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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. If a lamp decreases to $80 - from $100 - what is the decrease in price?
3 - -3
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
2sqrt6
.0004809 X 10^11
2. What are complementary angles?
P(E) = 1/1 = 1
180°
Two angles whose sum is 90.
12.5%
3. 30 60 90
1
1/a^6
x - x(SR3) - 2x
Negative
4. a^2 - b^2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
(a - b)(a + b)
13
5. x^6 / x^3
M= (Y1-Y2)/(X1-X2)
x^(6-3) = x^3
180
The greatest value minus the smallest.
6. x^4 + x^7 =
The steeper the slope.
x^(4+7) = x^11
31 - 37
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
7. 5/6 in percent?
B?b?b (where b is used as a factor n times)
2²
V=l×w×h
83.333%
8. What is the 'Solution' for a system of linear equations?
(amount of decrease/original price) x 100%
1
The point of intersection of the systems.
31 - 37
9. (x^2)^4
y = 2x^2 - 3
62.5%
Even
x^(2(4)) =x^8 = (x^4)^2
10. x^2 = 9. What is the value of x?
Its last two digits are divisible by 4.
3 - -3
1
(b + c)
11. The reciprocal of any non-zero number is
A tangent is a line that only touches one point on the circumference of a circle.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
70
1/x
12. Define an 'expression'.
180 degrees
90
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)
(distance)/(rate) d/r
13. 7/8 in percent?
5 OR -5
75:11
87.5%
360/n
14. 20<all primes<30
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
23 - 29
(distance)/(rate) d/r
Every number
15. What is the name for a grouping of the members within a set based on a shared characteristic?
y2-y1/x2-x1
A subset.
83.333%
A chord is a line segment joining two points on a circle.
16. What is the graph of f(x) shifted right c units or spaces?
A²+b²=c²
F(x-c)
2.592 kg
An infinite set.
17. Ø is
The interesection of A and B.
A multiple of every integer
The steeper the slope.
3
18. (x-y)(x+y)
P=2(l+w)
The two xes after factoring.
x²-y²
4a^2(b)
19. Legs 6 - 8. Hypotenuse?
Relationship cannot be determined (what if x is negative?)
A=½bh
10
360/n
20. Ø is a multiple of
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Two (Ø×2=Ø)
y = (x + 5)/2
No - only like radicals can be added.
21. 8.84 / 5.2
All numbers multiples of 1.
C=2 x pi x r OR pi x D
1.7
18
22. How many multiples does a given number have?
180
130pi
Ø
Infinite.
23. 1n
No - only like radicals can be added.
(x+y)(x+y)
1
441000 = 1 10 10 10 21 * 21
24. 5/8 in percent?
62.5%
x^(2(4)) =x^8 = (x^4)^2
A set with no members - denoted by a circle with a diagonal through it.
(a - b)(a + b)
25. Ø is a multiple of
2 & 3/7
3 - 4 - 5
Right
Every number
26. What is a tangent?
The union of A and B.
A tangent is a line that only touches one point on the circumference of a circle.
The empty set - denoted by a circle with a diagonal through it.
2 & 3/7
27. 25^(1/2) or sqrt. 25 =
A multiple of every integer
5 OR -5
87.5%
Ø
28. 2³×7³
ODD number
7 / 1000
(2x7)³
M= (Y1-Y2)/(X1-X2)
29. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
48
Can be negative - zero - or positive
30. Area of a rectangle
180
13
10! / 3!(10-3)! = 120
A = length x width
31. What is the 'Range' of a series of numbers?
P=4s (s=side)
x^(2(4)) =x^8 = (x^4)^2
The greatest value minus the smallest.
The set of elements found in both A and B.
32. Any Horizontal line slope
Positive or Negative
A 30-60-90 triangle.
1.0843 X 10^11
zero
33. What are 'Supplementary angles?'
Two angles whose sum is 180.
A²+b²=c²
(n-2) x 180
Positive
34. X is the opposite of
Diameter(Pi)
Pi(diameter)
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
X
35. Circumference of a circle
1
Pi(diameter)
4:5
x - x+1 - x+2
36. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
An isosceles right triangle.
441000 = 1 10 10 10 21 * 21
A=½bh
37. Define a 'monomial'
87.5%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An expression with just one term (-6x - 2a^2)
Distance=rate×time or d=rt
38. Simplify (a^2 + b)^2 - (a^2 - b)^2
1
288 (8 9 4)
180
4a^2(b)
39. What is the graph of f(x) shifted left c units or spaces?
1
F(x + c)
All numbers multiples of 1.
A=(base)(height)
40. Probability of Event all cases
A central angle is an angle formed by 2 radii.
Move the decimal point to the right x places
Ø=P(E)=1
An arc is a portion of a circumference of a circle.
41. The Denominator can never
No - only like radicals can be added.
A tangent is a line that only touches one point on the circumference of a circle.
Be Zero!
55%
42. 60 < all primes <70
10! / 3!(10-3)! = 120
61 - 67
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Positive
43. 3/8 in percent?
The longest arc between points A and B on a circle'S diameter.
F(x) + c
x²-2xy+y²
37.5%
44. Find the surface area of a cylinder with radius 3 and height 12.
An infinite set.
3x - 4x - 5x
D/t (distance)/(time)
90pi
45. 1/8 in percent?
Every number
The point of intersection of the systems.
(p + q)/5
12.5%
46. Factor a^2 + 2ab + b^2
(a + b)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Be Zero!
Negative
47. What is a subset?
130pi
A grouping of the members within a set based on a shared characteristic.
The longest arc between points A and B on a circle'S diameter.
Even
48. 10^6 has how many zeroes?
11 - 13 - 17 - 19
A chord is a line segment joining two points on a circle.
72
6
49. Ø Is neither
1:1:sqrt2
(base*height) / 2
The empty set - denoted by a circle with a diagonal through it.
Positive or Negative
50. Evaluate 4/11 + 11/12
0
$3 -500 in the 9% and $2 -500 in the 7%.
12! / 5!7! = 792
1 & 37/132