$

c)

$x^2-(HTP)x+HDP=0$

d)

$x^2+(HTP)x-HDP=0$

66.

Diberi fungsi kuadratik $f(x)=a\left(x+p\right)^2+9$ , apakah paksi simetri bagi fungsi kuadratik tersebut?

a)

$p$

b)

$x=p$

c)

$x=-p$

d)

$-p$

67.

Diberi $f:x→4x-1$ dan $g:x→x^2+3$ , carikan $fg\left(3\right)$

a)

11

b)

12

c)

47

d)

48

68.

Evaluate the following logarithm:

log₄16

a)

1

b)

-2

c)

2

d)

¹/₂

69.

Rewrite log₂8 = 3 in exponential form

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

70.

Solve for x

a)

x = 8

b)

x = 4

c)

x = 256

d)

x = 32

71.

Condense into a single logarithm.

a)

A

b)

B

c)

C

d)

D

72.

The 3rd term and the 5th term of a G.P. are 2 and 1/8 respectively. If all the terms are positive, find the sum to infinity of the progression.

a)

$45\frac{1}{3}$

b)

$42\frac{2}{3}$

c)

$45\frac{1}{4}$

d)

$47\frac{1}{3}$

73.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

74.

Write the equation of the circle.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

75.

The endpoints of a diameter of a circle are (3,1) and (9,5). Find the equation of the circle.

a)

(x − 6)²+ (y − 3)²= 13

b)

(x − 3)²+ (y − 6)²= 169

c)

(x − 5)²+ (y − 9)²= 13

d)

(x − 9)²+ (y − 5)² = 42.25

76.

$ax^2+bx+c=0$
What are the sum and product of roots?

a)

Sum = $-\frac{b}{a}$ and Product = $-\frac{c}{a}$

b)

Sum = $-\frac{b}{a}$ and Product = $\frac{c}{a}$

c)

Sum = $\frac{b}{a}$ and Product = $-\frac{c}{a}$

d)

Sum = $\frac{b}{a}$ and Product = $\frac{c}{a}$

77.

Rationalize the denominator:
$\frac{\sqrt{5}}{2\sqrt{3}}$

a)

$\frac{\sqrt{15}}{6}$

b)

$\frac{\sqrt{15}}{18}$

c)

$\frac{5\sqrt{3}}{6}$

d)

$\frac{5\sqrt{3}}{18}$

78.

What is the area of a rectangle with dimensions listed below:

length = 10x⁷

width = 7x⁵

a)

70x¹²

b)

70x³⁵

c)

17x¹²

d)

17x³⁵

79.

Find the coefficient of x³ in the expansion of (1 + x)²⁰

a)

1140

b)

190

c)

4845

d)

8000

80.

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

a)

-25

b)

25

c)

113

d)

-113

81.

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

a)

0

b)

2x-10

c)

-2x-10

d)

2x+10

82.

What are the three factors for
(x³ -3x² -4x +12) ÷ (x + 2)?

a)

(x-2) (x+2) (x+3)

b)

(x-2) (x-2) (x+3)

c)

(x+2) (x+2) (x+3)

d)

(x-2) (x+2) (x-3)

83.

Expand and simplify $\left(\sqrt{2}+\sqrt{3}\right)^2$

a)

$2+5\sqrt{6}$

b)

$5+3\sqrt{2}$

c)

$5+2\sqrt{6}$

d)

$5+6\sqrt{2}$

84.

Find the number of ways of arranging 10 children in a circle.

4 lines

85.

There are five cards of different letters. Calculate the numbers of these arrangements in which the letter O and I are side by side.

L O G I N

4 lines

86.

The correct method to convert $56^{\degree}$ to radian is.........

a)

$56+\frac{180}{\pi}$

b)

$56\times\frac{180}{\pi}$

c)

$56\times\frac{\pi}{180}$

d)

$56+\frac{\pi}{180}$

87.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

88.

Calculate the area of ∆ ABC with the vertices A (-5, 5), B (-2, -4),

C (4, -1).

a)

31 1/2

b)

31

c)

63

d)

63 1/2

89.

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

a)

y = (-3/5)x + 2

b)

y = (-3/5)x -2

c)

y = (3/5)x + 2

d)

y = (5/3) + 2

90.

Write as one logarithm. Simplify, if possible.

log₃9 + log₃27

a)

log₃3

b)

log₃243

c)

log₃1/3

d)

not possible

91.

Use the change of base formula and your calculator to approximate the log.

a)

A

b)

B

c)

C

d)

D

92.

$3^2=9$

Write this expression in logarithmic form

a)

$\log_39=2$

b)

$\log_93=2$

c)

$\log_32=9$

d)

$\log_92=3$

93.

Solve.

$\log_464=?$

a)

4

b)

2

c)

3

d)

5

94.

Solve.

$\log1000=?$

(a)

95.

Solve

$\log_232=?$

(a)

96.

Solve

$\log_6?=2$

a)

12

b)

128

c)

64

d)

36

97.

What is the domain of $y=\log_3\left(x-3\right)-2$

a)

$\left(-\infty,\infty\right)$

b)

$\left(-2,\infty\right)$

c)

$\left(3,\infty\right)$

d)

$\left(-3,\infty\right)$

98.

Solve

$\log_4?=3$

(a)

99.

What is the x-Intercept of $y=\log_3\left(x-3\right)-2$

a)

$\left(0,12\right)$

b)

$\left(12,0\right)$

c)

$\left(-12,0\right)$

d)

$\left(0,12\right)$

100.

What is the domain?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

101.

Which of the following is the correct asymptote for this function?

$f\left(x\right)\ =\ \ln\left(x+3\right)-6$

a)

x = 3

b)

x = -3

c)

y = - 6

d)

y = 6

102.

Rewrite in exponential form:

log₉x=2

a)

9^x=2

b)

2^x=9

c)

2⁹=x

d)

9²=x

103.

Write the equation in logarithmic form.
$e^{\left(x-9\right)}=74$

a)

$\ln\left(x-9\right)=74$

b)

$x-9=\ln74$

104.

What is the vertical asymptote of the equation $y=\log_5\left(x+3\right)+5$ ?

a)

x = -3

b)

y = -3

c)

x = 5

d)

y = 5

105.

What is the domain of $y=\log_3\left(x-3\right)-2$ ?

a)

$\left(-\infty,\infty\right)$

b)

$\left(-2,\infty\right)$

c)

$\left(3,\infty\right)$

d)

$\left(-3,\infty\right)$

Form 4 Add Math Quiz

Total questions: 105

Worksheet time: 1hrs 19mins

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