Free Printable 8th Math CBA Review 1

1.

Which of the following has a value of 24?

a)

A.

b)

B.

c)

C.

d)

D.

2.

Find the perimeter.

a)

7 cm

b)

12.25 cm

c)

28 cm

d)

49 cm

3.

Which of the following shows a list of values in decreasing order?

a)

A.

b)

B.

c)

C.

d)

D.

4.

Convert to Scientific Notation

a)

4.2 x 10⁷

b)

42.67 x 10⁶

c)

4.267 x 10⁷

d)

4.267 x 10^-7

5.

Convert to Scientific Notation

a)

8 x 10^-6

b)

8 x 10^-7

c)

8 x 10⁷

d)

8 x 10⁶

6.

Which has a value greater than 600 but less than 6000?

a)

A.

b)

B.

c)

C.

d)

D.

7.

Which of the following could be the missing value?

a)

A.

b)

B.

c)

C.

d)

D.

8.

Which statement is true about irrational numbers?

a)

A. Some irrational numbers are natural numbers.

b)

B. Irrational numbers include decimals with a repeating pattern.

c)

C. The square root of every non-perfect square will be an irrational number.

d)

D. Irrational numbers will never be real numbers.

9.

Which has the same value as 3.652 x 10^-4?

a)

A.

b)

B.

c)

C.

d)

D.

10.

Which could be the missing number in the set?

a)

A.

b)

B.

c)

C.

d)

D.

11.

Which is the correct classification of the value $7\pi$ ?

a)

A.

b)

B

c)

C.

d)

D.

12.

Which of the following could be included in section D?

a)

$\sqrt{99}$

b)

$\frac{60}{15}$

c)

-20

d)

9.2

13.

Which of the following could not be included in section B?

a)

$9+\sqrt{72}$

b)

$-\frac{42}{6}$

c)

$2\sqrt{100}$

d)

8

14.

Which point is the best estimate of $\sqrt{11}$ ?

a)

A.

b)

B.

c)

C.

d)

D.

e)

E.

15.

Which of the following statements in incorrect?

a)

A.

b)

B.

c)

C.

d)

D.

16.

Which of the following has the greatest value?

a)

A.

b)

B.

c)

C.

d)

D.

17.

Write the following in descending order:

a)

$5\sqrt{8}$ , 14.025 , $\frac{40}{3}$ , $\sqrt{170}$

b)

$\sqrt{170}$ , $5\sqrt{8}$ , $\frac{40}{3}$ , 14.025

c)

$\sqrt{170}\ ,\ \frac{40}{3}\ ,\ 14.025\ ,\ 5\sqrt{8}$

d)

$\frac{40}{3\ }\ ,\ 14.025\ ,\ \sqrt{170}\ ,\ 5\sqrt{8}$

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

F

b)

G

c)

H

d)

J

20.

a)

F

b)

G

c)

H

d)

J

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

F

b)

G

c)

H

d)

J

24.

a)

F

b)

G

c)

H

d)

J

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

b)

c)

d)

29.

Ms. Flores paints a square-shaped section of a fence with an area of 75 square feet. What is the approximate side length of the section she paints?

a)

8.1 ft

b)

8.3 ft

c)

8.6 ft

d)

8.9 ft

30.

Ms. Solis says the square root of 88.6 is found between which two numbers on a number line?

a)

7 and 8

b)

8 and 9

c)

9 and 10

d)

10 and 11

31.

a)

Point M

b)

Point N

c)

Point R

d)

Point S

32.

Mr. Gomez built a ramp so that his dog could climb onto the sofa.

a)

Between 4 and 5

b)

Between 10 and 11

c)

Between 12 and 13

d)

Between 115 and 117

33.

The set of irrational numbers includes all of the following except -

a)

b)

c)

d)

34.

What is the set of numbers that includes all positive and negative whole numbers?

a)

Natural/Counting Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

35.

What is the set of numbers that includes fractions?

a)

Natural numbers

b)

Whole numbers

c)

Integers

d)

Rational numbers

e)

Irrational numbers

36.

What is the set of numbers that includes repeating decimals?

a)

Natural numbers

b)

Whole numbers

c)

Integers

d)

Rational numbers

e)

Irrational numbers

37.

What is the set of numbers that includes pi?

a)

Natural numbers

b)

Whole numbers

c)

Integers

d)

Rational numbers

e)

Irrational numbers

38.

a)

Irrational

b)

Rational

c)

Rational, Integer

d)

Rational, Integer, Whole

e)

Rational, Integer, Whole, Natural

39.

a)

Irrational

b)

Rational

c)

Rational, Integer

d)

Rational, Integer, Whole

e)

Rational, Integer, Whole, Natural

40.

a)

Irrational

b)

Rational

c)

Rational, Integer

d)

Rational, Integer, Whole

e)

Rational, Integer, Whole, Natural

41.

Which number is an irrational number?

a)

√9

b)

√49

c)

√100

d)

√120

42.

Which represents a rational number?

a)

√110

b)

√324

c)

√65

d)

√80

43.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

44.

A square has an area of x square units. x is a whole number between 20 and 24. What set of numbers best describes the length of the sides of the square? Hint: think these are the area and you need to find the regular side length!

a)

Rational numbers

b)

Counting numbers

c)

Integers

d)

Irrational numbers

45.

Which of the following represents a set of irrational numbers?

a)

〈√3, √4, √6, √5〉

b)

〈1.1, 1.234..., √35, π〉

c)

〈11π⁄4, √2⁄4, 1.121314..., √3〉

d)

Not here

46.

Which of the following sets contain only numbers that are NOT integers?

a)

〈6, -5, 1.25〉

b)

〈3⁄5, 4.5, 0.̅3〉

c)

〈-8, 4, √13, 25〉

d)

〈16⁄4, 8, 7, √9〉

47.

Which statement is not true?

a)

0.121212...is a rational number.

b)

0.34353637 is an irrational number

c)

8.14 is a rational number

d)

5.12345.... is an irrational number

48.

Which of the following is NOT a subset of the ration numbers?

a)

Integers

b)

Whole numbers

c)

Perfect square integers

d)

Irrational numbers

49.

Margaret was asked to write 4 irrational numbers. Her list included the following numbers:
1.212223... √30 3π √2⁄2
Which of the numbers Margaret wrote are irrational numbers?

a)

None of them

b)

All of them

c)

1.212223... and √30 only

d)

√30, 3π, and √2⁄2

50.

Marian was asked to create a set of numbers so that 2 were integers, 2 were rational numbers that were not integers, and 2 were irrational numbers. Which of the following sets would satisfy the criteria for Marian's set?

a)

〈√11, π, -3, 4, 1.5 5/12〉

b)

〈9, 100, 1.1111...., π, 06, 20/3〉

c)

〈5√2, 3π, 3, -14, 3.5, 24/12〉

d)

〈√20, 12.3456, 9, -14, 28, 4 1/2〉

51.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

52.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

53.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

54.

Sides a and b are called legs.

a)

true

b)

false

55.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

56.

The diagram shows three squares that are joined at vertices to form a right triangle.

Which statement is true?

a)

The sum of the areas of square A and square C is equal to the area of square B.

b)

The sum of the areas of square B and square C is equal to the area of square A.

c)

The sum of the areas of square of C and Square B and square A equal to the area of square C.

d)

The sum of the areas of square A and Square B is equal to the area of square C.

57.

A teacher is showing his student Jacob to join three squares at their vertices to create the figure shown in the diagram.

The student will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?

a)

The number of tiles needed to cover Square R is the same as the number of square tiles needed to cover Square G and Square M

b)

The number of tiles needed to cover Square G is the same as the number of tiles needed to cover both Square R and Square M.

c)

The number of tiles needed to cover Square M is the same as the number of square tiles needed to cover Square R and Square G.

58.

What is the distance between the two points? Round to the tenths place. (Hint: pay attention to how this is numbered!)

a)

6.3

b)

12.6

c)

6

d)

None of these

59.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

60.

Which side is the hypotenuse?

a)

a

b)

b

c)

c

61.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

62.

Fill in the blank: The _______ of the squares on the legs is equal to the area of the square on the hypotenuse

a)

difference

b)

square root

c)

sum

d)

product

63.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

64.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

65.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

66.

Click on the picture to read the question!

a)

A

b)

B

c)

C

d)

D

67.

Click on the picture to read the question!

a)

A

b)

B

c)

C

d)

D

68.

Click on the picture to read the question

a)

A

b)

B

c)

C

d)

D

69.

Click on the picture to read the question!

a)

A

b)

B

c)

C

d)

D

70.

Click on the picture to read the question!

a)

A

b)

B

c)

C

d)

D

71.

Click on the picture to read the question!

a)

A

b)

B

c)

C

d)

D

72.

Click on the picture to read the question! (hint: all boxes need to be filled in!)

(a)

73.

Click on the picture to read the Question!

a)

A

b)

B

c)

C

d)

D

74.

Click on the picture to read the question!

(a)

75.

Which value is between $\frac{2}{4}$ and $\sqrt[]{5}$ ?

Hint: All this question is asking is to see what number is in the middle, 'in between ' of

$\frac{2}{4\ }$ and $\sqrt[]{5}$

a)

$\pi$

b)

$1.5^2$

c)

$\sqrt[]{3}$

d)

$\frac{15}{4}$

76.

In the United States Roth Ira's had a lot of changes due to inflation in the economy. There were changes such as

$\sqrt[]{5}\ ,\ -1.24\ ,\ -\frac{1}{10}\ ,\ and\ 1.\ 9$ . List these numbers from greatest to least.

Drag and drop the numbers in the correct spaces below.

(a) (b) (c) (d)

Choose from the below words

$\sqrt[]{5}$

1.9

$-\frac{1}{10}$

$-1.24$

77.

Which value of x makes the inequality true ?

$x\ <\ \frac{19}{3}$

Select 3 Correct answers.

Hint: All this questions is asking is which of these below is less than $\frac{19}{3}$ . So pick multiple answers that are less than $\frac{19}{3}$ !

a)

$\sqrt[]{3}$

b)

-1.25

c)

$7\sqrt[]{9}$

d)

0

e)

$3\pi$

78.

Which value of x makes the value of

$\frac{3}{4}<x<86\%$ true?

Hint: All this question is asking is to see what number is in the middle, 'in between ' of

$\frac{3}{4}$ and $86\%$ .

Please use Desmos and all the strategies I have taught you such as $\left(\frac{3}{4},\ 0\right)$ and label it or you can do $x=\frac{3}{4}$ to start.

a)

$\frac{8}{9}$

b)

$.89^2$

c)

$\sqrt[]{.80}$

d)

$\frac{12}{5}$

79.

A bacteria cell is 0.00000032 cm.

How is this number written in scientific notation?

(a)

Use your TI-84 (yellow calculator if you can and remember hit mode and change it to sci, remember to change it back to normal after you get done.)

E= $x\ 10^{to\ a\ power}$

Choose from the below words

$3.20\ x\ 10^{-7}$

80.

Lebron James makes an average salary of $4.5\ x\ 10^7$ dollars each year. Which of the following is equivalent to this measure?

Hint: All you need to do is type this number above in on desmos to convert it into standard form to see how much Lebron James makes a year. It's a lot!

a)

45000000

b)

45000

c)

450000

d)

4500000

81.

A list of numbers is shown.

23, −45, 0, −12, , 825%, 1 , -79

Which category would all of these numbers belong?

a)

Integers and Rationals Only

b)

Rationals Only

c)

Whole, Integers, and Rationals

d)

Irrationals

82.

Given a right triangle with the area of c = 25, the area of b = 16, what is the side length of a?

a)

9

b)

3

c)

706

d)

26.6

e)

No idea

83.

Which is the correct right triangle?

a)

4, 6, 10

b)

16, 17, 8

c)

12, 13, 5.5

d)

6, 7, 9

84.

Julius designed a quadrilateral-shaped banner with colored tape around the edges and along the diagonal. The banner has a length of 10 feet, a width of 22 inches, and a diagonal of 122 inches.

Which statement about the banner is true?

a)

The banner is not a rectangle because 10² + 22² ≠ 122² ; therefore, the angles opposite the diagonal are not right angles

b)

The banner is a rectangle because 120² + 22² = 122² ; therefore, the angles opposite the diagonal are right angles

c)

The banner is not a rectangle because 120² + 22² ≠ 122² ; therefore, the angles opposite the diagonal are not right angles

d)

The banner is a rectangle because 10² + 22² = 122² ; therefore, the angles opposite the diagonal are right angles.

8th Math CBA Review 1

Total questions: 84

Worksheet time: 7hrs 57mins

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