Free Printable PRACTICES QUESTION ON 2ND TERM WORK AND SSCE 2022

1.

Match this number line

to its correct solution.

a)

x > 2

b)

x > 2

c)

x < 2

d)

x < 2

2.

Match this number line

to its correct solution.

a)

x > -2

b)

x < -2

c)

x > -2

d)

x < -2

3.

Match this number line

to its correct solution.

a)

x > -2

b)

x > -2

c)

x < -2

d)

x < -2

4.

Match this number line

to its correct solution.

a)

b)

c)

d)

5.

Solve the linear inequality.

a)

x < 0

b)

x > 0

c)

x < 3

d)

x > 3

6.

Solve the linear inequality.

a)

x > 1

b)

x > 5

c)

x > -1

d)

x < -1

7.

Solve the linear inequality.

a)

x < 5

b)

x > 5

c)

x < 5

d)

x > 5

8.

Solve the linear inequality.

-5x < 15

(Note: When dividing

by a negative,

'flip' the inequality symbol.)

a)

x > 3

b)

x < 3

c)

x > -3

d)

x < -3

9.

Solve the linear inequality.

a)

y > -14 / 3

b)

y < -14 / 3

c)

y > -6

d)

y < -6

10.

Which of the following inequalities matches the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

11.

Which of the following inequalities matches the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

12.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

13.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

14.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

15.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

16.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

17.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

18.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

19.

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.

20.

$w^2+7w+4=0$

a)

$\frac{-7\pm\sqrt{33}}{2}$

b)

$\frac{-7\pm\sqrt{65}}{2}$

c)

$\frac{7\pm\sqrt{33}}{2}$

d)

$\frac{-7\pm3\sqrt{11}}{2}$

21.

$5x^2+3x-3=0$

a)

$\frac{-3\pm i\sqrt{51}}{10}$

b)

$\frac{-3\pm\sqrt{69}}{10}$

c)

$\frac{3\pm\sqrt{69}}{2}$

d)

$\frac{-3\pm3\sqrt{23}}{10}$

22.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

23.

$t^2+4t=2$

a)

$\frac{-4\pm\sqrt{24}}{2}$

b)

$4\pm2\sqrt{6}$

c)

$-2\pm\sqrt{6}$

d)

$\frac{4\pm3\sqrt{8}}{2}$

24.

$2d^2+4=5d$

a)

$\frac{5\pm i\sqrt{7}}{4}$

b)

$\frac{-5\pm\sqrt{7}}{4}$

c)

$\frac{5\pm i\sqrt{57}}{4}$

d)

$\frac{-5\pm\sqrt{57}}{2}$

25.

$3n^2-8n+3=-4$

a)

$\frac{8\pm\sqrt{20}}{6}$

b)

$\frac{4\pm i\sqrt{5}}{3}$

c)

$\frac{8\pm5i\sqrt{2}}{6}$

d)

$\frac{4\pm\sqrt{-20}}{3}$

26.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

27.

b² would equal: y = 2x² -x -3

a)

2

b)

-1

c)

1

d)

-3

28.

b² - 4ac would equal: y = 2x² -x -3

a)

25

b)

-23

c)

-25

d)

0

29.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

30.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

31.

Write down the coordinates of the minimum point.

(a)

32.

What piece of information does c identify in the following equation?

y=ax²+bx+c

a)

x-intercept

b)

line of symmetry

c)

coordinates of minimum point

d)

y-intercept

33.

The point (2, -4) is the ___________________ point of the graph.

a)

minimum

b)

maximum

34.

What is the equation for the line of symmetry of the graph?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

35.

Which of the following could be an equation to this graph?

a)

$y=2x-3$

b)

$y=-3x^{2\ }+4x-1$

c)

$x=5$

d)

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

36.

State the equation of the line of symmetry of this graph.

(a)

37.

State the y-intercept of $y=4x^{2\ }-5x+1$ .

a)

4

b)

5

c)

1

d)

0

38.

A quadratic graph has an equation $y=-3x^2+5$ . Will this graph has a minimum point of a maximum point?

a)

Minimum point

b)

Maximum point

39.

State the coordinates of the minimum point of this graph.

(a)

40.

What is the equation for the line of symmetry of the graph?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

41.

State the equation of the line of symmetry of this graph.

(a)

42.

Which of the following could be an equation to this graph?

a)

$y=2x-3$

b)

$y=-3x^{2\ }+4x-1$

c)

$x=5$

d)

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

43.

State the y-intercept of $y=4x^{2\ }-5x+1$ .

a)

4

b)

5

c)

1

d)

0

44.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

45.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

46.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

47.

Rewrite the following equation in exponential form:
$\log_636=2$

a)

$36^2=6$

b)

$2^6=36$

c)

$6^2=36$

d)

$2^{36}=6$

48.

Rewrite the following equation in exponential form:
$\log_381=4$

a)

$4^3=81$

b)

$3^4=81$

c)

$81^3=4$

d)

$4^{81}=3$

49.

Rewrite the equation in exponential form:
$\log_vu=4$

a)

$v^4=u$

b)

$4^v=u$

c)

$v^u=4$

d)

$u^4=v$

50.

Rewrite the equation in logarithmic form:
$64^{\frac{1}{2}}=8$

a)

$\log_{64}8=\frac{1}{2}$

b)

$\log_864=\frac{1}{2}$

c)

$\log_{64}\ \frac{1}{2}=8$

d)

$\log_8\ \frac{1}{2}=64$

51.

Rewrite the equation in logarithmic form:
$9^{-2}=\frac{1}{81}$

a)

$\log_29=\frac{1}{81}$

b)

$\log_9\ \left(-2\right)=\frac{1}{81}$

c)

$\log_2\ \left(\frac{1}{81}\right)=9$

d)

$\log_9\ \frac{1}{81}=-2$

52.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

53.

How are exponentials and logarithms related?

a)

They're cousins

b)

They're inverses

c)

They're not related

d)

They're reciprocals

54.

Find the Inverse of $y\ =\ \log_4\left(x-1\right)$

a)

$y=x$

b)

$y=\log_34^x$

c)

$y=4^x+1$

d)

$y=4^{x+1}$

55.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

56.

Write equation in exponential form. $\log_2128=7$

a)

$7^2=128$

b)

$2^7=128$

c)

$128^2=7$

d)

$2^{128}=7$

57.

Write equation in exponential form. $\log_3\frac{1}{27}=-3$

a)

$-3^3=\frac{1}{27}$

b)

$\frac{1}{27}^3=-3$

c)

$\frac{1}{27}^{-3}=3$

d)

$3^{-3}=\frac{1}{27}$

58.

Write the equation in logarithmic form. $27^{\frac{2}{3}}=9$

a)

$\log_{\frac{2}{3}}9=27$

b)

$\log_{27}\frac{2}{3}=9$

c)

$\log_{27}9=\frac{2}{3}$

d)

$\log_927=\frac{2}{3}$

59.

Evaluate the logarithm. Type in the number only for the answer.

$\log_232$

(a)

60.

Evaluate the logarithm. Type in the number only for the answer.

$\log_2\frac{1}{16}$

(a)

61.

$What\ are\ the\ factors\ of\ \ x^2\ -5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x - 1)(x +6)

c)

(x+2)(x-3)

d)

(x +1)(x -6)

62.

$What\ are\ the\ factors\ of\ \ x^2\ +5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x +1)(x +6)

c)

(x+2)(x+3)

d)

(x -1)(x -6)

63.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

64.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

65.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

66.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

67.

The final factors of 4x²- 64y²are :

a)

4( x - 4y) (x + 4y)

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

68.

What is the factored form of x³+7x²-2x-14?

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

69.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

70.

What is the factored form of x² +y²- z² - 2xy?

a)

(x - y - z)(x - y+z)

b)

(x + y - z)(x - y - z)

c)

(x - y + z)(x + y+z)

d)

(x - y - z)(x + y+z)

71.

Which of the following is not a quadratic equation

a)

x² + 3 x – 5 = 0

b)

x² + x³ + 2 = 0

c)

3 + x + x² = 0

d)

x² – 9 = 0

72.

The quadratic equation has degree

a)

0

b)

1

c)

2

d)

3

73.

The quadratic equation whose one of the roots is 1:

a)

2x² + x – 1 = 0

b)

2x² – x – 1 = 0

c)

2x² + x + 1 = 0

d)

2x² – x + 1 = 0

74.

If one root of the quadratic equation

$x^2-11x+k=0$ is 9 then find the value of k.

a)

18

b)

-18

c)

81

d)

28

75.

Solve the quadratic equation by Completing square

x^2+3x+1=0

a)

$x=x=\frac{-9+\sqrt{5}}{4};x=\frac{-9-\sqrt{5}}{4}$

b)

$x=\frac{-3+\sqrt{5}}{2};\ x=\frac{-3-\sqrt{5}}{2}$

76.

Solve the quadratic equation by Formula method

m^2+4m=1

a)

$m=-2+\sqrt{5};\ x=-2-\sqrt{5}$

b)

$x=+4+\sqrt{5};\ x=\ +4-\sqrt{5}$

77.

Find the solution of the given simultaneous equations.

y\ =\ 2x-3

3x-2y=4

a)

(2, 1)

b)

$\left(-\frac{7}{3},-\frac{23}{3}\right)$

c)

(-7, -17)

d)

(7, 4)

e)

no solution

78.

Find the solution of the given simultaneous equation.
$3x+2y=3$
$5x+3y=4$

a)

(-1,3)

b)

(17, -12)

c)

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

d)

(-6, 3)

e)

no solution

79.

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

a)

pencil: 13 cents

ruler: 23 cents

b)

pencil: 15 cents

ruler: 23.50 cents

c)

pencil: 12 cents

ruler: 25 cents

d)

pencil: 18 cents

ruler: 26 cents

80.

I have only 2 cent and 5 cent coins. The total number of coins is 25, and their total value is 92 cents. How many of each coin do I have?

a)

number of 2 cent coins: 16

number of 5 cent coins: 9

b)

number of 2 cent coins: 8

number of 5 cent coins: 17

c)

number of 2 cent coins: 13

number of 5 cent coins: 12

d)

number of 2 cent coins: 11

number of 5 cent coins: 14

81.

Solve simultaneously.

y=2x+1

y=-x-5

a)

(4, -9)

b)

(-2, -3)

c)

(7, 3)

d)

(-4, -7)

e)

no solution

82.

John is two years older than Paula. Three times John's age plus four times Paula's age is 55 years. How old are John and Paula?

a)

John is 11 years old and Paula is 9 years old.

b)

John is 5 years old and Paula is 3 years old.

c)

John is 9 years old and Paula is 7 years old.

d)

John is 14 years old and Paula is 12 years old.

83.

Find the solution of the simultaneous equations given the graph.

a)

(0, 2)

b)

(2, 2)

c)

(-1, 3)

d)

no solution

84.

Solve the Simultaneous Equations: x+y=5; x-y=1

a)

x=2, y=3

b)

x=3, y=2

c)

x=3, y=-2

d)

x=-3, y=2

85.

Solve the Simultaneous Equations: a+b= 3; a-b= -7

a)

a=-2, b = 5

b)

a=2, b = -5

c)

a=2, b = 5

d)

a=-2, b = -5

86.

Solve the Simultaneous Equations: 2a+b=11; a+b=8

a)

a=-3, b=5

b)

a=3, b=-5

c)

a=3, b=5

d)

a=-3, b=-5

87.

Find the value of a.

a)

13.35

b)

12.91

c)

13.05

d)

12.83

88.

Find the value of c.

a)

19.43

b)

31

c)

15.16

d)

24.24

89.

Find the value of c.

a)

24.7

b)

28.2

c)

23.4

d)

25.3

90.

Find the missing angle θ

a)

27.98^o

b)

29.24^o

c)

26.75^o

d)

45^o

91.

Find the missing side x

a)

6.65cm

b)

1.74cm

c)

5.66cm

d)

7.14cm

92.

Find the missing side x

a)

6.39cm

b)

12.7cm

c)

7.31cm

d)

8.13cm

93.

What rule should you use?

a)

Sine

b)

Cosine

94.

Find the value of a.

a)

13.4

b)

12.9

c)

13.0

d)

12.8

95.

Find the value of b.

a)

19.3

b)

20.0

c)

18.5

d)

19.0

96.

What rule should you use?

a)

Sine

b)

Cosine

97.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

98.

Find the unknown side length, c.

a)

6.52

b)

6.38

c)

6.91

d)

6.67

99.

Find the missing angle θ

a)

27.9^o

b)

29.2^o

c)

26.8^o

d)

45^o

100.

Find the missing side x

a)

60.5mm

b)

10.3mm

c)

30.1mm

d)

58.1mm

101.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

102.

What rule should you use?

a)

Sine

b)

Cosine

103.

What rule should you use?

a)

Sine

b)

Cosine

104.

What information has been given here?

a)

SSS

b)

SAS

c)

AAS

d)

SSA

105.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

106.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

107.

solve for c

a)

7

b)

9

c)

4

d)

13

108.

Find x.

a)

35

b)

20

c)

8

d)

12

109.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

$x^2+y^2=z^2$

b)

$x^2+z^2=y^2$

c)

$y^2+z^2=x^2$

d)

$x+z=y$

110.

a)

11

b)

12

c)

9.8

d)

11.5

111.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

a)

7 m

b)

17 m

c)

23 m

d)

120 m

112.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

113.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

114.

What is the SINE ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

$\frac{\text{opposite}}{\text{adjacent}}$

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

115.

What is the COSINE ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

$\frac{\text{opposite}}{\text{adjacent}}$

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

116.

Which of the following is the correct acronym to help remember the three trigonometric ratios

a)

SOH COH TOA

b)

SAH COH TOA

c)

SOH CAH TOH

d)

SOH CAH TOA

117.

What is sin(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

118.

In the diagram, S is the midpoint of PQ. If $\tan x=\frac{2}{5}$ and $PR=10\ cm$ , then $\tan y=$

a)

$\frac{5}{8}$

b)

$\frac{4}{5}$

c)

$\frac{5}{4}$

d)

$\frac{5}{2}$

119.

In the diagram, $\sin x=\frac{3}{8}.$ The value of y is

a)

6.4

b)

8.6

c)

9

d)

12

120.

The diagram shows a flagpole that is supported by a wire QR. The angle PRQ, in degree, is

a)

30

b)

45

c)

50

d)

60

121.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

122.

How many students took the survey?

a)

32

b)

47

c)

53

d)

56

123.

How many senior boys play football and wrestle?

a)

9

b)

12

c)

18

d)

39

124.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

125.

What does the shaded region of the Venn diagram represent?

a)

P or S

b)

Only P or S

c)

P and S

d)

Only P and S

126.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

127.

If A = {{1,2}, 3, 5, {6}}, then {1,2} ⊆ A.

a)

TRUE

b)

FALSE

128.

If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?

a)

{1, 2, 3, 4, 5, 6, 7, 9}

b)

{1, 2, 3, 5}

c)

{4, 6, 7, 9}

d)

{ }

129.

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

130.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

131.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

B __ A

a)

⊂

b)

⊄

132.

the scores in a basketball match are as follows:
7,13,18,24,9,3,18
which score occurred most often?

a)

9

b)

13

c)

18

d)

24

133.

What is the median?

a)

biggest- smallest

b)

average

c)

the middle #

d)

# that happens the most

134.

What is the range of the set: 49, 68, 62, 47, 39, 54, 43

a)

25

b)

29

c)

31

d)

19

135.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the mean number of miles Jenna cycled?

a)

31

b)

36

c)

39

d)

41

136.

Which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?

a)

3

b)

6

c)

12

d)

11

137.

Which of the following is not a measure of dispersion?

a)

range

b)

variance

c)

standard deviation

d)

mode

138.

Find the standard deviation for the following data; 86, 95, 78, 67, and 85.

a)

82.2

b)

5

c)

9.33

d)

10.43

139.

A(n) ____ of a data set is much greater or much less than the other data values.

a)

mean

b)

median

c)

mode

d)

outlier

140.

Find the interquartile range of the data:

20, 22, 25, 29, 31

a)

30

b)

21

c)

25

d)

9

141.

Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3

a)

median:7 mode:3 range:10

b)

median:6 mode:3 range:7

c)

median:7 mode:3 range:8

142.

State the midpoint of the class interval (3.8 – 5.2).

a)

3.8

b)

4.5

c)

4.6

d)

5.2

143.

a)

A

b)

B

c)

C

d)

D

PRACTICES QUESTION ON 2ND TERM WORK AND SSCE 2022

Total questions: 143

Worksheet time: 4hrs 26mins

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