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WorksheetsFINAL BOSS
Total questions: 32
Worksheet time: 19mins
What is √81?
9
8
7
6
Which of the following is a perfect cube?
3
4
8
9
Which of the following is NOT an irrational number?
A non-terminating, non-repeating decimal
A square root of prime number
A multiple of π
A fraction in simplest form
Which of the following numbers is located between 10 and 11 on the number line?
√85
√99
√120
√132
Which of the following justifies that ³√10 is irrational?
It equals 3.1623...with no repeating pattern.
The cube root of 10 cannot be expressed as a fraction of two integers.
³√10 is between 2 and 3, and both are integers.
It is a repeating decimal that continues infinitely.
What is the classification of the number 0?
Irrational Number
Rational, but not an integer
Integer, but not a whole number
Rational, integer, whole number
Which of the following statements is true?
All integers are irrational numbers.
All irrational numbers are negative.
All rational numbers are integers.
All irrational numbers are real numbers
Which of the following describes 8/1?
An integer only
A rational number only
An integer and a rational number
An irrational number
A student claims that √50 and ³√125 are both irrational. Is she correct?
Yes, because both are non-perfect squares.
No, because both are rational.
No, because only √50 is irrational.
Yes, because cube roots are always irrational.
Which of the following is a well-defined set?
A. A set of talented singers
B. A set of hardworking students in Grade 7
C. A set of tall buildings
D. A set of factors of 5
Given: A = {n,o,n,b,i,o,d,e,g,r,a,d,a,b,l,e}, what makes the set incorrect?
It uses a capital letter to name set.
It does not list the object once.
It uses braces.
It uses commas.
What is the intersection of A = Set of whole numbers B = Set of Negative Integers?
∞
∅
All elements of Set A
All elements of Set B.
A student solved: A={2,4,6,8}, B={4,6,8} A∪B={2,4,6,8}. Do you agree with his answer? Why?
Agree, because the union should contain only the elements of the first set.
Agree, because the union includes all elements from both sets without repetition.
Disagree, because the answer should list only the common elements.
Disagree, because 6 should not appear in both set.
A student found: A = {x,y,z}, B={y,z,w} he answered: A∩B={x,y,z,w} Which explains the student’s error?
He’s confused union with intersection.
He forgot to include element w.
He listed only the common elements.
He should write y and z twice.
Use this Venn Diagram to answer: What is A∩B?
{10}
{1,3,5,7}
{1,2,3,4,5,7,9,11,13}
{1,2,3,4,5,7,9,10,11,13}
Use this Venn Diagram to answer: What is A∪B?
{10}
{1,3,5,7}
{1,2,3,5,7,9,11,13}
{1,2,3,5,7,9,10,11,13}
Which is the base unit of mass in the metric system?
Meter
Gram
Kilometer
Pounds
Which of the following is NOT true?
5 000 millimeters = 5 meters
26 000 millimeters = 26 meters
1.2 kilometers = 12 000 meters
3 kilometers = 3 000 meters
The length of the cloth is 8 yards. How many meters is this?
8.75 m
6.14 m
6.32 m
7.31 m
The baby weighs 3.9 kgs. What is his weight in pounds?
7 pounds
8.58 pounds
1.77 pounds
1.95 pounds
Mykael has to buy 50 centimeters of ribbon for his project from the store. The saleslady told him that the available ribbon is only 20 inches. Will it be enough?
No, because 50 centimeters is more than 20 inches.
No, because 50 centimeters is only 12.7 inches.
Yes, because 50 centimeters is exactly 20 inches.
Yes, because 50 centimeters is approximately 20 inches.
Liam is helping his mother prepare lemon juice for their family picnic. The recipe says to mix 1.5 liters of water with 250 milliliters of lemon extract. Their measuring jug, however, only shows milliliters (mL), so Liam needs to convert the units first. How many milliliters of water does Liam need?
150 mL
1,500 mL
15,000 mL
150,000 mL
The area of a circle is important in finding the volume of a cylinder because:
it is used to calculate the base area, which is multiplied by the height to find the volume.
it determines the height of the cylinder.
it gives the circumference needed for the volume formula.
it is not related to the volume calculation at all.
Which formula correctly represents the volume of a cylinder?
V = 2πrh
V = πr²h
V = πrh²
V = 2πr²h
Find the volume of Tank A.
A. 84.78 ft³
B. 169.56 ft³
C. 339.12 ft³
D. 678.24 ft³
Find the volume of Tank B.
A. 84.78 ft³
B. 169.56 ft³
C. 339.12 ft³
D. 678.24 ft³
A plumber installs a cylindrical pipe measuring 7 inches tall with a diameter of 2 inches. What is the volume of this pipe?
21.98 in³
43.96 in³
307.72 in³
87.92 in³
The water tank is shaped like a cylinder. The radius of the tank is 10 feet, and the height is 15 feet. How much water can the tank hold?
7 065 ft³
4 710 ft³
942 ft³
471 ft³
Both a prism and a pyramid have the same base area (B) and the same height (h). Their volume formulas are: Prism: V = Bh Pyramid: V = (1/3)Bh Which statement best explains the relationship between the two?
The volume of a pyramid is one-third the volume of a prism with the same base area and height.
The volume of a prism is twice the volume of a pyramid with the same base area and height.
The volume of a prism and a pyramid are equal when they have the same base area and height.
The volume of a pyramid is greater than the volume of a prism with the same base area and height.
The base area of a rectangular pyramid is 180 square feet. If its height is 9 feet, what is its volume?
1 620 cubic feet
540 cubic feet
60 cubic feet
4 860 cubic feet
Find the volume of a square pyramid if its height is 12 inches and its base edge is 7 inches.
84 in³
28 in³
588 in³
196 in³
Ben and nineteen of his friends were to attend a scouting activity and they are required to bring their own tent. Each of them brought a tent in the form of square pyramid with a base edge of 2 yards and a height of 3 yards. What is the volume of Ben’s tent?
6 yd³
2 yd³
12 yd³
4 yd³
