SAT Math
worksheet
Done by:o
o
o
o
Alanood Mohamed
Asala Fadel
Iman Jumaa
Noura Mohamed
1- If the median of a set of five consecutive
integers is equal to 13, then what is the value of
the largest of these five integers ?(statistic )
(A) 11
(B) 13
(C) 15
(D) 17
(E) 19
(A) One
(B) Two
(C) Three
(D) Four
(E) Five
These five numbers are:11-12-13-14-15
They are consecutive
numbers with the median 13
and the largest is 15.
1.
2.
3.
4.
5.
6.
30
10
3
2
5
6- If 𝓍𝛾𝓏 = 𝓏 and the value of 𝓍 is 0 , which of
the following must be true?(Algebra )
2- If 𝜘 + 4𝜘 − 3𝜘 + 1 = 3 , then what is the
value of 𝜘? (Algebra )
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
5- How many of the prime factors of 30 are
greater than 2 ? (Arithmetic )
(A) 𝛾 = 0
(B) 𝓏 = 0
(C) 𝓍𝛾 = 1
(D) 𝓏 = 1
(E) 𝛾 = 1
5x-3x+1=3
2x+1=3
2x=3-1
2x=2
x= 2/2
x=1
Any number times 0 equals to 0,
so if x =0 then:(0)(y)(z)=z
0=z
1
3- If the probability of selecting a red marble is 3
and the probability of selecting a blue marble is
2
, what is the ratio of blue marbles to red
3
marbles? (Arithmetic )
1.
2⁄
3
1⁄
3
2
3
(A) 1:2
(B) 3:2
2. 3 × 1
(C) 2:1
2
3. 1
(D) 2:3
(E) 3:1
4- Given that |𝑚 − 2| = 7 and |𝑛 − 3| = 6
, Where m<0 and n<0, what is the value of mn?
(Arithmetic)
(A) 6
(B) 15
(C) 21
(D) 42
(E) 81
1. M=7+2=9
M<0 so m= -9
2. N=6+3=9
N<0 so n=-9
3. Mn= (-9)(-9)= 81
7- In quadrilateral PQRS above , what is the
value of 𝑎2 + 𝑏 2 ? (geometry )
(A) 8
(B) 10
(C) 11
(D) 12
(E) 13
1. Line QS is the
hypotenuse of triangles
QPS and QRS .
2. If the hypotenuse of
QRS is 32+22=13, then
the hypotenuse of QPS
is a2+b2=13.
8- If 𝓍 is positive and
√𝓍
√5
=
√5
√𝓍
, then 𝓍 =
?(Algebra)
(A) 0
(B) 1
(C) √5
(D) 5
(E) 25
1.
√5
√5
=
√5
√5
2. 1 = 1
1
(A) 𝛾 = − 2 𝓍
(B) 𝛾
(C) 𝛾
(D) 𝛾
(E) 𝛾
=
=
=
=
2
12- What is the value of (-3)3+(-4)2?
(Arithmetic)
(A) -25
(B) -11
(C) 0
(D) 7
(E) 11
9- In the figure above, if the area of triangle CAF
is equal to the area of rectangle CDFE, what is
the length of segment AD?(geometry)
7
1. 0.5(b)(h)=LW
(A) 2
2. 0.5(15)(h)=7x
(B) 5
15
(C) 7
3.
0.5(h)=7
15
(D) 2
4. h=7/0.5=14
5. AD=14-7=7
(E) 15
10- If the average (arithmetic mean) of r and s is
20, and the average of x, y, and z is 30, what is
the average of r, s, x, y, and z? (Statistics)
(A) 23
(B) 24
(C) 25
(D) 26
(E) 27
1
−2𝓍 + 1
−𝓍
−𝜘 + 2
−2𝜘
1- The perpendicular lines have
negative reciprocal slops.
2−0
2- Line l have a slope of
=2
1−0
3- Line m will have the negative
1
reciprocal of 2 which is − .
2
4- Equation of straight line is
y=mx+b.
1
5- Line m equation is 𝑦 = − 𝑥 + 𝑏
2
6- Since it passes (0,0) then b=0,so
1
𝑦=− 𝑥
1-
𝑟+𝑠
= 20, so
r+s=40
𝑥+𝑦+𝑧
2= 30, so
3
x+y+x=90
3- 𝑟 + 𝑠 + 𝑥 + 𝑦 +
𝑧 = 130
130
4- 5 = 26
2
11-In the xy-coordinate plane above, line l pass
through the points (0,0) and (1,2), imagine that
a line called m contains the point (0,0) and
perpendicular to l, what is the equation of m?
(Geometry)
Put it as it is in
the calculator
13- A jar contains four blue marbles and two
green marbles. Two marbles are removed
randomly. What is the probability that two
marbles with the same color will be selected?
(probability)
1
1- 1-the probability if the two
(A) 9
4
3
marbles were blue then :-6 × 5 =
2
(B) 9
2
1
(C) 3
5
2- the probability if the two marbles
2
1
1
(D) 15
were green:-6 × 5 = 15
7
(E) 9
3- the probability of blue marbles
+the probability of green
2
1
7
marbles= 5 + 15 = 15
14- A bag contains only red , blue, and green
tickets. The probability of picking a red ticket is
0.25 and the probability of picking a blue ticket
is 0.40. What is the least number of tickets that
could be in the bag?( probability)
7
(A) 5 1- if we add the probability of red
(B) 10
and blue tickets then the answer
(C) 20
will be the probability of red and
(D) 30
blue tickets of the lest total
(E) 40
number of tickets .
1
2
13
2- 4 + 5 = 20, the probability of red
and blue tickets in the bag is13 of
20 , which mean that the total
number of tickets could be 20.
15- A= {-5,-3,-2,0,1}
B= {-1, 2,4,6}
If a is a number randomly selected from set A,
and b is a number randomly selected from set B,
what is the probability that ab<0?( probability)
1
1-
5
2-
(A) 2
(B) 8
11
(C) 20 347
(D) 10
4
(E) 5
56-
if a negative number multiplied by a positive number
the answer will be negative number.
We have 3 –ve numbers in set A if they multiplied with
3 +ve numbers of set B we will get 9 –ve numbers.
The 0 is a restriction .
The 1 in set A is positive kit will only be a –ve number
if it multiplied by -1 from set B.
So we have 10 numbers less than 0 from 20 number.
10
1
=
20
2
17- The bar graph above shows the number of
employees at company X for each of the years
from 1996 through 2000. Over which of the
following periods was the average rate of
increase in the number of employees at
company X greatest?(Analysis)
(A) from 1996 to 1998
(B) from 1996 to 1999
(C) from 1997 to 1999
(D) from 1998 to 1999
(E) from 1998 to 2000
You can notice that
there was a wild
increase from 1998
to 1999.
18- which of the following expressions
describes the indicated values on the number
line above? (X doesn’t equal to 0)(Algebra)
16-What is the median number of cups of
lemonade sold per hour ?(statistics)
(A) 10
(B) 8
(C) 12
(D) 15
(E) 20
1. arrange the numbers of cups
sold.
2. 10, 15,20,20,27
3. 20 is the number in the
meddle.
(A) 𝑋 ≥ 1
(B) 𝑋 ≤ 1
(C) 𝑋 ≥ |1|
(D) |𝑋| ≥ 1
(E) |𝑋| ≤ 1
1234-
The number line shows positive and negative
values.
The values of x must be greater than or equal
to 1, or less than or equal to -1.
If you look at the choices, they show only
expressions of 1.
Numbers those are greater than 1 are
positive so we must take the absolute value of
x.
19- If X=4, then (x4-2)(5+x)=(Algebra)
(A) 16
(B) 64
Direct substitution .
(C) 86
(D) 144
(E) 112
20- In the triangle above , if the measure of
angle B is 52 degrees, then what is the value of
y?(Geometry)
(A) 20
1- 2x+2=52
(B) 22
2- 2x=54
(C) 24
3- X= 27
(D) 28
4- Angle A= 4(27)= 108
(E) 30
5- A0+B0+Y0= 180
6- 180-(108+52)
7- 180-160=20