SAT II Math I : SAT Subject Test in Math I

Study concepts, example questions & explanations for SAT II Math I

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Example Questions

Example Question #4 : Probability

Joe has five apples, four oranges, six bananas, and five limes. What's the probability he gets two apples without replacement?

Possible Answers:

Correct answer:

Explanation:

Since we are trying to get two apples without replacement, this is a condition we need to meet. This means we need to multiply probabilities. For his first pick he has five apples out of twenty fruits in which the probability is  or . With one apple gone, there are only nineteen fruits left. Since he wants to get another apple, there areonly four apples left out of nineteen fruits or . Now, we multiply our probabilities:

Example Question #5 : Probability

I pick a number from  to . What's the probability I get a prime number

Possible Answers:

Correct answer:

Explanation:

Prime numbers are numbers with factors of  and itself. Those numbers are . Our probability:

 The numerator represents how many possibilites we are looking for. The denominator represents the total in the given data.

Answer is .

Example Question #4 : Probability

Sheila flips a coin  times. What’s the probability she doesn’t get heads on all the flips?

Possible Answers:

Correct answer:

Explanation:

To not get any heads, this would mean Sheila would need to get tails on all the flips. Since there are two choices in a flip and Sheila only want tails, our chances is . Since she needs this done twice more, this becomes a condition and we need to multiply out our probabiities. The odds are the same so our answer is just .

Example Question #11 : Probability

If you draw an ace from and deck then place it back in the deck, what is the probability of drawing another ace?

Possible Answers:

Correct answer:

Explanation:

Since the first card was placed back into the deck, it will have no effect on the second draw.  

Since there are  aces in a deck of  cards, the probability would be

  or .

Example Question #11 : Probability

A fair 6 sided die is rolled twice. What is the probability of observing a 6 both times?

Possible Answers:

Correct answer:

Explanation:

The probability of rolling a 6 once is  because 6 is one of 6 different possible outcomes.

The probability of two independent events happening can be multiplied together. The probability of getting 2 6's is:

Example Question #812 : Sat Subject Test In Math I

If an integer  is randomly selected such that , what is the probability that  is a prime number?

Possible Answers:

Correct answer:

Explanation:

Probability is defined as specified outcomes divided by total possible outcomes.

Recall that a prime numbered is defined as a number that is divisible only by one and itself, and  is not prime. There are  prime numbers in the range of possible  values: 

Notice that the range of values,  includes zero , so there are  total numbers to select from.

Example Question #1 : Representing Data

Graph

The above graph represents the results of the student body election at Big State College. 

Who finished fourth?

Possible Answers:

Hall

Carson

Lamont

Franklin

Johns

Correct answer:

Franklin

Explanation:

The wedges, in descending order of size, are the ones that are green, blue, purple, dull red, and bright red. The dull red wedge, which, according to the legend, represents Franklin, is the fourth-largest.

 

Example Question #2 : Representing Data

Graph

The above graph represents the results of a general election for two seats on the city council of Wilson City. Franklin and Hall are Democrats; Johns and Lamont are Republicans; Carson is an independent.

5,310 people voted for Democrats. Which of the following is the best estimate of the number of people who voted in the election overall?

Possible Answers:

Correct answer:

Explanation:

The two wedges that represent the Democratic candidates - green (Hall) and deep red (Franklin) - make up about 55% of the circle. The problem becomes, essentially, to figure out what 5,310 is 55% of. This can be done by dividing 5,310 by 0.55:

9,700 is the best estimate.

Example Question #1 : Other Data Analyses

Stem_and_leaf

Above is the stem-and-leaf display for a group of test scores. Which of the following scores would come closest to being at the 70th percentile?

Possible Answers:

Correct answer:

Explanation:

The stem-and-leaf display represents 53 scores. The score at the 70th percentile would be the score that is greater than 70% of the 53 scores, or 

 scores.

We count up 38 scores from the bottom:

Stem_and_leaf_2

The 38th-lowest score is 78, which is the correct choice.

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