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Flashcards: New SAT Math - Calculator

Screen_shot_2013-05-17_at_12.12.58_am

What is the average number of apples a student has?

1.5 $\displaystyle 1.5$

2.5 $\displaystyle 2.5$

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 2$

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Flashcards: New SAT Math - Calculator

Screen_shot_2013-05-17_at_12.12.58_am

What is the average number of apples a student has?

1.5 $\displaystyle 1.5$

2.5 $\displaystyle 2.5$

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 2$

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Flashcards: New SAT Math - Calculator

What is the average number of apples a student has?

Your answer:

1.5 $\displaystyle 1.5$

Your answer:

$\displaystyle 3$

Your answer:

$\displaystyle 1$

Your answer:

$\displaystyle 2$

Correct answer:

2.5 $\displaystyle 2.5$

Explanation:

To calculate the average number of apples a student has, the following formula is used.

$\text{Average } \# \text{of Apples }=\frac{\text{Sum of Apples}}{\text{Sum of Students}}$ $\displaystyle \text{Average } \# \text{of Apples }=\frac{\text{Sum of Apples}}{\text{Sum of Students}}$

First, calculate the total number of apples there are. To do this multiply the number of apples by the number of students that have that many apples.

Screen_shot_2013-05-17_at_12.12.58_am

$\\\text{Total Apples}=3(60)+2(30)+1(10) \\\text{Total Apples}=180+60+10 \\\text{Total Apples}=250$ $\displaystyle \\\text{Total Apples}=3(60)+2(30)+1(10) \\\text{Total Apples}=180+60+10 \\\text{Total Apples}=250$

This number divided by the total number of students.

$\text{Average } \# \text{of Apples }=\frac{\text{250}}{60+30+10}=\frac{250}{100}=2.5$ $\displaystyle \text{Average } \# \text{of Apples }=\frac{\text{250}}{60+30+10}=\frac{250}{100}=2.5$

Flashcards: New SAT Math - Calculator

A vase needs to be filled with water. If the vase is a cylinder that is $\dpi{100} \small 12{}''$ $\displaystyle \dpi{100} \small 12{}''$ tall with a $\dpi{100} \small 2{}''$ $\displaystyle \dpi{100} \small 2{}''$ radius, how much water is needed to fill the vase?

$\dpi{100} \small 64\pi$ $\displaystyle \dpi{100} \small 64\pi$

$\dpi{100} \small 24\pi$ $\displaystyle \dpi{100} \small 24\pi$

$\dpi{100} \small 96\pi$ $\displaystyle \dpi{100} \small 96\pi$

$\dpi{100} \small 12\pi$ $\displaystyle \dpi{100} \small 12\pi$

$\dpi{100} \small 48\pi$ $\displaystyle \dpi{100} \small 48\pi$

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Flashcards: New SAT Math - Calculator

Your answer:

$\dpi{100} \small 64\pi$ $\displaystyle \dpi{100} \small 64\pi$

Your answer:

$\dpi{100} \small 24\pi$ $\displaystyle \dpi{100} \small 24\pi$

Your answer:

$\dpi{100} \small 96\pi$ $\displaystyle \dpi{100} \small 96\pi$

Your answer:

$\dpi{100} \small 12\pi$ $\displaystyle \dpi{100} \small 12\pi$

Correct answer:

$\dpi{100} \small 48\pi$ $\displaystyle \dpi{100} \small 48\pi$

Explanation:

Cylinder

$\dpi{100} \small V = \pi r^{2}h$ $\displaystyle \dpi{100} \small V = \pi r^{2}h$

$\dpi{100} \small V = \pi (2)^{2}\times 12$ $\displaystyle \dpi{100} \small V = \pi (2)^{2}\times 12$

$\dpi{100} \small V = 4\times 12\pi$ $\displaystyle \dpi{100} \small V = 4\times 12\pi$

$\dpi{100} \small V = 48\pi$ $\displaystyle \dpi{100} \small V = 48\pi$

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