Free Printable Grade 8 Mathematics North Carolina End-of-Grade Assessment

1.

Kerry walks 3 miles each day. How far will she walk in 7 days?

a)

10 miles

b)

14 miles

c)

21 miles

d)

24 miles

2.

What number is represented by point P on the number line below?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

(a)

3.

What fraction of the circle is shaded?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

(a)

4.

What is the equation of the line graphed below?

a)

y = 2/3x - 2

b)

y = 2/3x + 3

c)

y = 3/2x - 2

d)

y = 3/2x + 3

5.

Which graph has a slope that is 1 4 unit greater than the slope of the graph of y = x – 2?

a)

b)

c)

6.

Which mathematical statement is NOT correct?

a)

$\left(2x-y\right)\left(3x-y\right)=6x^2-5xy+y^2$

b)

$\left(4x-5\right)\left(4x-5\right)=16x^2-40x+25$

c)

$\left(3x-4\right)\left(2x+7\right)=6x^2-13x-28$

d)

$\left(2x+5\right)^2=4x^2+20x+25$

7.

Which of the following DOES NOT belong to the group?

a)

\frac{1}{4}x^4-1

b)

$x^2-0.0001y^4$

c)

$8\left(x-1\right)^3-27$

d)

$\left(x+1\right)^4-4x^6$

8.

Which of the following gives a product of

x^2+5x+4

a)

$\left(x+1\right)\left(x+4\right)$

b)

$\left(x+2\right)\left(x+2\right)$

c)

$\left(x+5\right)\left(x-1\right)$

d)

$\left(x+2\right)^2$

9.

A polynomial expression is evaluated for the x and y values shown in the table. Which expression gives the values shown in the third column?

a)

$x^2-y^2$

b)

$x^2+2xy+y^2$

c)

$x^2-2xy+y^2$

d)

$x^3-y^3$

10.

Find the missing terms:

\left(x+\ \ \ \ \right)\left(3x+\ \ \ \right)=3x^2+27x+24

a)

$6,4\$

b)

$4,6$

c)

$8,3$

d)

$12,2$

11.

The length of a box is five meters less than twice the width. The height is 4 meters more than three times the width. The box has a volume of 25 cubic meters. Which of the following equations can be used to find the height of the box?

a)

W\left(2L-5\right)\left(3H+4\right)=520

b)

$W\left(2W+5\right)\left(3W-4\right)=520$

c)

$W\left(2W-5\right)\left(3W-4\right)=520$

d)

$W\left(2W-5\right)\left(3W+4\right)=520$

12.

One of the factors of

$2a^2+5a-12$ is $a+4$ . What is the other factor?

a)

$2a-3$

b)

$2a+3$

c)

$2a-8$

d)

$2a+8$

13.

The area of a square is $4x^2+12x+9$ square units. Which expression represents the length of the side?

a)

$\left(3x+2\right)\ units$

b)

$\left(2x+3\ units\right)$

c)

$\left(4x+9\right)\ units$

d)

$\left(4x+3\ units\right)$

14.

The side of the square is x cm long. The length of a rectangle is 5cm longer than the side of the square and the width is 5cm shorter. Which statement is true?

a)

The area of the square is greater than the area of the rectangle.

b)

The area of the square is less than the area of the rectangle.

c)

The area of the square is equal to the area of the rectangle.

d)

Any relationship cannot be determined from the given information.

15.

A square piece of land was rewarded by a landlord to his tenant. They agreed that a portion of it represented by the rectangle inside should be used to construct a grotto. How large is the area of land that is available for the other purposes?

a)

4x^2-9

b)

$4x^2+2x-9$

c)

$4x^2-8x-9$

d)

$4x^2+9$

16.

Which value of x will make the largest area of the square with a side of 3x+2?

a)

$\frac{3}{4}$

b)

$0.4$

c)

$\frac{1}{3}$

d)

$0.15$

17.

Your classmate was asked to square $\left(2x-3\right),$ he answered $4x^2-9.$ Is his answer correct?

a)

Yes, because squaring a binomial always produces a binomial product.

b)

Yes, because the product rule is correctly applied.

c)

No, because squaring a binomials always produces a trinomial product.

d)

No, because the answer must be $4x^2+9$

18.

let $A:4x^2-81,\$

and let $B:\ \left(2x-9\right)\left(2x+9\right).$ If $x=2,$ which statement is true about A and B?

a)

$A>B$

b)

$A<B$

c)

$A=B$

d)

$A\ne B$

19.

Your sister plans to remodel her closet. She hired a carpenter to do the task. What should your sister do so that carpenter can accomplish the task according to what she wants?

a)

Show a replica of a closet.

b)

Download a picture from the internet.

c)

Leaver everything to the carpenter.

d)

Provide the layout drawn to scale.

20.

Which of the following standards should best apply in checking in the carpenter's work in item number 14?

a)

accuracy of measurements and wise utilization of materials.

b)

accuracy of measurements and workmanship.

c)

workmanship and artistic design.

d)

workmanship and wise utilization of materials.

21.

Sid gave his friend 3/5 of his marbles and had 46 left. How many marbles did Sid have originally?

a)

230

b)

115

c)

92

d)

69

22.

Calculate Jane's total mark if $\frac{3}{8}$ of her mark is 24.

a)

192

b)

72

c)

64

d)

48

23.

What is the place value of the 6 in the numeral 72.46?

a)

ones

b)

tenths

c)

hundredths

d)

hundreds

24.

The numeral 3.78 can also be expressed as ___________.

a)

(3x100) + (7x10) + (8x1)

b)

(3x1) + (7x $\frac{1}{10}$ ) + (8x $\frac{1}{100}$ )

c)

(3x $\frac{1}{100}$ ) + (7x10) + (8x 1)

d)

(3x1) + (7x $\frac{1}{100}$ ) + (8x $\frac{1}{10}$ )

25.

$\frac{60}{100}$ expressed as a percentage is _______.

a)

6 %

b)

16 %

c)

30 %

d)

60 %

26.

$\frac{4}{\ 5\ }$ expressed as a percentage is _______.

a)

80 %

b)

45 %

c)

54 %

d)

1.25 %

27.

20 % of a number is 6. What is that number?

a)

60

b)

40

c)

30

d)

20

28.

What is 0.2 of 120?

a)

24

b)

30

c)

48

d)

50

29.

$\frac{3}{7}$ can be correctly written as all of the following EXCEPT ____________.

a)

three sevenths

b)

$3\div7$

c)

$7\div3$

d)

43 %

30.

Which of the following fractions is the LARGEST?

a)

$\frac{7}{12}$

b)

$\frac{2}{3}$

c)

$\frac{3}{4}$

d)

$\frac{1}{100}$

31.

(-4) + 8 =

a)

12

b)

4

c)

-4

d)

-12

32.

8 * (-5) =

a)

-40

b)

-13

c)

40

d)

-3

33.

-36/6 =

a)

6

b)

-6

c)

32

d)

-32

34.

What is the product a positive integer and negative integer?

a)

Negative

b)

Positive

35.

Negative numbers are

a)

less than zero

b)

greater than zero

36.

The temperature in Town A is -10 degrees Fahrenheit and temperature in Town B is -25 degrees Fahrenheit. Is it colder in Town A or Town B ?

a)

Town A

b)

Town B

37.

Is absolute value always positive?

a)

yes

b)

no

38.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

39.

-3 x -4=

a)

-12

b)

7

c)

-7

d)

12

40.

Which is not negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

41.

a)

A

b)

B

c)

C

d)

None of the options

42.

a)

A

b)

B

c)

C

d)

D

e)

E

43.

A standard die is made in the shape of a cube. What is the number of possible outcomes of rolling this die once?

(a)

44.

A standard die made in the shape of a cube is tossed once.

a)

A

b)

B

c)

C

d)

D

e)

E

45.

What is the number of possible outcomes of flipping a coin once?

(a)

46.

A coin is flipped once;

a)

A

b)

B

c)

C

d)

D

e)

E

47.

A box contains 4 black balls, 2 green balls, and 5 red balls. A ball is chosen from the box; what is the number of possible outcomes in this experiment?

(a)

48.

A box contains 4 black balls, 2 green balls, and 5 red balls. A ball is chosen from the box;

a)

A

b)

B

c)

C

d)

D

e)

E

49.

(a)

50.

If you ask your new friend about their month of birth, what is the number of possible outcomes (here, the outcomes are the answers)?

(a)

51.

a)

A

b)

B

c)

C

d)

D

e)

E

52.

a)

A

b)

B

c)

C

d)

D

e)

E

53.

a)

A

b)

B

c)

C

d)

D

54.

Note; Drawing a sample space diagram will help.

a)

A

b)

B

c)

C

d)

D

e)

E

55.

a)

A

b)

B

c)

C

d)

D

e)

E

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

A

b)

B

c)

C

d)

D

e)

E

59.

a)

A

b)

B

c)

C

d)

D

60.

If these two spinners are spun, what is the probability that the sum of the numbers the arrows land on is a multiple of five?

a)

A

b)

B

c)

C

d)

D

e)

E

Grade 8 Mathematics North Carolina End-of-Grade Assessment

Total questions: 60

Worksheet time: 8hrs 45mins

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