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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. Acute Angle
13pi / 2
A subset.
N! / (k!)(n-k)!
an angle that is less than 90°
2. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
1
Sector area = (n/360) X (pi)r^2
3
3. What are 'Supplementary angles?'
All numbers multiples of 1.
The greatest value minus the smallest.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Two angles whose sum is 180.
4. The sum of all angles around a point
Ø
Reciprocal
360°
67 - 71 - 73
5. What is the 'Range' of a function?
3 - 4 - 5
The set of output values for a function.
EVEN
Even
6. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
.0004809 X 10^11
The second graph is less steep.
26
N! / (n-k)!
7. Describe the relationship between the graphs of x^2 and (1/2)x^2
Be Zero!
The sum of the digits is a multiple of 9.
The second graph is less steep.
A = length x width
8. What is the 'Solution' for a system of linear equations?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
P(E) = 1/1 = 1
The point of intersection of the systems.
9. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Negative
2 & 3/7
Every number
28. n = 8 - k = 2. n! / k!(n-k)!
10. Rate
0
(a + b)^2
D/t (distance)/(time)
A grouping of the members within a set based on a shared characteristic.
11. 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
x - x+1 - x+2
18
D/t (distance)/(time)
A=½bh
12. a<b then a - b is positive or negative?
Factors are few - multiples are many.
A-b is negative
180
x^(2(4)) =x^8 = (x^4)^2
13. Reduce: 4.8 : 0.8 : 1.6
(a - b)(a + b)
6 : 1 : 2
Ab+ac
12.5%
14. P and r are factors of 100. What is greater - pr or 100?
(length)(width)(height)
x - x+1 - x+2
Indeterminable.
(x+y)(x-y)
15. What is the order of operations?
(pi)r²
The direction of the inequality is reversed.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A multiple of every integer
16. formula for volume of a rectangular solid
V=l×w×h
Move the decimal point to the right x places
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
D/t (distance)/(time)
17. Area of a rectangle
90
A = length x width
A central angle is an angle formed by 2 radii.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
18. 30 60 90
Sector area = (n/360) X (pi)r^2
A = length x width
(a - b)(a + b)
3 - 4 - 5
19. Formula for the area of a circle?
A reflection about the origin.
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 = pi(r^2)
A set with no members - denoted by a circle with a diagonal through it.
20. factored binomial product of (x+y)²
83.333%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x²+2xy+y²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
21. 50 < all primes< 60
x - x+1 - x+2
Every number
Distance=rate×time or d=rt
53 - 59
22. How to recognize a # as a multiple of 3
37.5%
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)
1
Even prime number
23. a^2 - b^2
C=2 x pi x r OR pi x D
Positive
(a - b)(a + b)
1:1:sqrt2
24. The product of any number x and its reciprocal
1
ODD number
Two equal sides and two equal angles.
5 OR -5
25. Any Horizontal line slope
3 - 4 - 5
180
(pi)r²
zero
26. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
4096
C=2 x pi x r OR pi x D
y = (x + 5)/2
Move the decimal point to the right x places
27. In a Regular Polygon - the measure of each exterior angle
360/n
180°
All numbers multiples of 1.
Sector area = (n/360) X (pi)r^2
28. Dividing by a number is the same as multiplying it by its
The second graph is less steep.
2 & 3/7
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)
Reciprocal
29. 25^(1/2) or sqrt. 25 =
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
5 OR -5
x - x(SR3) - 2x
Ab=k (k is a constant)
30. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
27^(-4)
8
31. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
75:11
4.25 - 6 - 22
An expression with just one term (-6x - 2a^2)
32. Evaluate 4/11 + 11/12
A=(base)(height)
Lies opposite the greater angle
The greatest value minus the smallest.
1 & 37/132
33. -3³
Pi is the ratio of a circle'S circumference to its diameter.
(length)(width)(height)
27
Can be negative - zero - or positive
34. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
(n-2) x 180
The greatest value minus the smallest.
70
441000 = 1 10 10 10 21 * 21
35. Evaluate (4^3)^2
F(x-c)
4096
18
Straight Angle
36. Slope of any line that goes up from left to right
Positive
1
Straight Angle
1
37. For any number x
an angle that is less than 90°
Can be negative - zero - or positive
The greatest value minus the smallest.
y = 2x^2 - 3
38. What are the integers?
75:11
All numbers multiples of 1.
The set of elements which can be found in either A or B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
39. What is the ratio of the sides of a 30-60-90 triangle?
Ø Ø=Ø
1:sqrt3:2
Undefined - because we can'T divide by 0.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
40. What are the roots of the quadrinomial x^2 + 2x + 1?
A subset.
70
The two xes after factoring.
A set with a number of elements which can be counted.
41. 1 is a divisor of
Ab+ac
A multiple of every integer
Every number
The steeper the slope.
42. Probability of an Event
6
P(E) = number of favorable outcomes/total number of possible outcomes
An arc is a portion of a circumference of a circle.
A 30-60-90 triangle.
43. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
F(x + c)
y = 2x^2 - 3
Infinite.
20.5
44. What is a tangent?
A=pi*(r^2)
M= (Y1-Y2)/(X1-X2)
A tangent is a line that only touches one point on the circumference of a circle.
Negative
45. What are the real numbers?
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)
N! / (n-k)!
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
Ab-ac
46. To decrease a number by x%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4725
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The shortest arc between points A and B on a circle'S diameter.
47. Ø is
C = 2(pi)r
Even
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 angle that is less than 90°
48. Formula to find a circle'S circumference from its diameter?
Two equal sides and two equal angles.
C = (pi)d
Ø
(amount of decrease/original price) x 100%
49. 1/2 divided by 3/7 is the same as
Ø
28
1/2 times 7/3
x - x(SR3) - 2x
50. The only number that is equal to its opposite
70
Ø Ø=Ø
Even
The point of intersection of the systems.