SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
GRE Math: All In One
Start Test
Study First
Subjects
:
gre
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. x^6 / x^3
2
C = 2(pi)r
x^(6-3) = x^3
Its last two digits are divisible by 4.
2. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Its divisible by 2 and by 3.
N! / (k!)(n-k)!
Indeterminable.
3. What is the order of operations?
A reflection about the origin.
The set of elements which can be found in either A or B.
Lies opposite the greater angle
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4. How many multiples does a given number have?
Infinite.
Positive or Negative
13
A reflection about the origin.
5. What is the set of elements which can be found in either A or B?
3/2 - 5/3
A multiple of every integer
The union of A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
6. Perimeter of a rectangle
P= 2L + 2w
Even
The set of output values for a function.
3x - 4x - 5x
7. Evaluate 4/11 + 11/12
41 - 43 - 47
1:1:sqrt2
A 30-60-90 triangle.
1 & 37/132
8. Area of a circle
360°
A=pi*(r^2)
an angle that is less than 90°
Positive
9. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
A percent is a fraction whose denominator is 100.
28. n = 8 - k = 2. n! / k!(n-k)!
37.5%
1
10. A number is divisible by 4 is...
True
Its last two digits are divisible by 4.
Indeterminable.
Two (Ø×2=Ø)
11. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
7 / 1000
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
V=l×w×h
12. Circumference of a Circle
Ø=P(E)=1
Ab-ac
C=2 x pi x r OR pi x D
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
13. a<b then a - b is positive or negative?
zero
41 - 43 - 47
True
A-b is negative
14. The percent decrease of a quantity
Positive
1 & 37/132
12.5%
= (actual decrease/Original amount) x 100%
15. What is a set with no members called?
(n-2) x 180
12! / 5!7! = 792
The empty set - denoted by a circle with a diagonal through it.
P(E) = 1/1 = 1
16. Whats the difference between factors and multiples?
Undefined
(pi)r²
Factors are few - multiples are many.
Cd
17. (x+y)²
4a^2(b)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P=2(l+w)
x²+2xy+y²
18. Important properties of a 30-60-90 triangle?
A-b is positive
(a + b)^2
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
Ø
19. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
1 - P(E)
9 : 25
48
F(x-c)
20. Acute Angle
Can be negative - zero - or positive
360°
Its divisible by 2 and by 3.
an angle that is less than 90°
21. Reduce: 4.8 : 0.8 : 1.6
4:5
0
6 : 1 : 2
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
22. Slope given 2 points
The set of input values for a function.
x - x(SR3) - 2x
M= (Y1-Y2)/(X1-X2)
(length)(width)(height)
23. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
(rate)(time) d=rt
18
180
A 30-60-90 triangle.
24. What is the graph of f(x) shifted upward c units or spaces?
B?b?b (where b is used as a factor n times)
F(x) + c
y2-y1/x2-x1
x^(2(4)) =x^8 = (x^4)^2
25. (6sqrt3) x (2sqrt5) =
6
27^(-4)
True
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
26. 20<all primes<30
The shortest arc between points A and B on a circle'S diameter.
Two equal sides and two equal angles.
Positive
23 - 29
27. Evaluate 3& 2/7 / 1/3
A reflection about the axis.
An arc is a portion of a circumference of a circle.
Ø
9 & 6/7
28. How do you solve proportions? a/b=c/d
N! / (n-k)!
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
55%
A = pi(r^2)
29. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
A set with a number of elements which can be counted.
An is positive
F(x) - c
30. Probability of Event all cases
0
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Ø=P(E)=1
31. factored binomial product of (x-y)²
x²-2xy+y²
A set with no members - denoted by a circle with a diagonal through it.
53 - 59
1 & 37/132
32. How to recognize a # as a multiple of 9
288 (8 9 4)
3 - 4 - 5
Pi is the ratio of a circle'S circumference to its diameter.
The sum of the digits is a multiple of 9.
33. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Its last two digits are divisible by 4.
An arc is a portion of a circumference of a circle.
All numbers multiples of 1.
34. What percent of 40 is 22?
3x - 4x - 5x
55%
P=2(l+w)
The sum of its digits is divisible by 3.
35. 4.809 X 10^7 =
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
180
.0004809 X 10^11
6
36. What is the set of elements found in both A and B?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The interesection of A and B.
F(x + c)
1:sqrt3:2
37. Write 10 -843 X 10^7 in scientific notation
31 - 37
M
1.0843 X 10^11
87.5%
38. a^2 + 2ab + b^2
Reciprocal
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a + b)^2
F(x) + c
39. What is a percent?
(a - b)(a + b)
A percent is a fraction whose denominator is 100.
Ø=P(E)=1
1
40. Simplify 9^(1/2) X 4^3 X 2^(-6)?
180°
Edge³
180
3
41. Area of a Parallelogram:
A=(base)(height)
Its divisible by 2 and by 3.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
10
42. Dividing by a number is the same as multiplying it by its
y = (x + 5)/2
Ø=P(E)=1
1
Reciprocal
43. Legs: 3 - 4. Hypotenuse?
87.5%
5
27
1
44. Area of a rectangle
A = length x width
True
V=side³
180 degrees
45. If an inequality is multiplied or divided by a negative number....
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x²+2xy+y²
The direction of the inequality is reversed.
x^(2(4)) =x^8 = (x^4)^2
46. Volume of a rectangular box
Reciprocal
V=Lwh
Ab=k (k is a constant)
2²
47. In a Regular Polygon - the measure of each exterior angle
1
(b + c)
360/n
Ø
48. 30 60 90
180
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
70
x - x(SR3) - 2x
49. What is the side length of an equilateral triangle with altitude 6?
The shortest arc between points A and B on a circle'S diameter.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
Undefined - because we can'T divide by 0.
angle that is greater than 90° but less than 180°
50. When dividing exponential #s with the same base - you do this to the exponents...
(base*height) / 2
V=side³
Subtract them. i.e (5^7)/(5^3)= 5^4
ODD number