Free Printable End of Adv 6th Grade Placement Test Review

1.

-7/4 + 5/4

a)

1/2

b)

-1/2

c)

2

d)

-2

2.

-2/7 + (-2/3)

a)

-21/20

b)

21/20

c)

20/21

d)

-20/21

3.

-5/3 + 3/4

a)

-11/12

b)

11/12

c)

12/11

d)

-12/11

4.

Make sure your final answer is in simplest form.

a)

-\frac{7}{8}

b)

$\frac{7}{8}$

c)

$-\frac{63}{72}$

d)

$\frac{63}{72}$

5.

-3 3/4 ÷ 5 1/2
Make sure your final answer is in simplest form.

a)

-\frac{11}{23}

b)

$-\frac{15}{29}$

c)

$-\frac{3}{2}$

d)

$-\frac{15}{22}$

6.

$-43.7+9.06$

a)

52.76

b)

-34.64

c)

-52.76

d)

34.64

7.

$-2.005-19.19$

a)

21.195

b)

17.185

c)

-21.195

d)

-17.185

8.

$(-8.6)(-0.07)$

a)

0.602

b)

-0.62

c)

6.02

d)

-0.602

9.

$-0.937+\left(-16.5\right)$

a)

15.563

b)

17.437

c)

-15.563

d)

-17.437

10.

$-36.75\div5$

a)

0.735

b)

-7.35

c)

7.35

d)

-73.5

11.

How would the fraction 4/10 be written as a decimal?

a)

4.10

b)

0.4

c)

0.04

d)

40

12.

How would the decimal 0.3 be written as a fraction?

a)

3/10

b)

3/100

c)

1/3

d)

3/5

13.

Which fraction is equivalent to 3.7? (HINT: Answer is a mixed number)

a)

$\frac{37}{100}$

b)

$\frac{7}{10}$

c)

3 $\frac{7}{10}$

d)

3 $\frac{7}{100}$

14.

How would the decimal 0.08 be written as a fraction?

a)

8/10

b)

8/100

c)

1/8

d)

8/8

15.

Simplify the complex fraction shown.

a)

9/40

b)

40/9

c)

10/36

d)

5/18

16.

Simplify the complex fraction.

a)

18

b)

1/18

c)

9/72

d)

1/8

17.

Simplify the complex fraction.

a)

32/135

b)

7/61

c)

427

d)

1/427

18.

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

19.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

20.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

21.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

22.

Simplify the following expression by combining like terms:
(3b - 4) - (4b + 6)

a)

-b + 2

b)

-b - 10

c)

7b - 10

d)

7b + 2

23.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

24.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

25.

$\frac{1}{2}(t+8)$

a)

$\frac{1t}{2t}+\frac{8}{2}$

b)

$\frac{1}{2}t+8$

c)

$\frac{1}{2}t+4$

d)

$\frac{1}{2}t+\frac{8}{16}$

26.

Simplify the following expression.

$a\times a\times a$

a)

$a^3$

b)

3a

c)

$a\times3$

d)

3 + a

27.

Identify an equivalent expression by factoring.

15x + 10

a)

5(3x + 2)

b)

3x(5 + 2)

c)

1(5x + 0)

d)

5x(3x + 2)

28.

Identify an equivalent expression by factoring.

24x + 16

a)

8(3x + 2)

b)

2(4x + 8)

c)

8x(3 + 2x)

d)

3(8 + 2x)

29.

solve for w

a)

8/3

b)

32/3

c)

5/8

d)

-9/8

30.

x - 1/5 = 3/5

a)

5/6

b)

2/6

c)

4/5

d)

-4/5

31.

What is the perimeter of the rectangle?

a)

15 cm

b)

16 cm

c)

15 sq cm

d)

15 cm

32.

A rectangle with an area of 30 square units and a side length of 6 has another side length of?

a)

5 units

b)

6 units

c)

3 units

d)

4 units

33.

A perimeter of a rectangle is 34 meters. The width is 4 meters. What would the length be? (Hint: 2 sides are each 4 meters; the other 2 sides must each be equal!)

a)

17 m

b)

13 m

c)

15 m

34.

Choose the correct graph for:

6 > x

a)

A

b)

B

c)

C

d)

D

35.

Which inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

36.

Which number line best represents the solution to the inequality 5w ≥ 30

a)

A

b)

B

c)

C

d)

D

37.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

38.

Solve the inequality: 3x + 5 > 17

a)

x = 4

b)

x > 4

c)

x > 17

d)

x < 4

39.

Solve the inequality: 2c + 9 < 25

a)

c < 8

b)

c = 8

c)

c > 8

d)

c < 5

40.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

41.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

42.

You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?

a)

4 cookies per dollar

b)

6 cookies per dollar

c)

9 cookies per dollar

d)

1/9 dollars per cookie

43.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 32 minutes?

a)

10 customers

b)

7 customers

c)

8 customers

d)

12 customers

44.

Determine if the ratios are proportional.

4/5 and 15/20

a)

Yes

b)

No

45.

A unit rate is a ratio with:

a)

A denominator of 1

b)

A numerator of 1

46.

In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?

a)

4

b)

6

c)

8

d)

9

47.

What is the ratio to the picture shown, triangles to squares?

a)

5:6

b)

4:3

c)

2:6

d)

3:4

48.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

49.

Is the given table a proportional relationship? If so, what is the constant?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

50.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

51.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

52.

What is the scale factor from triangle ABC to triangle DEF?

a)

1/2

b)

7/14

c)

2

d)

10/20

53.

The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?

a)

16.67%

b)

20%

c)

2500%

d)

80%

54.

2% as a decimal:

a)

0.02

b)

0.2

c)

2

d)

20

55.

120% as a decimal:

a)

1.2

b)

12

c)

0.12

d)

120

56.

18% as a decimal:

a)

0.18

b)

18

c)

1.8

d)

0.81

57.

Original Price: $80

Discount: 20%

What is the selling price?

a)

$64

b)

$16

c)

$78.40

d)

$96

58.

What is 30.5% of 20?

a)

0.061

b)

0.61

c)

6.1

d)

61

59.

60 is what percent of 100?

a)

60%

b)

160%

c)

6%

d)

66%

60.

Original Price: $200

Markup: 80%

What is the selling price?

a)

$360

b)

$160

c)

$450

d)

$250

61.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

62.

If you choose from the following M & M colors, what is the probability that you choose blue?

5 green

6 yellow

8 blue

7 brown

a)

1/4

b)

4/13

c)

8/25

d)

1/3

63.

If you spin the spinner 90 times, how many times should the number 3 be selected?

a)

9

b)

15

c)

16

d)

30

64.

Bailey tossed a coin 10 times. The results were 7 heads and 3 tails.

What is the experimental probability of tossing tails?

a)

1/3

b)

3/10

c)

3/7

d)

1/2

65.

How many total outcomes are listed on the tree diagram below?

a)

8

b)

12

c)

10

d)

7

66.

Robin has five different pairs of shoes that match with 6 different pairs of socks. How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

a)

1

b)

30

c)

5!

d)

6!

67.

How many data items are on this Dot Plot?

a)

4

b)

5

c)

15

d)

10

68.

What is the Mode of this data?

a)

4

b)

2

c)

5

d)

15

69.

What is the blue colored part of this circle called?

a)

Circumference

b)

Diameter

c)

Radius

d)

Area

70.

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

a)

Radius

b)

Diameter

71.

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

a)

Radius

b)

Diameter

72.

Which segment is the diameter?

a)

DE

b)

BO

c)

AO

d)

AB

73.

If the radius of this circle is 9.5 inches, what is its Diameter?

a)

19 inches

b)

9.5 inches

c)

4.75 inches

d)

83.5 inches

74.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

75.

The diameter of a circle is 3 centimeters. What is the circumference?

a)

11.5cm

b)

9.42 cm

c)

unicorns are narwahls

d)

45.3 cm

76.

Can the sides of a triangle have lengths 3, 8, and 9?

a)

Yes

b)

No

77.

Determine whether the lengths could form a triangle:

3, 3, 6

a)

possible

b)

impossible

78.

Two angles added together to produce 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

79.

What kind of angles are shown?(45 + 135 = 180)

a)

complementary

b)

supplementary

c)

adjacent

d)

corresponding

80.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

81.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

82.

Find the volume of the rectangular prism.

a)

$30\ ft^3$

b)

$36\ ft^3$

c)

$12\ ft^3$

d)

$11\ ft^3$

83.

Lucas has a triangular prism that has a length of 6 cm a width of 4 cm and a height is 8 cm. What is the volume?

a)

96 cm³

b)

54 cm³

c)

192 cm³

d)

24 cm³

84.

Find the volume of this triangular prism.

a)

960 cm³

b)

240 cm³

c)

40 cm ³

d)

1920 cm³

85.

Find the surface area of this rectangular prism.

a)

$94\ cm^2$

b)

$60\ cm^2$

c)

$12\ cm^2$

d)

$51\ cm^2$

86.

What shape does the horizontal cross-section make?

a)

Triangle

b)

Rectangle

c)

Circle

d)

Trapezoid

87.

What shape does the vertical cross-section make?

a)

Triangle

b)

Square

c)

Circle

d)

Trapezoid

88.

Which transformation moves a geometric pre-image right, left, up or down?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

89.

Which transformation enlarges or reduces a pre-image?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

90.

Which transformation flips an image across either the x or y axis?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

91.

Which transformation pivots a pre-image around the origin either clockwise or counter clockwise?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

92.

If blue is the pre-image, describe the transformation

a)

Rotation 180^o

b)

Dilation by a factor of 1/2

c)

Translation 6 right and 6 down

d)

Translation six left and six up

93.

Describe the transformation shown.

a)

Rotation 90^o clockwise

b)

Dilation by a factor of 3

c)

Translation 2 units down

d)

Reflection across the x axis.

94.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate interior

c)

vertical

d)

alternate exterior

95.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

96.

Find the value of x.

a)

103

b)

10

c)

3

d)

70

97.

Find the measure of each angle indicated.

a)

62

b)

53

c)

71

d)

50

98.

You have a triangle with angle measures of 43^o and 78^o. What is the measure of the third angle?

a)

35^o

b)

121^o

c)

59^o

d)

57^o

99.

Are the triangles similar?

a)

Yes

b)

No

100.

Are the triangles similar?

a)

Yes

b)

No

101.

Write the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

102.

What is the equation of the line?

a)

y\ =\ \frac{-3}{4}x\ +\ 3

b)

$y\ =\frac{4}{5}x+3$

c)

$y\ =\frac{-4}{5}x+3$

d)

$y\ =\frac{-4}{5}x$

103.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

104.

(5⁸) / (5³)

a)

5⁵

b)

1⁵

c)

5¹¹

d)

1¹¹

105.

a)

7/ u³

b)

7u¹¹

c)

7u^1.75

d)

7u³

106.

x⁵ * x⁴

a)

x⁹

b)

x²⁰

c)

2x⁹

d)

9x

107.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

108.

In 2³what is the exponent?

a)

2

b)

3

c)

2³

109.

The half-life of Uranium is 2.5 x 10⁵ years. What is this in standard form?

a)

2500000

b)

250

c)

25000

d)

250000

110.

Write 4.83 x 10^-6in Standard Form.

a)

0.00048300

b)

0.00004830

c)

0.00000483

d)

0.00000438

111.

Convert 0.0000037 to Scientific Notation.

a)

.37 x 10^-7

b)

3.7 x 10^-6

c)

37 x 10^-5

d)

370 x 10^-4

112.

Mercury’s average distance from the sun is 57,190,000 km. What is the distance in scientific notation?

a)

5719 x 10⁴

b)

571.9 x 10⁵

c)

57.19 x 10⁶

d)

5.719 x 10⁷

113.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

114.

√ 4

a)

2

b)

7

c)

16

d)

1

115.

√ 64

a)

4

b)

6

c)

9

d)

8

116.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

117.

Name the longest side of a right triangle.

a)

leg a

b)

leg b

c)

leg

d)

hypotenuse

118.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

119.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

120.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

121.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

122.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

123.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

124.

∛27

a)

3

b)

2

c)

4

d)

9

125.

∛64

a)

4

b)

5

c)

6

d)

3

End of Adv 6th Grade Placement Test Review

Total questions: 125

Worksheet time: 8hrs 42mins

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