The sat skill exam 3 pptx

Then, decide which of the answer choices is best, and fill in the corresponding oval on your answer sheet.. A recipe for 4 servings requires salt and pepper to be added in the ratio of 2

45˚

s

s

2s

¯¯¯¯¯3x

60˚

30˚

h

b

A =12bh

l

w h

l

A = πr2

C = 2πr

r

V = πr2h

h

Special Right Triangles

• The measure of a straight angle is 180˚

• There are 360 degrees of arc in a circle



Five-Choice Questions

Solve each problem Then, decide which of the answer choices is best, and fill in the corresponding oval on your answer sheet

1 By how much does the product of 8 and 25

exceed the product of 15 and 10?

a 25

b 50

c 75

d 100

e 125

2 If k – 1 is a multiple of 4, what is the next larger

multiple of 4?

a k + 1

b 4k

c k – 5

d k + 3

e 4(k – 1)

3 If 2x + 1 = 32, then (x + 1)2=

a 5

b 4

c 16

d 25

e 31

4 If (x + 7)(x – 3) = 0, then x =

a 7 or 3

b 7 or –3

c –7 or 3

d –7 or –3

e –4 or –3

5 Which of the following expressions represents

the phrase “3 less than 2 times x”?

a 3 – 2x

b 2 – 3x

c 3x – 2

d 2x – 3

e 2(3 – x)

6 A recipe for 4 servings requires salt and pepper to

be added in the ratio of 2:3 If the recipe is adjusted to make 8 servings, what is the ratio of the salt and pepper that must now be added?

a 4:3

b 2:6

c 2:3

d 3:2

e 8:4

 M a t h P r e t e s t

■ All numbers in the problems are real numbers

■ You may use a calculator

■ Figures that accompany questions are intended to provide information useful in answering the questions Unless otherwise indicated, all figures lie in a plane Unless a note states that a figure is drawn to scale, you should NOT solve these problems by estimating or by measurement, but by using your knowledge of mathematics

c 5 ≤ x ≤ 9

d 4 < x < 14

e 5 ≤ x < 14

8 What is the area of a circle with a circumference

of 10π?

a.10π

b 5π

c 25π

d 100π

e 100π2

9 An ice cream parlor makes a sundae using one of

six different flavors of ice cream, one of three dif-ferent flavors of syrup, and one of four difdif-ferent toppings What is the total number of different sundaes that this ice cream parlor can make?

a 72

b 36

c 30

d 26

e 13

10 a1, a2, a3, a4, a5, a n

In the sequence of positive integers above,

a1= a2= 1, a3= 2, a4= 3, and a5= 5

If each term after the second is obtained by adding the two terms that come before it and if

a n = 55, what is the value of n?

a 12

b 10

c 9

d 8

c 390,625

d 703,125

e 1,953,125

12 Alex wore a blindfold and shot an arrow at the

tar-get shown below Judging by the noise made on impact, he can tell that he hit the target What is the probability that he hit the shaded region shown?

a 1 out of 4

b 1 out of 8

c 1 out of 16

d 1 out of 32

e 1 out of 64

2 8

13 Given the following:

Set A is the set of prime integers

Set B is the set of positive odd integers

Set C is the set of positive even integers

Which of the following are true?

I Set A | Set C yields Ø

II Set A | Set B contains more elements than Set A | Set C

III Set B | Set C yields Ø

a I only

b II and III only

c II only

d III only

e I and III only

14 Line l has the equation 3x – y = 8.

What is the y-intercept of line l?

a (8,0)

b (0,8)

c (–8,–8)

d (0,–8)

e (–8,0)

15 In the triangle below, what is the length of the

hypotenuse, h?

a 12.53

b.

c 25

d 253

e. 2533

12.53

 3

30o

12.5

h

■ The answer sheets are scored by a machine, so regardless of what else is written on the answer sheet, you will only receive credit if you have filled in the ovals correctly

■ Be sure to mark only one oval in each column

■ You may find it helpful to write your answer in the boxes on top of the columns

■ If you find that a problem has more than one correct answer, grid only one answer

■ None of the grid-in questions will have a negative number as a solution

■ Mixed numbers like 113must be entered as 1.3333 or 43 (If the response is “gridded” as 131, it will be read

as 131, not 113.)

■ If your answer is a decimal, use the most accurate value that can be entered into the grid For example, if your solution is 0.333 , your “gridded” answer should be 333 A less precise answer, like 3 or 33, will be scored as an incorrect response

1 2 3

•

2 3

0

• /

1 2 3

0

•

1 2 0

•

1 2 3

1 2 0

• /

1 2 0

• /

1 2 0

•

These are both acceptable ways to grid = 0.333. 1

1 2 3

5 6 7 8 9

•

1 2 3 4 5 6 7 8 9

0

•

1 2

4 5 6 7 8 9

0

• /

1 2 3 4 5 6 7 8 9

0

•

2 3 4 5 6 7 8 9

•

1 2 3 4 5 6 7 8 9

0 /

1 2 3

5 6 7 8 9

0

• /

1 2 3 4 5 6

8 9

0

•

Note: You may start your answers in any of the columns,

as long as there is space.

16 A wealthy businessperson bought charity auction

tickets that were numbered consecutively, 5,027 through 5,085 How many tickets did she purchase?

17 For some value of x, 5(x + 2) = y After the value

of x is increased by 3, 5(x + 2) = z What is the value of z – y?

18 When a positive integer k is divided by 6, the

remainder is 3 What is the remainder when 5k is

divided by 3?

19 If (x – 1)(x – 3) = –1, what is a possible solution

for x?

20 If 4 times an integer x is increased by 10, the

result is always greater than 18 and less than 34

What is the least value of x?

21 A string is cut into two pieces that have lengths in

the ratio 4:5 If the length of the string is 45 inches, what is the length of the longer string?

22 If x – 8 is 4 greater than y + 2, then by how much

is x + 12 greater than y?

23 A brand of paint costs $14 a gallon, and 1 gallon

of paint will cover an area of 150 square feet

What is the minimum cost of paint needed to cover the 4 walls of a rectangular room that is 12 feet wide, 16 feet long, and 8 feet high?

24 How many degrees does the minute hand of a

clock move from 5:25 p.m to 5:47 p.m of the same day?

25 If the operation ∇ is defined by the equation

∇y = 3x + 3y, what is the value of 3∇4?

26 What is the value of s below?

=

When multiplying two 2 × 2 matrices, use the formulas:

27 If x5= 243, what is the value of x–3?

28 In the diagram below, AB  is tangent to circle C at point B What is the radius of circle C if AC is 20?

29 Given f(x) = 3x2+ 2–x+ 38, find f(3).

30 For the portion of the graph shown, for how

many values of x does f(x) = 0?

x

y

1 2 3 4 5 6 7 1

2 3 4 5

–1 –2 –3

–1 –2 –3 –4 –5 –6 –7

A

B

C

16

[a1b1+ a2b3 a1b2+ a2b4

]

a3b1+ a4b3 a3b2+ a4b4 [b1b2

]

b3b4 [a1a2

]

a3a4

[q r

]

s t

[1 8

]

2 1

[5 8

]

4 1