ILEARN review
Quiz
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+7
Standards-aligned
Marie Nelson
Used 4+ times
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33 questions
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1.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
David is building a ramp for his skateboard. The ramp forms a right triangle with the ground, with one leg of the triangle being 3 cm and the other leg being 4 cm. What is the length of the hypotenuse of the ramp?
5 cm
6 cm
7 cm
8 cm
Answer explanation
To find the hypotenuse of a right triangle, use the Pythagorean theorem: a² + b² = c². Here, 3² + 4² = 9 + 16 = 25. Thus, c = √25 = 5 cm. Therefore, the hypotenuse is 5 cm.
Tags
CCSS.8.G.B.7
2.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Rohan is trying to measure the diagonal of a square field using a rope. He knows the side of the square is 1 unit. Which of the following numbers represents the length of the diagonal of the square field?
0.75
1.333...
Answer explanation
The number \( \sqrt{2} \) is irrational because it cannot be expressed as a fraction of two integers. In contrast, \( \frac{1}{2} \), 0.75, and 1.333... are all rational numbers.
Tags
CCSS.8.NS.A.2
3.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Liam has a ribbon that is 0.666... meters long. Convert the length of the ribbon into a fraction.
Answer explanation
To convert 0.666... to a fraction, let x = 0.666... . Then, 10x = 6.666... . Subtracting these gives 9x = 6, so x = 6/9, which simplifies to 2/3. Thus, the correct answer is \frac{2}{3}.
Tags
CCSS.7.NS.A.2D
CCSS.8.NS.A.1
4.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Answer explanation
The volume of a cylinder is calculated using the formula V = πr²h. Here, r = 3 cm and h = 5 cm. Thus, V = π(3²)(5) = π(9)(5) = 45π cm³. Therefore, the correct answer is 45π cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Grace is measuring the thickness of a thin sheet of paper. She finds that the thickness is 0.00045 meters. What is the scientific notation for this thickness?
Answer explanation
To convert 0.00045 to scientific notation, move the decimal point 5 places to the right, giving 4.5. This corresponds to multiplying by 10 raised to the power of -5, so the correct answer is 4.5 × 10^{-5}.
Tags
CCSS.8.EE.A.3
6.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Daniel is tracking his daily exercise time and the calories he burns. A scatter plot shows a positive linear association between the time he exercises and the calories burned. Which of the following best describes this pattern?
As Daniel exercises more, he burns fewer calories.
As Daniel exercises more, he burns more calories.
There is no relationship between exercise time and calories burned.
The calories burned are inversely proportional to exercise time.
Answer explanation
A positive linear association means that as one variable increases, the other also increases. This is best described by the choice: 'As one variable increases, the other increases.' The other options describe different relationships.
Tags
CCSS.HSF-LE.A.1B
7.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Aria is building a ramp for her skateboard. The ramp forms a right triangle with the ground. The hypotenuse of the ramp is 10 cm long, and one leg of the triangle is 6 cm long. What is the length of the other leg of the ramp?
8 cm
7 cm
9 cm
5 cm
Answer explanation
Using the Pythagorean theorem, a² + b² = c², where c is the hypotenuse. Here, 6² + b² = 10². This simplifies to 36 + b² = 100. Thus, b² = 64, and b = 8 cm. Therefore, the length of the other leg is 8 cm.
Tags
CCSS.8.G.B.7
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