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PSAT 10 Do Now

Total questions: 73

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

How long is the PSAT?

a)

30 Minutes

b)

2 Hours and 45 Minutes

c)

6 Hours

d)

2 Days

2.

True or False: There is a penalty for guessing or leaving blank responses.

a)

True

b)

False

3.

The skills tested on the PSAT are:

a)

Reading

b)

Writing and Language

c)

Math

d)

All of the Above

4.

The contents of the Reading Test includes the following (select all that apply):

a)

5 Reading Passages

b)

47 Passage-Based Questions

c)

All Multiple Choice

d)

No Mathematical Computation

5.

The contents of the Writing and Language Test include (select all that apply):

a)

4 Passages

b)

44 Passage Based Questions

c)

All Questions are Multiple Choice

d)

No Mathematical Computation is Required

6.

The contents of the Math Test include (select all that apply):

a)

2 Test Sections

b)

48 Questions

c)

40 Multiple Choice, 8 Grid-ins Questions

d)

Math Test - Calculator and Math Test - No Calculator

7.

True or False: The PSAT serves as an entry point to over $235 million in scholarships for qualified students with financial needs.

a)

True

b)

False

8.

Read the following passage:

[...] The coming decades will likely see more intense clustering of jobs, innovation, and productivity in a smaller number of bigger cities and city-regions. Some regions could end up bloated beyond the capacity of their infrastructure, while others struggle, their promise stymied by inadequate human or other resources.


The underlined word "intense" most nearly means:

a)

emotional.

b)

concentrated.

c)

brilliant.

d)

determined.

9.

Read the following passage:

[...] As Kingman developed as a painter, his works were often compared to paintings by Chinese landscape artists dating back to CE 960, a time when a strong tradition of landscape painting emerged in Chinese art. Kingman, however, vacated from the tradition in a number of ways, most notably in that he chose to focus not on natural landscapes, such as mountains and rivers, but on cities. [...]


The underlined word "vacated" most nearly means:

a)

NO CHANGE

b)

evacuated

c)

departed

d)

retired

10.

Calculator Permitted


Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional one-time untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron's total charge, in dollars, for staying x nights?

a)

(99.95 + 0.08x) + 5

b)

1.08(99.95x) + 5

c)

1.08(99.95x + 5)

d)

1.08(99.95 + 5)x

11.

Calculator Not Permitted

In this equation, what is the value of k?
(5(k+2)−7)6=(13−(4−k))9\frac{\left(5\left(k+2\right)-7\right)}{6}=\frac{\left(13-\left(4-k\right)\right)}{9}  

a)

97\frac{9}{7}  

b)

913\frac{9}{13}  

c)

3317\frac{33}{17}  

d)

3313\frac{33}{13}  

12.
Tyra subscribes to an online gaming service that charges a monthly fee of $5.00 and $0.25 per hour for time spent playing premium games. Which of the following functions gives Tyra's cost, in dollars, for a month in which she spends x hours playing premium games? 
a)
C(x) = 5.25x
b)
C(x) = 5x + 0.25
c)
C(x) = 5 + 0.25x
d)
C(x) = 5 + 25x
13.
Which ordered pair (x,y) satisfies the system of equations shown below?
2x - y = 6
x + 2y = -2 
a)
(-6, 2)
b)
(-2, 2) 
c)
(2, -2) 
d)
(4, 2) 
14.
A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? (1 gallon = 128 ounces) 
a)
25
b)
78
c)
2,560
d)
3,200
15.
A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 34 miles per gallon. Approximately how many gallons of fuel did the car use for the entire 3-hour trip? 
a)
3
b)
2
c)
6
d)
7
16.
A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be the total number of games the team played last season? 
a)
22
b)
20
c)
18
d)
14
17.
110x + y = 1,210
A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11,0) is a solution to this equation? 
a)
During the promotion, 11 samples are given away each day. 
b)
It takes 11 days during the promotion to see 1,210 customers. 
c)
It takes 11 days during the promotion until none of the samples are remaining. 
d)
There are 11 samples available at the start of the promotion. 
18.
Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, by weight, of raspberries declined by 50 percent. By what percentage did the total yield, by weight, of Boyd's garden decline? 
a)
29%
b)
30%
c)
35%
d)
70%
19.
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden is 5,670 square feet? 
a)
342 feet 
b)
318 feet 
c)
300 feet 
d)
270 feet 
20.

Which of the following is an equivalent form of the expression

15x+24ax15x+24ax  

a)

39ax239ax^2  

b)

39(a+2x)39\left(a+2x\right)  

c)

(5+8a )x\left(5+8a\ \right)x  

d)

(15+24a)x\left(15+24a\right)x  

21.

The formula

d=rtd=rt  is used to calculate the distance an object travels over a period of time,  tt  , at a constant rate,  rr . Based on this formula, what is the rate, 

rr  , in terms of  dd  and  tt  ?

a)

r=dtr=\frac{d}{t}  

b)

r=dtr=dt  

c)

r=tdr=\frac{t}{d}  

d)

r=d−tr=d-t  

22.

Which of the following ordered pairs (x,y)\left(x,y\right) satisfies both equations  y=x2+3x−4y=x^2+3x-4  and  x=y−4x=y-4  ? 


a)

(0,-4)

b)

(2,6)

c)

(3,14)

d)

(5,9)

23.

Which of the following is a solution to the equation 2x2+4x=3+3x22x^2+4x=3+3x^2  ?


a)

-1

b)

0

c)

3

d)

6

24.

-3x-4y=20
    x-10y=16

If (x,y) is the solution to the system of equations above, what is the value of x?

a)

-14

b)

-12

c)

-4

d)

16

25.

The equation y=36 + 18x models the relationship between the height y, in inches, of a typical golden delicious apple tree and the number of years, x, after it was planted. If the equation is graphed in the xy-plane, what is indicated by the y-intercept of the graph?

a)

The age, in years, of a typical apple tree when it is planted

b)

The height, in inches, of a typical apple tree when it is planted

c)

The number of years it takes a typical apple tree to grow

d)

The number of inches a typical apple tree grows each year

26.

Giovanni wants to buy shirts that cost $19.40 each and sweaters that cost $24.80 each. An 8% sales tax will be applied to the entire purchase. If Giovanni buys 2 shirts, which equation relates the number of sweaters purchased, p, and the total cost in dollars, y?

a)

1.08(38.80+24.80p)=y

b)

38.80+24.80p=0.92y

c)

38.80+24.80p=1.08y

d)

0.92(38.80+24.80p)=y

27.

A line is graphed in the xy-plane. If the line has a positive slope and a negative y-intercept, which of the following points cannot lie on the line?

a)

(-3,-3)

b)

(-3,3)

c)

(3,-3)

d)

(3,3)

28.

A parachute design uses 18 separate pieces of rope. Each piece of rope must be at least 270 centimeters and no more than 280 centimeters long. What inequality represents all possible values of the total length of rope x, in centimeters, needed for the parachute?

a)


270≤x≤280270\le x\le280

b)

4860≤x≤48704860\le x\le4870

c)

4860≤x≤50404860\le x\le5040

d)

5030≤x≤50405030\le x\le5040

29.

A carpenter has $60 with which to buy supplies. The carpenter needs to buy both nails and screws. Nails cost $12.99 per box, and screws cost $14.99 per box. If n represents the number of boxes of nails and s represents the number of boxes of screws, which of the following systems of inequalities models this situation?

a)

{12.99n+14.99s ≥\ge 60
{n+s ≤\le 1

b)

{12.99n+14.99s ≤\le 60

{n+s undefined 1

c)

{12.99n+14.99s nullnull 60

{n ≥\ge 1
{s ≥\ge 1

d)

{12.99n+14.99s ≤\le 60

{n undefined 1

{s undefined 1

30.

In the figure above, which of the following ratios has the same value as  ABBC\frac{AB}{BC}  

a)


BDDC\frac{BD}{DC}  

b)

BCAC\frac{BC}{AC}  

c)

ADBD\frac{AD}{BD}  

d)

DCBC\frac{DC}{BC}  

31.

(x2y3)12(x2y3)13=xa3ya2\left(x^2y^3\right)^{\frac{1}{2}}\left(x^2y^3\right)^{\frac{1}{3}}=x^{\frac{a}{3}}y^{\frac{a}{2}}  


If the equation above, where a is a constant, is true for all positive values of x and y, what is the value of a?

a)

2

b)

3

c)

5

d)

6

32.

If the equation y=(x-6)(x+12) is graphed in the xy-plane, what is the x-coordinate of the parabola's vertex?

a)

-6

b)

-3

c)

3

d)

6

33.

21x+14=7(3x+a)


In the equation above, a is a constant. For what value of a does the equation have an infinite number of solutions

(a)  

34.

Juliene practiced her dance routine for twice as many minutes on Monday as she did on Tuesday. She practiced her routine those two days for a total of 2 hours and 15 minutes. For how many minutes did Juliene practice her dance routine on Monday?

(a)  

35.

In the expression below, a is an integer. 12x2+ax−2012x^2+ax-20  If 3x+4 is a factor of the expression above, what is the value of a?

(a)  

36.

(ax+by)(cx-dy)


In the expression above, a, b, c, and d are non-zero constants and ad=bc. If ac=18 and bd=50, what is the value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected?

(a)  

37.

Should you leave any questions blank on the PSAT?

a)

Yes

b)

No

38.

You should never leave a question blank because

a)

you might get it wrong if you guess wrong

b)

you don't lose points if you're wrong, and you just might get it right. So why not guess?

c)

because monkeys are good guessers

39.

You can use a calculator on the whole test.

a)

True

b)

False

40.

What two subjects are tested on the PSAT 8/9?

a)

English/Science

b)

English/Math

c)

Math/Science

d)

Math/Social Studies

41.

The math sections are broken into two sections: Calculator & Non-Calculator.

a)

True

b)

False

42.

What is the point of the 8/9 PSAT? (choice the best choice)

a)

to see where your current knowledge and skills are

b)

just to take another test

c)

because the teacher said to

d)

prepare you for high school

43.

How much time per PASSAGE do you have on the READING test?

a)

10 Minutes

b)

42 Minutes

c)

11 Minutes

d)

55 Minutes

44.

During READING portion, what are some tips you for when you read

(Select all that apply)

a)

Spend 5 minutes reading passage

b)

Underline or Circle Word/Phrases that provide main idea for paragraph

c)

Underline or Circle Author's Opinion

d)

Write 3-5 Words to summarize each paragraph

e)

Quickly read through the text

45.

During Reading portion, what should you do after 11 minutes?

a)

Move on to next passage

b)

Stretch

c)

Look at your neighbors paper

d)

Dance!

46.

When answering questions, you should:

a)

Guess answer before looking at choices

b)

DONT guess before looking at choices

c)

Refer back to passage when answering vocab questions

d)

DONT refer back to passage when answering vocab

e)

Simplify complicated questions

47.

Match the following

a)

"How would I explain this to a small child"

1.

To simplify questions, you should

b)

NO

2.

Should I jump from passage to passage?

c)

Yes- Refer back to text everytime.

3.

The vocab words could have a secondary meaning.

d)

11 Minutes

4.

Time per reading passage and questions?

e)

Underline

5.

I should always ______ author's opinion

48.

The writing/literature portion has how many questions?

a)

10

b)

20

c)

30

d)

40

49.

How many questions are on the Writing Portion

a)

2

b)

4

c)

6

d)

8

50.

Match the following

a)

No- Do not skip over any sentences

1.

Writing Portion- I only need to focus on underlined words/phrases

b)

5 Passage/Essays

2.

Reading Test

c)

4 Passage/Essays

3.

Writing Test

d)

Are NEVER correct.

4.

Redundant Answers

e)

Comma Usage

5.

Watch closely for

51.

Questions that I do not know at all or don't understand I should

a)

Answer A always

b)

Answer B always

c)

Answer C always

d)

Pick a letter of the day and stick with it.

52.

What is the best, general test-taking strategy of all time?

a)

Guess on every problem

b)

Process of Elimination

c)

Letter of the Day

d)

Plug in the Answer Choices

53.

What section of the PSAT comes first?

a)

PSAT Math - No Calculator

b)

PSAT Math - With Calculator

c)

PSAT Reading

d)

PSAT Language and Writing Test

54.

Which question difficulties should you focus on? (2 answers)

a)

Easy

b)

Medium

c)

Hard

d)

Extremely Hard

55.

How many incorrect answer choices are there per question on the PSAT?

a)

1

b)

2

c)

3

d)

4

56.

How many correct answer choices are there per question on the PSAT?

a)

1

b)

2

c)

3

d)

4

57.

When working with your PSAT test booklet, you should always:

a)

Check it for spelling errors!

b)

Go through the questions in order!

c)

Avoid writing in it!

d)

Mark it up!

58.

Never leave any questions blank!

a)

True

b)

False

59.

Always complete the problems for each section in order!

a)

True

b)

False

60.

There will be charts, tables, and/or graphs in every section of the PSAT!

a)

True

b)

False

61.

Find the value of the variable using these steps.

0.4x + 3.9 = 5.78

1. Subtraction property of equality

2. Division property of equality

a)

3.2

b)

4.7

c)

3.5

d)

2.3

62.

Solve the linear equation for x.

–4.8(6.3x – 4.18) = –58.56

a)

2.1

b)

4.2

c)

5.3

d)

2.6

63.

A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies?

Which equation represents the scenario?

a)

6.25=30.75

b)

2.65x+10x=30.75

c)

12x=30.75

d)

6.25x+12x=30.75

64.

n a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points than the Hornets. Together the three teams scored 184 points. Let x represent the number of points scored by the Hornets.

Translate the scenario.

Hornets = x

a)

(Bees:x+28) (Wasp: 3x-9) (Equation: 4x- 20+3x=184

b)

(Bees:3x-9) (Wasp: x+28) (Equation: 4x- 20+3x=184

c)

(Bees:3x-9) (Wasp: x+28) (Equation: x+(3x-9)+(x+28)=184

d)

(Bees:3x-9) (Wasp: x+28) (Equation:(3x-9)+(x+28)=184

65.

What is the solution to the inequality 3t + 9 ≥ 15 ?

a)

t ≥ 3

b)

t ≥ 1

c)

t ≥ 2

d)

t ≥ 4

66.

Which graph shows the correct representation of {x | x ≤ 5}?

a)
b)
c)
d)
67.

The art club has a budget of $350 for art supplies. The club has already purchased a display board for $125 and would like to buy several canvases. The canvases are $15 each. How many canvases can the club buy?Let x represent the number of canvases. Which inequality can be used to find x?

a)

350 ≥ 125 + 15x

b)

350 > 125 – 15x

c)

350 ≤ 125 – 15x

d)

350 < 125 + 15x

68.

Which values is a solution to 90 < –30p + 15?

a)

p=-10

b)

p=0

c)

p=-2.5

d)

p=3

69.

The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution?

a)

The truck can hold more than 22 boxes.

b)

The truck can hold more than 23 boxes.

c)

The truck can hold up to 22 boxes.

d)

The truck can hold up to 23 boxes.

70.

he temperature of magnesium must be at least 650 degrees for the metal to melt. A sample of magnesium is currently 255 degrees. The temperature of the magnesium is increased by 10 degrees every minute. Which inequality shows the number of minutes (m) needed to raise the temperature to the melting point?

a)

m > 39.5

b)

m > 87.5

c)

m ≥ 39.5

d)

m ≥ 87.5

71.

Which inequality is true for all real numbers? Check all that apply.

a)

a – b < a + b

b)

ac ≥ bc

c)

If a ≥ b, then a + c ≥ b + c

d)

If a < b, then a < b + c

72.

Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?

a)

25%

b)

50%

c)

65%

d)

70%

73.
A pharmacist filled 5 prescriptions in 20 minutes.  At this rate, how many prescriptions would the pharmacist expect to gill in 2 hours?
a)
15
b)
25
c)
30
d)
35

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