### All ISEE Lower Level Quantitative Resources

## Example Questions

### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- from our definition of a prime number we know that cannot be correct because prime numbers are greater than .

- A factor pair for is . Though is a prime number, is not.

- A factor pair for is , and is not a prime number.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for is , and is not a prime number.

- A factor pair for is . Though is a prime number, is not.

- A factor pair for is , and is not a prime number.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for is , and is not a prime number.

- A factor pair for is . Though is a prime number, is not.

- A factor pair for is , and is not a prime number.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

Product is the answer to a multiplication problem.

Let's look at our answer options:

- A factor pair for is . Though is a prime number, is not.

- A factor pair for is , and is not a prime number.

- A factor pair for is , and both and are not a prime numbers.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #5 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

Product is the answer to a multiplication problem.

Let's look at our answer options:

- A factor pair for is , and is not a prime number.

- A factor pair for is , and is not a prime number.

- A factor pair for is , and is not a prime number.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #6 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

Product is the answer to a multiplication problem.

Let's look at our answer options:

- from our definition of a prime number we know that cannot be correct because prime numbers are greater than .

- A factor pair for is , and is not a prime number.

- A factor pair for is , and is not a prime number.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

Product is the answer to a multiplication problem.

Let's look at our answer options:

- A factor pair for is . Though is a prime number, is not.

- A factor pair for is , and is not a prime number.

- A factor pair for is , and both and are not a prime numbers.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #8 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

Product is the answer to a multiplication problem.

Let's look at our answer options:

- A factor pair for is , and both and are not prime numbers.

- A factor pair for is , and both and are not a prime numbers.

- A factor pair for is , and is not a prime number.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #2 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

Product is the answer to a multiplication problem.

Let's look at our answer options:

- from our definition of a prime number we know that cannot be correct because prime numbers are greater than .

- A factor pair for is , and is not a prime number.

- A factor pair for is , and is not a prime number.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.

### Example Question #10 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

**Possible Answers:**

**Correct answer:**

Product is the answer to a multiplication problem.

Let's look at our answer options:

- A factor pair for is , and is not a prime number.

- A factor pair for is , and both and are not prime numbers.

- A factor pair for is , and both and are not a prime numbers.

- A factor pair for is . Both and are prime numbers, thus is our correct answer.