Free Printable NWEA Numerical Representations and Probability

1.

Simplify the following expression:
-8x + 4x

a)

-12x

b)

-4x

c)

4x

d)

12x

2.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

3.

Find the sum (−x + 8) + (−5x − 1).

a)

−6x + 7

b)

−4x + 7

c)

−6x − 8

d)

−6x + 8

4.

Solve.
5 x (7 - 4) - 3 x 2

a)

0

b)

18

c)

9

d)

15

5.

Evaluate the numerical expression.
2(15 - 7) + 6

a)

22

b)

29

c)

50

d)

28

6.

[ ( 6 x 3) ] x 2 ÷ 9

a)

2

b)

4

c)

14

d)

62

7.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

2² x 3²

d)

2² x 3

8.

2 x 2 x 2 or 2³is the prime factorization of

a)

6

b)

12

c)

22

d)

8

9.

What number is never allowed in a factor tree?

a)

13 (it's bad luck!)

b)

1

c)

8675309

d)

2

10.

What is the unknown numerator that makes this equation true.

^___/10 = ⁴⁰/100

a)

40

b)

4

c)

1

d)

5

11.

Determine if the equation is true or false. ⁵/10 + ¹⁸/100 = ⁶⁸/100

a)

True

b)

False

12.

Choose the unknown numerator that makes this equation true.

⁶/10 + ³/100 = ^__/100

a)

91

b)

63

c)

9

d)

90

13.

Which fraction is equivalent to 1?

a)

1/2

b)

1/10

c)

5/5

d)

5/1

14.

Which fraction is equivalent to 4/8?

a)

1/2

b)

2/2

c)

2/6

d)

2/8

15.

Which fraction is equivalent to 4/6?

a)

1/3

b)

2/3

c)

1/6

d)

2/6

16.

Which factor can be placed in the blank dotted boxes to generate the equivalent fraction?

a)

10

b)

15

c)

20

d)

25

17.

Which factor can be placed in the blank dotted boxes to generate the equivalent fraction?

a)

10

b)

15

c)

20

d)

25

18.

$\frac{1}{3}=\ \frac{?}{12}$
What is the equivalent Fraction ?

a)

$\frac{1}{12}$

b)

$\frac{3}{12}$

c)

$\frac{4}{12}$

d)

$\frac{5}{12}$

19.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

a)

5/11

b)

5/6

c)

1/3

d)

5

20.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

21.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

22.

What is the probability of flipping a coin

3 times and getting 3 heads?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

23.

The spinner is spun two times. Determine the probability of landing on red the first spin and on green the second spin .

a)

1/9

b)

1/10

c)

0

d)

1/12

24.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

25.

Change 4% to a decimal.

a)

.04

b)

.004

c)

.4

d)

4

26.

Write 0.39 as a percent.

a)

39

b)

3.9%

c)

39%

d)

.0039%

27.

What is 70% turned into a decimal?

a)

0.70

b)

7.0

c)

70.0

d)

.007

28.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

29.

The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors.

What is the ratio of height of the building to the number of floors?

a)

7 : 112

b)

112 : 7

c)

1 : 7

d)

7 : 1

e)

1 : 16

30.

The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors.

How high is each floor of the building?

(a)

31.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

32.

Which represents the relationship of oranges to fruit?

a)

2:6

b)

2:4

c)

4:6

d)

4:2

33.

what is the ratio of seals to animals

a)

5 : 3

b)

3 to 5

c)

3 of 5

d)

3 : 8

34.

Write 7% in decimal form.

a)

0.7

b)

0.07

c)

7

35.

How is 0.8 written as a percent?

a)

80%

b)

8%

c)

0.8%

36.

Write in percent form.

a)

3%

b)

30%

c)

33%

d)

300%

37.

Change 4% to a decimal.

a)

.04

b)

.004

c)

.4

d)

4

38.

Write 0.39 as a percent.

a)

39

b)

3.9%

c)

39%

d)

.0039%

39.

Which fraction is equivalent to 0.1?

a)

1/100

b)

1/10

c)

1/1000

d)

1/1

40.

What is the sample space for a standard six-sided die?

a)

1, 2, 3, 4, 5, 6

b)

6

c)

6, 6, 6, 6, 6, 6

d)

2, 3, 4, 5, 6

41.

What is the sample space?

a)

5

b)

orange, green, red, white, yellow

c)

orange, green, red, red, yellow, white

d)

6

42.

What is the sample space of the spinner?

a)

blue, red, yellow, green

b)

blue, blue, blue, red, red, red, red, red, yellow, green, green

c)

blue, red, green, orange, yellow

d)

blue, green, red

43.

Aron has a bag of marbles that contains three red (R) marbles, four green (G) marbles, and three blue (B) marbles

Which expression represents the probability of randomly selecting a green (G) marble, replacing it, and then randomly selecting a red (R) marble?

a)

$\frac{4}{10}\ \cdot\ \left(\frac{3}{10}\right)$

b)

$\frac{4}{10\ }\ \cdot\ \left(\frac{3}{9}\right)$

c)

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

44.

Latricia determines that the probability of spinning an even number and then a 3 on the spinner below is

Which best describes the accuracy of Latricia’s solution?

a)

Latricia’s solution is accurate.

b)

Latricia’s solution is inaccurate. Her solution describes the probability of spinning an even number or a 3 in the same spin.

c)

Latricia’s solution is inaccurate. Her solution uses the correct probability of spinning an even number, but it uses to describe the probability of spinning a 3.

d)

Latricia’s solution is inaccurate. Her solution uses the correct probability of spinning a 3, but it uses to describe the probability of spinning an even number.

45.

How many possible outcomes are there when Sharya spins the spinner shown below twice?

a)

2

b)

6

c)

12

d)

36

46.

What is the place of the underlined digit?

0.64

a)

hundredths

b)

ones

c)

tenths

d)

tens

47.

What is the place of the underlined digit?

0.48

a)

hundredths

b)

ones

c)

tenths

d)

hundreds

48.

Choose the correct decimal

5 tenths

a)

5.0

b)

0.05

c)

0.5

d)

0.50

49.

Select the place value of the digit 1 in the number: 2.417

a)

tenths

b)

hundredths

c)

thousandths

d)

hundreds

50.

What place is the seven in?
456.007

a)

thousandths

b)

tenths

c)

thousands

d)

hundredths

51.

What is the place value name of the digit 6 in the number below?
247.167

a)

tenths

b)

tens

c)

hundredths

d)

hundreds

52.

Choose the symbol which makes the comparison correct.

0.50 _____ 0.5

a)

<

b)

>

c)

=

53.

Choose the symbol which makes the comparison correct.

0.789 ____ 0.774

a)

>

b)

=

c)

<

54.

Choose the symbol which makes the comparison correct.

0.53 ____ 0.536

a)

<

b)

=

c)

>

55.

Order the following decimals from least to greatest
0.54 0.5 0.85 0.8

a)

0.5 0.54 0.8 0.85

b)

0.54 0.5 0.8 0.85

c)

0.85 0.8 0.5 0.54

d)

0.8 0.5 0.85 0.54

56.

Which group of numbers is in order from LEAST to GREATEST?

a)

0.022 0.202 0.020

b)

0.202 0.022 0.020

c)

0.020 0.202 0.022

d)

0.020 0.022 0.202

57.

Chase ordered four numbers from greatest to least. Which correctly shows these numbers?

a)

3.109 > 3.098 > 3.192 > 3.186

b)

3.098 > 3.109 > 3.186 > 3.192

c)

3.192 > 3.109 > 3.186 > 3.098

d)

3.192 > 3.186 > 3.109 > 3.098

58.

Identify the place value of the digit 2 in this number:

46.923

a)

tenths

b)

hundredths

c)

thousandths

d)

ten-thousandths

59.

Identify the place value of the digit 6 in this number:

148.69

a)

tenths

b)

hundredths

c)

thousandths

d)

ten-thousandths

60.

Identify the place value of the digit 8 in this number:

72.08

a)

tenths

b)

hundredths

c)

thousandths

d)

ten-thousandths

61.

What decimal represents point L on the number line?

a)

0.5

b)

0.3

c)

5

d)

.05

62.

What decimal represents point J on the number line?

a)

0.4

b)

0.3

c)

3

d)

.03

63.

What decimal represents point N on the number line?

a)

7.0

b)

0.7

c)

8

d)

.07

64.

Which is larger?
1/10 or 1/2

a)

1/10

b)

1/2

65.

Which is larger?
1/3 or 1/6

a)

1/3

b)

1/6

66.

Which is larger?
1/8 or 1/4

a)

1/8

b)

1/4

67.

The low temperature on Tuesday was 17 degrees below zero. The high temperature on Wednesday was 9 degrees above zero.

Which number represents the temperature on Wednesday?

a)

17

b)

9

c)

-9

d)

-17

68.

Which of the following situations could be represented by the number -5.5?

SELECT THREE SITUATIONS.

a)

Mercy's account was debited $5.50

b)

The scale showed a gain of 5.5 pounds

c)

Veronica received an allowance of $5.50

d)

The temperature drops 5.5 degrees before sunrise

e)

Jose removed 5 1/2 feet from the rope length

69.

The Falcons running back lost 8 yards on a play. Which best describes a resulting play of 0 yards?

a)

The running back lost another 8 yards.

b)

The running back is in the middle of the field.

c)

The running back gained 8 yards instead of losing 8 yards.

d)

The running back did not gain or lose any yardage on the play.

70.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

71.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

72.

6 - (-4)

a)

10

b)

2

c)

-2

d)

-10

73.

Hunter finished 3/8 of his homework before supper. Macy finished 2/3 of her homework before supper. Which statement correctly compares the fractions?

a)

3/8 < 2/3

b)

3/8 > 2/3

c)

3/8 = 2/3

d)

2/3 < 3/8

74.

Which comparison symbol should be placed between the two numbers?

-1.9 _________1.2

a)

<

b)

>

c)

=

75.

Which comparison symbol should be placed between the two numbers?

a)

<

b)

>

c)

=

76.

Choose the correct symbol to make it true.

18 ________ 23

a)

<

b)

>

c)

=

77.

Choose the correct symbol to make it true.

–23 ________ –16

a)

<

b)

>

c)

=

78.

Order the set of numbers from LEAST to GREATEST.

{10, –5, 3, 16, –1, 0, 1}

a)

0, –1, 1, 3, –5, 10, 16

b)

–5, –1, 0, 1, 3, 10, 16

c)

-1, –5, 0, 1, 3, 10, 16

79.

Compare using < , > , or =

-2 ⁵/₈ and -2.75

a)

<

b)

>

c)

=

80.

Compare using < , > , or =

-1.75 and -1 ³/₄

a)

<

b)

>

c)

=

81.

Compare: $-5\frac{3}{5}\ \ \ \ \ \ \ ???\ \ \ \ \ -5\frac{6}{9}\$

a)

>

b)

<

c)

=

82.

What is the opposite of -3?

a)

3

b)

0

c)

-1/3

d)

1/3

83.

What is the opposite of the integer on the number line?

a)

0

b)

-7

c)

7

d)

1

84.

Which letter on the number line represents -1?

a)

A

b)

B

c)

C

d)

D

85.

Which number is graphed on the number line?

a)

3.5

b)

3.4

c)

4.5

d)

3.1

86.

Which of the following statements uses the Associative Property of Addition to indicate the sum of 127 + (−58 + 133)?

a)

127 + (133 + −58)

b)

(127 + 133) + −58

c)

(127 + −58) + 133

d)

133 + (−58 + 127)

e)

none of these

87.

In one Reese’s peanut butter cup, there are 88 calories and 47 of those calories are from fat. To the nearest percentage, what percent of the total calories is NOT from fat?

a)

53%

b)

46%

c)

54%

d)

47%

e)

none of these

88.

Cedric flips a fair coin and got heads 3/5 of the time. If he obtains 374 tails, how many times did Cedric flip the coin?

a)

75

b)

625

c)

250

d)

1875

e)

none of these

89.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

90.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

91.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

92.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

93.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

94.

Find missing side

a)

5

b)

7

c)

9

d)

11

95.

$\Delta XYZ\cong\Delta TRS$

Which side corresponds to side XY?

a)

TR

b)

RS

c)

ST

96.

$\Delta XYZ\cong\Delta TRS$

Which side corresponds to side YZ?

a)

TR

b)

RS

c)

ST

97.

$\Delta XYZ\cong\Delta TRS$

Which side corresponds to side ZX?

a)

TR

b)

ST

c)

SR

98.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

99.

In which quadrant is the following point?
(-3, 12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

100.

a)

I

b)

IV

c)

III

d)

II

101.

What are the coordinates of Point C?

a)

(-4, -2)

b)

(-2,-4)

c)

(2, -4)

d)

(-2, 4)

102.

What is at (1,2)?

a)

the moon

b)

the sun

c)

a blue planet

d)

a robot

103.

Where is point A located?

a)

( 7 , 2 )

b)

( 2 , 6 )

c)

( - 2 , 7 )

d)

( 2 , 7 )

104.

Match the following

a)

y-coordinate

1.

y

b)

x-coordinate

2.

x

c)

slope

3.

m

d)

Y-intercept

4.

b

105.

Which of the following points would be located on the X-axis?

a)

A (-6,0)

b)

B (0,3)

c)

C (0,-5)

d)

Both B and C

106.

On a corrdinate plane, which section would (4,5) go in?

a)

The first quadrant

b)

The third quadrant

c)

2nd quadrant

d)

4th quadrant

107.

Anthony is graphing a rectangle on the coordinate plane. He plots two of the points. Which set of ordered pairs would form a rectangle with the 2 points on the graph?

Select ALL that apply.

a)

(2,5) and (5,5)

b)

(2,2) and (5,2)

c)

(4,2) and (4,5)

d)

(2,0) and (5,0)

108.

Adam plots the locations of the library, park, post office, and school on the coordinate plane. If the position of Adam’s home is (4, 7), which is closest to his home?

a)

post office

b)

park

c)

school

d)

library

109.

Macey is plotting a square on the coordinate plane. She plots three of the four points needed to create a square.

Which ordered pair represents the missing point of Macey’s square?

a)

(1, 2)

b)

(6, 2)

c)

(6, 7)

d)

(7, 6)

110.

What letter is ordered pair (-1,2)?

a)

G

b)

S

c)

P

d)

A

e)

B

111.

What letter is ordered pair (6,-2)?

a)

M

b)

S

c)

P

d)

A

e)

B

112.

What letter is ordered pair (-7,-5)?

a)

M

b)

S

c)

P

d)

A

e)

B

113.

I have 6 sides and 6 angles. What am I?

a)

Octagon

b)

Pentagon

c)

Hexagon

d)

Quadrilateral

114.

Which shape has 8 sides and 8 angles? Hint: Stop signs are the same shape.

a)

Hexagon

b)

Pentagon

c)

Nonago

d)

Octagon

115.

I am a 4-sided polygon.

a)

Quadrilateral

b)

Decagon

c)

Dodecagon

d)

Triangle

116.

What is the name of this kind of triangle?

a)

Scalene

b)

Isosceles

c)

Equilateral

117.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

118.

.
.
What kind of triangle is this?

a)

Acute

b)

Right

c)

Obtuse

d)

Robot

119.

What kind of triangle is this?

a)

Acute

b)

Super

c)

Right

d)

Obtuse

120.

What kind of triangle is this?

a)

Acute

b)

Right

c)

Sparkly

d)

Obtuse

121.

How many sets of parallel lines are in this shape?

a)

0

b)

1

c)

2

d)

5

122.

How many sets of parallel lines are in this rectangle?

a)

0

b)

1

c)

2

d)

5

123.

How many sets of perpendicular lines are in this rectangle?

a)

0

b)

1

c)

2

d)

5

124.

Decide whether each shape is a quadrilateral.

Check all the ones that are quadrilaterals.

a)

b)

c)

125.

Select ALL the shapes that appear to be parallelograms.

a)

b)

c)

d)

e)

126.

There are three categories of shapes listed below.

A shape may belong to one, all, or none of the categories.

Select all the categories for the shape above.

a)

Quadrilateral

b)

Rectangle

c)

Has at least 4 angles

127.

What is the length of AC?

a)

$\sqrt[]{20}$

b)

$\sqrt[]{21}$

c)

$\sqrt[]{40}$

d)

$\sqrt[]{58}$

128.

What is the length of CB in units?

a)

$\sqrt[]{29}$

b)

$\sqrt[]{40}$

c)

$\sqrt[]{65}$

d)

$\sqrt[]{72}$

129.

What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?

a)

$\sqrt[]{5}$

b)

$\sqrt[]{13}$

c)

$\sqrt[]{15}$

d)

$\sqrt[]{137}$

130.

name a pair of alternate interior angles:

a)

<5 & <7

b)

<3 & <6

c)

<4 & < 1

d)

<1 & <7

131.

Identify each pair of angles.

a)

vertical

b)

corresponding

c)

alternate exterior

d)

alternate interior

132.

$\angle1\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

133.

The vertex is the point where 2 lines or line segments intersect.

a)

True

b)

False

134.

A point that divides, or bisects, a segment into two congruent segments is called a ___________________.

a)

midpoint

b)

congruent segment

c)

angle bisector

d)

endpoint

135.

A continuous straight extent of length, without breadth or thickness is called a ________________. It also has arrowheads on both sides.

a)

line

b)

ray

c)

line segment

d)

linear pair

136.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

137.

a)

0.25

b)

0.5

c)

2

d)

1/2

138.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

139.

a)

is symmetrical

b)

not symmetrical

140.

a)

Is symmetrical

b)

not symmetrical

141.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

142.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

8

143.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

144.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

145.

What order of rotation and angle of rotation does the picture have?

a)

Order = 0, 360⁰

b)

Order = 1, 360⁰

c)

Order = 2, 180⁰

d)

Order = 3, 120⁰

146.

What order of rotation and angle of rotation does the picture have?

a)

Order = 1, 360⁰

b)

Order = 2, 180⁰

c)

Order = 3, 120⁰

d)

Order = 5, 72⁰

147.

Identify the smallest angle of rotation that maps the image to itself.

a)

72°

b)

180°

c)

144°

d)

45°

NWEA Numerical Representations and Probability

Total questions: 147

Worksheet time: 8hrs 0mins

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