### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Add Integers

My sister invited me to play an online word game. In the game vowels (a,e,i,o,u) are worth 3 points and consonants are worth 5. How much would I score if I use the word “University” ?

**Possible Answers:**

63

42

45

30

**Correct answer:**

42

In the word we have 4 vowels (3 x 4 = 12 points) and 6 consonants (5 x 6= 30). If we add the points together we get a total of 42 points.

### Example Question #2 : How To Add Integers

What is the sum of multiples of 10 from 10 to 140 inclusive?

**Possible Answers:**

**Correct answer:**1050

Listing them all, 10-20-30-40-50-60-70-80-90-100-110-120-130-140 you see you can divide the numbers in half (7 pairs). Alternatively you can take (140-10+10)/2/10, adding that additional +10 in the numerator because it is inclusive, giving you 7. Just adding the top and bottom numbers gives you 10+140 for 150. 150*7 is 1050.

### Example Question #3 : How To Add Integers

What number replaces the circle in the following sequence?

**Possible Answers:**

**Correct answer:**

The sequence is formed by starting with 1 and adding successive powers of 5. The numbers are obtained as follows:

- the correct response.

### Example Question #4 : How To Add Integers

Suppose you know the values of the variables in the expression

and you wish to evaluate it.

Which operation do you execute *last*?

**Possible Answers:**

Multiplication

Addition

Subtraction

Squaring

Division

**Correct answer:**

Addition

In the absence of grouping symbols, the first operations that should be carried out are exponentiations, followed by multiplications and divisions, followed by additions and subtractions.

The additions and subtractions are carried out from left to right. Since the addition is the one to the right, it is performed last.

### Example Question #5 : How To Add Integers

Refer to the above graph. Francie, a sixth grader at Polk, scored a 372 on the math portion of the SCAT. Which of the following *could *have been her rank among the students?

**Possible Answers:**

**Correct answer:**

By scoring a 372, Francie was outcored by all of the students who finished in the 401-800 ranges, which add up to:

students.

She was outscored by at most an additional 17 students (the other 17 in the 301-400 range), for a total of at most

students.

Francie finished between 97th and 114th place, making 100th place the only possible choice.

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