Long Test in Math 7

Long Test in Math 7

Mrs. Imelda G. Urquia

Part 1: It's all about SETS

• Sets and Elements

• Operations on Sets

• Venn Diagram

• Problems Solving Involving Sets

Multiple Choice

Which of the following is a possible universal set for {1, 3, 5, 7, 9, …}?

• the set of prime numbers

• the set of composite numbers

• the set of odd numbers

• the set of even number

Multiple Choice

Given A= {positive whole numbers less than 10}. B = {odd numbers}.

Find A – B.

• { 2,4,6,8}

• {1,2,3,4,5}

• 1,3,5,7}

• { }

Multiple Choice

What is the cardinality of the set {1, 2, 3, 4, 5}?

• 3

• 4

• 5

• 6

Multiple Choice

Determine whether the statement is True or False.

5 ∈ {1, 3, 5, 7, 9}

• TRUE

• FALSE

Multiple Choice

How many subsets can you form in the given set A = {a, r, t}?

• 2

• 4

• 6

• 8

Multiple Choice

If X = {Facebook, Instagram, twitter} Y= {YouTube, Tiktok, Facebook}. What is X ∩ Y?

• {Facebook, Instagram, twitter }

• {Facebook}

• {YouTube, Tiktok, Facebook}

• {Twitter, YouTube}

Multiple Choice

If U = {5, 10, 15, 20, 25, 30}, then which of the following is the subset of U?

• {5, 15, 25}

• {10, 35, 5, 75}

• {20, 6, 10, 12}

• {10, 20, 30, 40}

Multiple Choice

Which of the following is a Venn diagram representation for the intersection of two sets?

Multiple Choice

At an overpriced department store, there are 120 customers. If 55 have purchased shirts, 48 have purchased pants, and 45 have purchased neither, how many purchased both shirts and pants?

• 16

• 12

• 20

• 28

Multiple Choice

What is A – B in the given Venn diagram on the left?

• {3}

• {2, 4}

• {0, 1, 5}

• {0,1,2,4,5}

Multiple Choice

Which of the following refers to the illustration of relationships between or among sets of objects?

• Venn Diagram

• Universal Set

• Circle Graph

• D. Finite Set

Multiple Choice

Given: U = { a, b, c, d, e, f, g, h, i, j }

M = { a, b, c, d, e }

N = { i, g, h}

A = { a, c, e, h, i, j }

FIND: A ∪ M

• { f, g, h, i, j }

• { i, g, h }

• { a, b, c, d, e, h, i, j}

• { a, c, e}

Multiple Choice

Given: U = { a, b, c, d, e, f, g, h, i, j }

M = { a, b, c, d, e }

N = { i, g, h}

A = { a, c, e, h, i, j }

FIND: N – M

• { f, g, h, i, j }

• { i, g, h }

• { a, b, c, d, e, h, i, j}

• { a, c, e}

Multiple Choice

Given: U = { a, b, c, d, e, f, g, h, i, j }

M = { a, b, c, d, e }

N = { i, g, h}

A = { a, c, e, h, i, j }

FIND: A ∩ M

• { f, g, h, i, j }

• { i, g, h }

• { a, b, c, d, e, h, i, j}

• { a, c, e}

Part II INTEGERS

• Absolute Value

• Operations on Integers

Multiple Choice

Using the number line, what is the absolute value of −5

• -5

• 0

• 1

• 5

Multiple Choice

What is the sum if 17 is added to −25 ?

• −42

• -8

• 42

• 8

Multiple Choice

The product of two negative integers is always _____

• positive

• negative

• neither positive nor negative

Multiple Choice

The temperature in Baguio City this morning was −2° C. At 8 am, it rose to 10°. By noon time, it rose by another 8°C. Then a storm blew in, causing it to drop 7°C by 6 pm. What was the temperature at 6 pm?

• 8° C

• 9° C

• 10° C

• 11° C

Multiple Choice

Which of the following statement is true?

• −15 ÷ 3 = 5

• −4 ÷ −1 = −4

• −12 ÷ 12 = −1

Multiple Choice

Find the absolute value.

|−100| = _______

• 100

• -100

• 0

• 1

Multiple Choice

Find the difference.

2 −( −5) = ______

• -7

• 7

• -3

• 3

Multiple Choice

DIvide.

−48 ÷ 6 = ______

• 6

• -6

• 8

• -8

Multiple Choice

Find the sum.

21 + (−41) = ______

• 62

• -20

• 20

• -62

Part III Properties of Operations on the Set of Integers

• Properties of operations on the set of integers

• Expressing rational numbers from fraction form to decimal form and vice versa

Multiple Choice

What property justifies the equation (4+2) (−3) = (−3) (4+2)  ?

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Commutative Property of Multiplication

Multiple Choice

Which of the following illustrates associative property?

• (8+7) + 9 = 8 + (7+9)

• 2 + (−2) = 0

• 5 + 6 = 6 + 5

Multiple Choice

Which of the following is the decimal form of 4/5?

• 4.5

• 0.8

• 0.45

Multiple Choice

If you convert 6/25 to a decimal, what is the number in the hundredths place?

• 2

• 4

• 5

Multiple Choice

Which fraction is equal to a repeating decimal?

• 1/5

• 1/4

• 1/3

• 1/2

Multiple Choice

Express 0.3333… in fraction form.

• 1/3

• 1/33

• 1/333

• 1/3333

Multiple Choice

Which of the following illustrates distributive property?

• 3 (4+a) = 12 + 3a

• 2 (x+5) = 2x + 2

• 5 (x−3) = 5x − 3

Part IV Rational Numbers

• GCF and LCM

• Operations on Rational Numbers

Multiple Choice

Find the LCM of 4 and 6.

• 2

• 4

• 12

• 16

Multiple Choice

Find the GCF of 48 and 32.

• 8

• 12

• 16

• 18

Multiple Choice

What is the sum of 3/10 and 4/10?

• 7/10

• 7/20

• 10/7

Multiple Choice

What is the sum of 3/4 and 5/6?

• −3/10

• 9/25

• 19/12

• 8/10

Multiple Choice

Find the Difference.

9/25 − 12/25 = ______

• 3/25

• 3/50

• -3/25

• -3/50

Multiple Choice

Find the product.

3/7 x 4/5 = _____

• 7/12

• 12/35

• 15/28

Multiple Choice

 $\sqrt{49}$  

Tell whether the given number is RATIONAL or IRRATIONAL.

• RATIONAL

• IRRATIONAL

Multiple Choice

Find the quotient.

24/55 ÷ 8/11

• 3/5

• 192/605

• 5/3

Part V Rational & Irrational Numbers

• Classifying Rational & Irrational Numbers

• Principal Roots & Square Roots

• Estimating Square Roots

• Plotting Irrational Numbers on a Number Line

Multiple Choice

 $\sqrt{125}$  

Tell whether the given number is RATIONAL or IRRATIONAL.

• RATIONAL

• IRRATIONAL

Multiple Choice

 $\sqrt{112}$  

Tell whether the given number is RATIONAL or IRRATIONAL.

• RATIONAL

• IRRATIONAL

Multiple Choice

 $\sqrt{441}$  

Tell whether the given number is RATIONAL or IRRATIONAL.

• RATIONAL

• IRRATIONAL

Multiple Choice

 $\sqrt{441}$  

Give the principal root of the given number above.

• 20
  

• 19

• 21

Multiple Choice

 $\sqrt{81}$  

Give the principal root of the given number above.

• -9
  

• 9

• 1

Multiple Choice

Between what 2 (two) consecutive integers does √6 lies?

• 1 and 2

• 2 and 3

• 3 and 4

Multiple Choice

Between what 2 (two) consecutive integers does √55 lies?

• 7 and 8

• 5 and 6

• 6 and 7

Multiple Choice

What perfect square comes before √18 ?

• 25

• 16

• 20

Multiple Choice

What perfect square comes after √18 ?

• 25

• 16

• 20

Multiple Choice

Which of the following irrational number is approximately equal to 13.22?

•  $\sqrt{160}$  

•  $\sqrt{175}$  

•  $\sqrt{195}$  

Multiple Choice

What is the approximate value of √12 to the nearest hundredths?

• 3.46

• 3.76

• 4.46

• 4.76

Multiple Choice

The irrational number √45 is approximately equal to ___________.

• 6.45

• 6.69

• 7.45

• 7.69

Multiple Choice

Which of the following irrational number is approximately equal to 13.22?

•  $\sqrt{160}$  

•  $\sqrt{175}$  

•  $\sqrt{195}$