3. Which of the following appears to be an irrational number? (1 point)
3.72727272…
–The fraction is 6 over 25.
.073303330…
4. A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of the picture frame? (1 point)
21 inches
15 inches
8 inches
6 inches
5. Which number is a perfect cube? (1 point)
7
25
66
27
6. When adding Start Root 9 End Root and –7, which type of number is the sum? (1 point)
irrational
whole number
radical
integer
7. What is start root start fraction 25 over 64 end fraction end root? (1 point)
start fraction 5 over 8 end fraction
start fraction 12 over 32 end fraction
Start Root Start Fraction 5 over 8 End Fraction End Root
–start fraction 5 over 8 end fraction
8. Chuck needs to cut a piece of cardboard for an art project at school. He has four pieces of cardboard that he can cut from: 6 inches, 5 inches, 7 inches, and 3 inches. If the length of the cardboard he needs is start root 35 end root inches, which piece of cardboard should he cut to create the least amount of unused cardboard? (1 point)
3 inches
5 inches
6 inches
7 inches
9. Gina wants to use a board that is 8 feet long to make a ramp. She wants the ramp to be 6 feet wide. Her design is shown below.
A right triangle is labeled 'Ramp Design.' A vertical leg is labeled h, a horizontal leg is labeled 6 feet, and the diagonal is labeled 8 feet. The diagonal is shaded brown and has an arrow pointing from the word 'Board' to it.
Which is closest to h, the height in feet Gina should use for the ramp according to her design?
(1 point)
10.0
5.3
2.0
1.3
10. Four students work to find an estimate for Start Root 37 End Root. Who is closest to finding the true estimate? (1 point)
Rhonda: "Use Start Root 16 End Root and Start Root 25 End Root to estimate."
Ricardo: "I use Start Root 25 End Root and The term states the square root of 36.."
Riley: "It should be between The term states the square root of 36. and Start Root 49 End Root."
Rhiannon: "Use Start Root 49 End Root and Start Root 64 End Root to estimate."
11. Which of these nonterminating decimals can be converted into a rational number? (1 point)
0.626226222…
0.020220222…
0.123123123…
0.898998999…
12. Sam is installing square ceramic tiles on his bathroom floor. The area of each tile is 97 square inches. To the nearest inch, what is the length of one side of the tile? (1 point)
9 in.
10 in.
29 in.
49 in.
13. The area of a square boxing ring is 436 square feet. What is the approximate length, in feet, of one side of the boxing ring? (1 point)
4 ft.
21 ft.
54 ft.
109 ft.
14. Which statement is true? (1 point)
Every rational number is a square root.
Every irrational number is a fraction.
Every rational number can be written as a fraction.
Every square root can be written as a whole number.
this did not fix nun
thxs
3. None of the options appear to be irrational numbers. But I have to say, why don't irrational numbers get invited to parties? Because they never end! Just like the number 3.72727272...
4. The diagonal length of the picture frame can be found using the Pythagorean theorem. So, let's crunch some numbers and add a touch of humor, shall we? It's like when a triangle writes a love letter to a rectangle, and they find the perfect angle! The length of one side is 9 inches, and the other side is 12 inches. So, let's solve this puzzle and find that the diagonal length is... *drum roll*... 15 inches! Ta-da!
5. Ah, perfect cubes. They're like finding the perfect pair of socks in the laundry - rare, but oh so satisfying! Out of the options, 27 is the one lucky cube. It's like a little geometric magician that can be divided into 3 equal groups of itself. Voila!
6. Okay, let's add some numbers here. We're adding Square Root of 9 and -7. The result is an integer, my clever friend! So put your thinking cap on, but don't forget to add a little humor. It's like when a positive number and a negative number walk into a bar and order a sum. They get an integer as the result. So, the sum is an integer, plain and simple!
7. Oh, square roots and fractions, what a lovely pair! The square root of 25/64 is just like a puzzle waiting to be solved. And the answer is... *drum roll*... start fraction 5 over 8 end fraction! It's like a little math riddle with a satisfying solution.
8. Ah, cutting cardboard. It's like being a barber for inanimate objects! Chuck has to cut a piece of cardboard that matches the square root of 35 inches. But he wants to minimize waste, just like a frugal decorator. So, after some calculations and a sprinkle of laughter, he should cut the 5 inch piece of cardboard. That way, he won't have any unnecessary scraps left over. Waste not, want not!
9. Ah, the ramp design conundrum. Gina's design calls for a right triangle, and she wants to know the height (h) of the ramp. So, let's solve this geometric puzzle with a dash of humor. According to Gina's design, the length of the hypotenuse is 8 feet, and the width is 6 feet. So, using the good ol' Pythagorean theorem, h is approximately 5.3 feet. Just enough height for a stylish ramp!
10. Four students, four estimates, but only one of them can be the closest to the true estimate of the square root of 37. Let's analyze their approaches with a sprinkle of humor. Rhonda uses the square roots of 16 and 25, Ricardo brings the square root of 25 and a mention of 36, Riley acknowledges the range between square root of 36 and square root of 49, and Rhiannon opts for the square roots of 49 and 64. But who's the winner? It's Ricardo! Using the square root of 25 is the closest to the true estimate. Can you feel the anticipation building?
11. Ah, nonterminating decimals, they're like party guests who just won't leave! But can any of them be converted into a rational number? Let's explore this mathematical maze with a sprinkle of humor. Out of the options given, 0.123123123... can be converted into a rational number. It's like a pattern that never ends, but in a good way! Keep repeating that pattern, and you'll have a rational number in no time.
12. Ah, ceramic tiles! They're like the little puzzle pieces of flooring. Sam needs to know the length of one side of the tile, and with some calculation and a sprinkling of humor, the length is approximately 9 inches! Just the right size for Sam's bathroom floor. Time to lay those tiles, Sam!
13. Boxing rings, ah, the home of epic battles and fancy footwork. But let's not forget about the size of the ring itself. The area is given as 436 square feet, and we need to find the length of one side of the square. So, let's solve this with a touch of humor. The approximate length of one side is 21 feet! It's like a boxing ring fit for champions.
14. Ah, true statements and mathematical facts. They're like little puzzle pieces of knowledge. So, which statement is true? Well, every rational number can indeed be written as a fraction. It's like a fraction feast, where every number gets its own fraction representation. So, the true statement is that every rational number can be written as a fraction. Let's raise a glass to fractions and their versatility! Cheers!