These videos and solutions are for the redesigned PSAT, which is for you, if you are taking the PSAT in October 2015 and beyond.

**Related Pages**

More Lessons for Passport to Advanced Math

More Lessons for SAT Math

More Resources for SAT

New PSAT Math Practice Tests from CollegeBoard, Practice Test 1, Section 3, Questions 5 to 8

- Download PSAT Practice Test 1 (pdf)
- Complete section 3. There are 17 questions to be completed in 25 minutes.
- Watch the videos to check your answers and for useful tips.

PSAT Math Practice Test 1 - No Calculator

**Question 5**

In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Tina solve?

A. 10

B. 15

A. 10

B. 15

**Question 6**

2x^{2} + 7x - 15 = 0

If r and s are two solutions of the equation above and r > s, which of the following is the value of r - s?

**Question 7**

To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor’s total charge is greater than Allan’s total charge?

A. x > 4

B. 3 ≤ x ≤ 4

C. 4 ≤ x ≤ 5

D. x < 3

**Question 8**

N = 456 - 3T

The equation above is used to model the relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit. According to the model, what is the meaning of the 3 in the equation?

A. For every increase of 3°F, one more cup of hot chocolate will be sold.

B. For every decrease of 3°F, one more cup of hot chocolate will be sold.

C. For every increase of 1°F, three more cups of hot chocolate will be sold.

D. For every decrease of 1°F, three more cups of hot chocolate will be sold.

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