Free Printable IG Math G6 S2 Progress Review 2

1.

A rational number

a)

is a number that can be written as a fraction.

b)

is always positive.

c)

can be a repeating decimal.

d)

is a fraction but not a decimal.

2.

Irrational numbers

a)

never end and never repeat.

b)

can be positive or negative.

c)

reduce to $\pi$

d)

are square roots of perfect squares.

3.

A terminating decimal is

a)

rational.

b)

irrational.

4.

The square root of a perfect square is

a)

irrational.

b)

rational.

5.

Identify the rational numbers.

a)

$\sqrt{64}$

b)

$3\pi$

c)

$\frac{4}{5}$

d)

$0.15151515...$

e)

0

6.

Identify the rational numbers.

a)

$\sqrt{120}$

b)

$\sqrt{36}$

c)

$\sqrt{220}$

d)

$\sqrt{1000}$

7.

$3\sqrt{5}+2\sqrt{5}\ =\ ?,\ so\ the\ result\ is\ ?$

a)

$5\sqrt{10},\ irrational$

b)

$5\sqrt{5},\ irrational$

c)

$6\sqrt{5},\ irrational$

d)

$6\sqrt{10},\ irrational$

8.

$4\pi\ -\ 4\pi\ =\ ?,\ which\ is\ ?$

a)

rational

b)

irrational

9.

$\sqrt{7}\cdot\ \sqrt{3}\ =\ ?,\ which\ is\ ?$

a)

rational

b)

irrational

10.

$\sqrt{7}\ \cdot\ \sqrt{7}\ =\ ?,\ which\ is\ ?$

a)

rational

b)

irrational

11.

Expand the following brackets:

3 (d+4)

a)

3d + 4

b)

3d + 12

c)

d + 12

d)

3 + 4

12.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

13.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

14.

30(g + f)

a)

30g + 30f

b)

30g

c)

30f

15.

Which of the following is the correct expansion of:
5(r - 2)?

a)

5r - 2

b)

5r +2

c)

5r + 10

d)

5r - 10

16.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

17.

Which of the following is the correct expansion of:
3p(4p - 7q)?

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

18.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

19.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

20.

4(d + e)

a)

4d + 4e

b)

4d + e

c)

4 + 4e

d)

d + e

21.

3(4 + c)

a)

12 + 3c

b)

7 + c

c)

3 + 3c

d)

4 + c

22.

Expand (x + 5)(x + 4)

a)

x² + 9x + 20

b)

x² + 20x + 20

c)

5x² + 20

d)

x² + 6x + 9

23.

(x+2)(x+3)

a)

x² + 5x + 6

b)

x² + 6x + 5

c)

x²+ 7x + 5

d)

x² + 6x + 6

24.

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

a)

6x²+ 6x + 6

b)

5x² + 11x + 6

c)

6x² + 13x + 6

d)

6x²+ 13x + 5

25.

Expand (x + 2)(x - 4)

a)

x² - 2x - 8

b)

x² + 2x - 8

c)

x² - 2x + 8

d)

x² + 2x + 8

26.

(4x + 2)(x - 1)

a)

4x² - 7x - 2

b)

4x² - 2x - 2

c)

4x² - 9x - 2

d)

4x² - 7x - 2

27.

Expand and simplify the following quadratic expression...

(x + 7)²

a)

x² + 49

b)

x² + 14x + 49

c)

x² + 49x + 14

d)

x² + 7x + 49

28.

Expand and simplify the following quadratic expression...

(x + 4)²

a)

x² + 16

b)

x² + 8x + 16

c)

x² + 4x + 16

d)

x² + 16x + 8

29.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

30.

Factor by grouping:

5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

31.

Factor by grouping:

x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

32.

Factor by grouping:

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

33.

Factor by grouping:

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

34.

Factor by Grouping:
7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

35.

Factor
-10xy⁹z + 8y³z⁵

a)

-2y⁴z(20xy⁶ - 4z⁴)

b)

-2y³z(5xy⁶ - 4z⁴)

c)

-2y³z(5xy⁶z - 4z⁵)

d)

-2y³z(5xy⁶z - 8z⁴)

36.

what is the greatest common factor of the three terms in the expression
-24m³n⁵p + 24mn⁴p² + 4mn⁵

a)

4mn

b)

24mn⁴

c)

4mn⁴

d)

4mn⁴p

37.

Factor
-8x²y² + 32yz + 40y

a)

-8z(x² - 4z - 1)

b)

-8y(4x²y² - 16yz - 20y)

c)

-8y(x²y - 4z - 5)

d)

-4y (2x²y - 40z - 10)

38.

Factor by GCF:
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

39.

Factor:
2n³+16n+12

a)

2n(n³+24n+6)

b)

2(n³+8n+6)

c)

2n(n³+8n+6)

d)

3(n³+8n+6)

40.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

41.

Round this number to 1 significant figure

7643

a)

7000

b)

8

c)

8000

d)

7

42.

Round this number to 1 significant figure

13.176

a)

10

b)

13

c)

13.2

d)

1

43.

What is 0.658 rounded to 1 significant figure?

a)

0

b)

0.66

c)

0.7

d)

0.658

44.

Round 1235 to 2 significant figures.

a)

12

b)

1200

c)

1300

d)

1200.00

45.

What is 0.7555 rounded to two significant figures?

a)

0.8

b)

76

c)

0.76

d)

0.7

46.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

47.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

48.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

49.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

50.

-7x + 15 ≥ -20

a)

x ≥ -5

b)

x ≤ -5

c)

x ≥ 5

d)

x ≤ 5

51.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

52.

A new tree you just planted will grow to be at most 35 feet tall. It is currently 6 feet tall.

Which of the following inequalities could be used to find all the possible values of how many more feet, ft, it will grow?

a)

6 + x ≥ 35

b)

6 + x > 35

c)

6 + x < 35

d)

6 + x ≤ 35

53.

The temperature for the day starts at 37 degrees and rises to at least 60 degrees.

Which of the following inequalities could be used to find all the possible values of x, the amount the temperature could rise?

a)

37 + x > 60

b)

37 + x ≥ 60

c)

37 + x < 60

d)

37 + x ≤ 60

54.

You are saving money to buy a new bicycle that costs at least $150. You currently have $45 saved.

Which of the following inequalities could be used to find all the possible values of x, the additional amount you need to save?

a)

45 + x ≥ 150

b)

45 + x ≤ 150

c)

45 + x > 150

d)

45 + x < 150

55.

A car rental company charges $25 per day. You have a budget of no more than $200 for the rental.

Which of the following inequalities could help you determine the maximum number of days, d, you can rent the car?

a)

25d < 200

b)

25d ≤ 200

c)

25d > 200

d)

25d ≥ 200

56.

You and your friends plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. How many rides can you go on if you have $20?

a)

20 rides

b)

30 rides

c)

40 rides

d)

50 rides

57.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

58.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

59.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

60.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

61.

Identify the correct statement.

a)

∠1 & ∠2
are corresponding angles

b)

∠2 & ∠4
are corresponding angles

c)

∠5 & ∠8
are corresponding angles

d)

∠1 & ∠5
are corresponding angles

62.

Find the measure of x.

a)

x=115

b)

x=75

c)

x=105

d)

x=65

63.

Find the measure of x and y.

a)

x=135

y=135

b)

x=45

y=45

c)

x=60

y=60

d)

x=120

y=120

64.

Solve for x.

a)

16

b)

11

c)

50

d)

6

65.

Find the value of x if the $m\angle1\ =\ 12x+19\degree$ and the $m\angle2\ =\ 22x-9\degree$ .

a)

-2.8

b)

2.8

c)

-5

d)

5

66.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

67.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

68.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

69.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

70.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

71.

Find the angle sum of the interior angles of the polygon.

a)

180°

b)

540°

c)

720°

d)

1080°

72.

Find the missing angle.

a)

75

b)

85

c)

100

d)

45

73.

What is the measure of each interior angle of a Regular Polygon?

a)

S = (n-2)*180

b)

S = ((n-2)*180)/n

c)

S = (n-2)*360

d)

360/n

74.

What is the measure of ONE interior angle of a regular 20-gon?

a)

90

b)

146

c)

162

d)

122

75.

What is the value of x?

a)

26.25

b)

38.75

c)

24

d)

25.125

76.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

77.

Solve for the missing variable.

a)

255°

b)

90°

c)

60°

d)

105°

78.

Which of the graphs shows that one of runners started 10 yards further ahead of the

other?

a)

b)

c)

d)

79.

Match the description to the graph:

"The car is stopped."

a)

b)

c)

d)

80.

Match the description to the graph:

"The car is traveling at a constant speed."

a)

b)

c)

d)

81.

Segment A-B The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

82.

Segment D-E The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

83.

Which runner won the race?

a)

Albert

b)

Bob

c)

Charlie

84.

Which runner stopped for a rest?

a)

Albert

b)

Bob

c)

Charlie

85.

The graph shows the movement of an object.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

86.

According to the graph how far does the person travel in the first 5 seconds?

a)

2 m

b)

10 m

c)

0 m

d)

5 m

87.

A student walks 2.0 km in a time of 30 minutes. The student then stop for 15 minutes to eat a snack then travels 1.0 km in 15 minutes.

Which graph shows the journey described?

a)

b)

c)

d)

88.

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way. Here is the distance-time graph for the journey.

How far was Edward from home when he visited Nicola?

a)

30 miles

b)

40 miles

c)

10 miles

d)

45 miles

89.

Anne cycles from Bristol to Salisbury.

The diagram shows the distance-time graph of her journey.

What is Anne's speed for the first two hours of her journey?

a)

40 mph

b)

30 mph

c)

20 mph

d)

10 mph

90.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

91.

a)

900 in3

b)

900 ft3

c)

900 m2

d)

900 in2

92.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

93.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

94.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

95.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

96.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

a)

810 cm³

b)

2543.4 cm³

c)

847.8 cm³

d)

2826 cm³

97.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

98.

What is the surface area of a cube of edge length 4 cm?

a)

$576\ cm^2$

b)

$96\ cm^2$

c)

$16\ cm^2$

d)

$64\ cm^2$

99.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the surface area of this cylinder.

a)

810 cm²

b)

2543.4 cm²

c)

847.8 cm²

d)

1073.88 cm²

100.

What is the surface area formula for a cylinder?

a)

SA = πrl + πr²

b)

SA = 2πrh + 2πr²

c)

SA = 4πr²

d)

SA = πr²h

101.

If the dimensions of a cuboid are 3 cm, 4 cm and 10 cm, then the volume of the cuboid is ____

a)

82 cm³

b)

120 cm³

c)

240 cm³

d)

164 cm³

102.

a)

2

b)

4

c)

-2

d)

0

103.

a)

-4

b)

-32

c)

4

d)

-2

104.

a)

A

b)

B

c)

C

d)

D

105.

a)

A

b)

B

c)

C

d)

D

106.

The location where the line crosses the y-axis is called the...

a)

slant

b)

slope

c)

y-intercept

d)

x-intercept

107.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

108.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

109.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

110.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

111.

Reflect over the x axis and find K'.

a)

(4, 1)

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

112.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

113.

Graph the reflection with line of reflection y=x. Point C is currently located at (3,1). What are the new coordinates of C' ?

a)

(3, 1)

b)

(1, 3)

c)

(-3, -1)

d)

(-3, 1)

114.

Triangle ABC was reflected over the x-axis.

Where will point A' be located?

A

B

C

D

E

115.

Point A (2,3) is moved left 4 and up 3. Where is A'?

A

B

C

D

116.

Parallelogram ABCD was translated using the following rule $\left(x,y\right)\rightarrow\left(x-4,\ y+2\right)$ .

Correctly identify the points of the new image to create A'B'C'D'.

A

B

C

D

E

F

G

H

I

J

117.

Graph the line $y=2x+4$

118.

Graph the equation $y=-x+1$

119.

Graph the line $y=x$

120.

Graph the line $y=-x$

IG Math G6 S2 Progress Review 2

Total questions: 120

Worksheet time: 5hrs 41mins

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