Free Printable Mathematics 7 Second Quarterly Exam (S.Y. 24-25)

1.

Which statement best describes a perfect square?

a)

A number that is always even.

b)

A number that ends with the digit '5'.

c)

A number that can be expressed as the product of two equal integers.

d)

A number that can be expressed as the product of three equal integers.

2.

Which of the following is a perfect square?

a)

16

b)

20

c)

24

d)

35

3.

What is the length of one side of the cube if you have a cube with a volume of 27 cubic units?

a)

2 units

b)

3 units

c)

4 units

d)

5 units

4.

Which of the following statements is true about the values of √64 and 3√27?

a)

Both values are equal.

b)

The √64 is less than the 3√27.

c)

The √64 is greater than the 3√27.

d)

The √64 cannot be compared to the 3√27.

5.

Which of the following numbers is an irrational number?

a)

√2

b)

√16

c)

4.5

d)

33

6.

Where should Marco locate A on the number line?

a)

Between 0 and 1

b)

Between 1 and 2

c)

Between 2 and 3

d)

Between 3 and 4

7.

Where is B located?

a)

It is located at 2.

b)

It is located at 3.

c)

It is located at 1.5.

d)

It cannot be located on the number line.

8.

Marco correctly located C, D, and E on the number line. Which statement best describes their locations on the number line?

a)

D is on the right of E.

b)

All three letters can be found between 0 and 2.

c)

C is located nearer to 5, while D and E are located between 1 and 4.

d)

D is located at exactly 3, while C and E are located between 2 and 4.

9.

Which of the following best illustrates the location of the letters on the number line?

a)

A.

b)

B.

c)

C.

d)

D.

10.

SSLG GARDEN

The SSLG officers are planning to establish a school garden on a vacant lot whose area is 100 m². This would include various plants, flowers, and vegetables. The officers use the SI units of measurement for planting areas, water usage, and other needed materials from different measurement systems to ensure everything is correctly planned.

What is the SI unit used to measure the area of the garden?

a)

Gram

b)

Joule

c)

Liter

d)

Square Meter

11.

SSLG GARDEN

The SSLG officers are planning to establish a school garden on a vacant lot whose area is 100 m². This would include various plants, flowers, and vegetables. The officers use the SI units of measurement for planting areas, water usage, and other needed materials from different measurement systems to ensure everything is correctly planned.

If the lot area allotted for various plants is planned to be 215.28 square feet, how can it be converted into square meters?

a)

Add 215.28 by 10.764

b)

Divide 215.28 by 10.764

c)

Multiply 215.28 by 10.764

d)

Subtract 10.764 from 215.28

12.

SSLG GARDEN

The SSLG officers are planning to establish a school garden on a vacant lot whose area is 100 m². This would include various plants, flowers, and vegetables. The officers use the SI units of measurement for planting areas, water usage, and other needed materials from different measurement systems to ensure everything is correctly planned.

An officer measured the planting area for vegetables to be 500 000 square centimeters, how many square meters is this?

a)

5 m²

b)

15 m²

c)

25 m²

d)

50 m²

13.

SSLG GARDEN

The SSLG officers are planning to establish a school garden on a vacant lot whose area is 100 m². This would include various plants, flowers, and vegetables. The officers use the SI units of measurement for planting areas, water usage, and other needed materials from different measurement systems to ensure everything is correctly planned.

The officers plan to use 200 liters of water per week for the garden. How many cubic meters of water is needed?

a)

0.02 m³

b)

0.2 m³

c)

2 m³

d)

20 m³

14.

SSLG GARDEN

The SSLG officers are planning to establish a school garden on a vacant lot whose area is 100 m². This would include various plants, flowers, and vegetables. The officers use the SI units of measurement for planting areas, water usage, and other needed materials from different measurement systems to ensure everything is correctly planned.

The officers need to analyze the total area required for planting flowers and vegetables. If the area for flowers is 322.92 square feet and for vegetables is 538.20 square feet, what is the total area in square meters?

a)

80 m²

b)

82 m²

c)

84 m²

d)

86 m²

15.

Which statement best summarizes the process of deriving the formula for the volume of a cylinder?

a)

The volume can be understood as stacking multiple circular bases.

b)

The volume is simply found by multiplying any number by its height.

c)

The volume does not depend on the shape; it only depends on height.

d)

The formula for volume is arbitrary and does not relate to its base area.

16.

Maribel saw her classmate writing the formula to calculate the volume of the cylinder in a different way to be 'V = B × h'. What must be the equivalent value of 'B'?

a)

𝑟²

b)

𝜋𝑑

c)

2𝜋𝑟

d)

𝜋𝑟²

17.

What is the area of the base of the water tank?

a)

3π m²

b)

6π m²

c)

9π m²

d)

12π m²

18.

What is the volume of the cylinder tank?

a)

19π m³

b)

26π m³

c)

38π m³

d)

45π m³

19.

Which formula can be used to calculate the volume of the jug?

a)

𝑉 = 𝜋𝑟²

b)

𝑉 = 𝜋𝑟²ℎ

c)

𝑉 = 2𝜋𝑟ℎ

d)

𝑉 = 1/3 𝜋𝑟²ℎ

20.

How much juice can the jug hold?

a)

3π ft³

b)

6π ft³

c)

8π ft³

d)

12π ft³

21.

What is the maximum number of juice servings that Carla can make if the volume per serving of juice is 0.018 ft³?

a)

510

b)

523

c)

545

d)

561

22.

What is the length of the PVC Pipe in millimeters?

a)

200 mm

b)

250 mm

c)

300 mm

d)

350 mm

23.

What is the volume of the PVC pipe based on its inner diameter?

a)

21 675 π mm³

b)

23 756 π mm³

c)

25 837 π mm³

d)

30 000 π mm³

24.

What is the difference in volume of the PVC pipe when calculated using its outer diameter and its inner diameter?

a)

6 650 π mm³

b)

8 325 π mm³

c)

10 000 π mm³

d)

13 350 π mm³

25.

If Noel wants to use a PVC pipe that can contain 2 268 mm³ of water, what is the minimum length of the PVC pipe he needs?

a)

10 mm

b)

11 mm

c)

12 mm

d)

13 mm

26.

What is the formula for calculating the volume of a rectangular pyramid?

a)

𝑉 = 𝑙𝑤ℎ

b)

𝑉 = 1/2 𝑏ℎ

c)

𝑉 = 𝜋𝑟²ℎ

d)

𝑉 = 1/3 𝑙𝑤ℎ

27.

What is the volume of Shane's pyramid?

a)

54 in³

b)

72 in³

c)

81 in³

d)

92 in³

28.

Between Shane's and Tonio's pyramids, which one occupies a larger volume?

a)

Tonio's pyramid is larger in volume.

b)

Shane's pyramid is larger in volume.

c)

Both pyramids occupy equal volume.

d)

Information is insufficient to determine.

29.

To secure her rectangular pyramid, Shane created a box that has the same base and height dimensions as her pyramid. What is the volume of the box?

a)

216 in³

b)

222 in³

c)

258 in³

d)

274 in³

30.

Which of the following best describes how to estimate the volume of a square pyramid?

a)

Add the lengths of all sides of the base and multiply by height.

b)

Multiply the area of the base by height and divide the product by two.

c)

Use the formula for a rectangular prism since both shapes are similar.

d)

Multiply the area of the base by height, and then divide the product by three.

31.

What is the estimated volume of a square pyramid with a base side length of 4 meters and a height of 6 meters.

a)

12 m³

b)

18 m³

c)

24 m³

d)

32 m³

32.

If you have two square pyramids with equal heights but different base side lengths (one with a base side length of 5 meters and another with a base side length of 10 meters), how does their volume compare?

a)

The volume of the larger pyramid is thrice the volume of the other pyramid.

b)

The volume of the smaller pyramid is half the volume of the bigger pyramid.

c)

The volume of the larger pyramid is four times the volume of the smaller one.

d)

The volumes of the two pyramids are equal because they are of the same height.

33.

How can Usher calculate the volume inside his tent?

a)

Base times height, then add 3.

b)

Base times height, divided by 1/3.

c)

Base times height, multiplied by 1/3.

d)

Base minus height, multiplied by 3.

34.

Which mathematical sentence can be used by Vine for calculating the volume inside the tent?

a)

𝑉 = (4)(3)(10)

b)

𝑉 = 1/2 (4)(3)(10)

c)

𝑉 = 1/3 (4)(3)(10)

d)

𝑉 = (3)(4)(3)(10)

35.

What is the volume of Usher's tent?

a)

104.33 ft³

b)

133.33 ft³

c)

180.33 ft³

d)

197.33 ft³

36.

How does the volume of Vine's tent compare to Usher's tent?

a)

Vine's tent has four-tenths the volume of Usher's tent.

b)

Vine's tent's volume is nine-tenths that of Usher's tent.

c)

The volume of Vine's tent is three-tenths that of Usher's tent.

d)

The volume of Vine's tent is seven-tenths the volume of Usher's tent.

37.

What is the difference between the volume of Usher's tent and Vine's tent?

a)

93.33 ft³

b)

95.33 ft³

c)

96.33 ft³

d)

99.33 ft³

38.

CLUB MEMBERSHIP

In a school, there are two clubs: the Science Club and the Art Club. The Science Club has 20 members, and the Art Club has 15 members. Of these, 5 students are members of both clubs.

What is the term used to describe a set that contains all elements from two or more sets?

a)

Complement

b)

Intersection

c)

Subset

d)

Union

39.

CLUB MEMBERSHIP

In a school, there are two clubs: the Science Club and the Art Club. The Science Club has 20 members, and the Art Club has 15 members. Of these, 5 students are members of both clubs.

How many students are in the Science Club or the Art Club?

a)

15 students

b)

20 students

c)

25 students

d)

30 students

40.

CLUB MEMBERSHIP

In a school, there are two clubs: the Science Club and the Art Club. The Science Club has 20 members, and the Art Club has 15 members. Of these, 5 students are members of both clubs.

How many students are members of the Science Club only?

a)

10 students

b)

15 students

c)

20 students

d)

25 students

41.

CLUB MEMBERSHIP

In a school, there are two clubs: the Science Club and the Art Club. The Science Club has 20 members, and the Art Club has 15 members. Of these, 5 students are members of both clubs.

If we want to find out how many students are members of both clubs, which statement is true?

a)

The intersection includes all the members of the two clubs.

b)

The intersection represents only those who are part of both clubs.

c)

The intersection is equal to the total number of members in either club.

d)

The intersection includes no members since they are from different clubs.

42.

In the Venn diagram, which area represents students who like apples only?

a)

The area outside both circles

b)

The area of the banana circle

c)

The area where both circles overlap

d)

The area of the apple circle excluding the banana circle

43.

What does the intersection of the two circles in the Venn diagram represent?

a)

Students who do not like fruit

b)

Students who like only apples

c)

Students who like only bananas

d)

Students who like both apples and bananas

44.

Based on the information provided, how many students like apples only?

a)

10 students

b)

15 students

c)

20 students

d)

25 students

45.

How many students like apples or bananas?

a)

20 students

b)

30 students

c)

40 students

d)

50 students

46.

If 5 more students were found to like bananas only, which Venn diagram would accurately represent the new data?

a)

b)

c)

d)

47.

Which set of numbers does the set of integers include?

a)

Irrational Numbers

b)

Natural Number

c)

Rational Numbers

d)

Whole Numbers

48.

Given N is the set of natural numbers, W is the set of whole numbers, Z is the set of integers, Q is the set of rational numbers, and Q’ is the set of irrational numbers, which of the following statements is true about subsets of real numbers?

a)

𝑄′ ⊆ 𝑁

b)

𝑄 ⊆ 𝑍

c)

𝑍 ⊆ 𝑄

d)

𝑍 ⊆ 𝑊

49.

Which of the following is a set of natural numbers?

a)

{1, 2, 3, 4, 5, …}

b)

{0, 1, 2, 3, 4, …}

c)

{-2, -1, 0, 1, 2, …}

d)

{1, 1.5, 2, 2.5, 3, 3.5, …}

50.

What is the cardinality of the set that includes all the even natural numbers between 5 and 19?

a)

6

b)

7

c)

8

d)

9

Mathematics 7 Second Quarterly Exam (S.Y. 24-25)

Total questions: 50

Worksheet time: 1hrs 15mins

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