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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. Area of a circle
Even prime number
A=pi*(r^2)
2.592 kg
Every number
2. Simplify (a^2 + b)^2 - (a^2 - b)^2
180°
(x+y)(x+y)
V=Lwh
4a^2(b)
3. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
x²-2xy+y²
Pi(diameter)
x^(2(4)) =x^8 = (x^4)^2
4. If y is directly proportional to x - what does it equal?
M= (Y1-Y2)/(X1-X2)
y/x is a constant
V=Lwh
72
5. What is the side length of an equilateral triangle with altitude 6?
Ø=P(E)=1
Undefined
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...
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
6. Area of a rectangle
Two angles whose sum is 90.
A chord is a line segment joining two points on a circle.
A = length x width
The sum of its digits is divisible by 3.
7. Rate
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
D/t (distance)/(time)
The interesection of A and B.
8. (x^2)^4
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)
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)
x^(2(4)) =x^8 = (x^4)^2
The set of input values for a function.
9. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
37.5%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P(E) = number of favorable outcomes/total number of possible outcomes
10. 1/2 divided by 3/7 is the same as
Diameter(Pi)
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.)
1/2 times 7/3
A reflection about the origin.
11. 1 is a divisor of
Every number
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...
A = pi(r^2)
27
12. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
D=rt so r= d/t and t=d/r
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
52
13. a^2 - 2ab + b^2
Move the decimal point to the right x places
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
(a - b)^2
Its divisible by 2 and by 3.
14. What is the graph of f(x) shifted downward c units or spaces?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The overlapping sections.
The union of A and B.
F(x) - c
15. 1/Ø=null If a>b then
500
A<-b
A grouping of the members within a set based on a shared characteristic.
27
16. Any Horizontal line slope
4.25 - 6 - 22
Infinite.
zero
A+c<b+c
17. x^6 / x^3
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
C = (pi)d
ODD number
x^(6-3) = x^3
18. 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?
180
x - x(SR3) - 2x
1/a^6
2.592 kg
19. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Move the decimal point to the right x places
The interesection of A and B.
20. If the two sides of a triangle are unequal then the longer side.................
5 - 12 - 13
Lies opposite the greater angle
1
A = length x width
21. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
angle that is greater than 90° but less than 180°
A+c<b+c
4096
1
22. Circumference of a circle?
Infinite.
Diameter(Pi)
Edge³
2sqrt6
23. Formula for the area of a circle?
10! / 3!(10-3)! = 120
41 - 43 - 47
y/x is a constant
A = pi(r^2)
24. What is a percent?
72
x²-y²
A percent is a fraction whose denominator is 100.
Ab+ac
25. 30 60 90
5 - 12 - 13
20.5
1
V=side³
26. Area of a Parallelogram:
5 - 12 - 13
(p + q)/5
(amount of decrease/original price) x 100%
A=(base)(height)
27. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
ODD number
A natural number greater than 1 that has no positive divisors other than 1 and itself
Null
28. What is a major arc?
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183
29. P and r are factors of 100. What is greater - pr or 100?
20.5
Indeterminable.
The empty set - denoted by a circle with a diagonal through it.
3 - 4 - 5
30. Define an 'expression'.
C = 2(pi)r
3 - -3
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)
An arc is a portion of a circumference of a circle.
31. Evaluate (4^3)^2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x^(4+7) = x^11
4096
83.333%
32. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Ab=k (k is a constant)
x^(2(4)) =x^8 = (x^4)^2
1
3
33. In any polygon - all external angles equal up to
F(x) + c
The union of A and B.
360°
A 30-60-90 triangle.
34. formula for the volume of a cube
A=(base)(height)
9 : 25
13
V=side³
35. Ø is
Cd
x²+2xy+y²
A subset.
A multiple of every integer
36. 3 is the opposite of
71 - 73 - 79
67 - 71 - 73
3
12.5%
37. 30 60 90
3 - 4 - 5
2(pi)r
The steeper the slope.
1.7
38. (12sqrt15) / (2sqrt5) =
1
9 : 25
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
10
39. Vertical lines
26
Two angles whose sum is 90.
Every number
Do not have slopes!
40. Legs 5 - 12. Hypotenuse?
Parallelogram
13
V=side³
Arc length = (n/360) x pi(2r) where n is the number of degrees.
41. When does a function automatically have a restricted domain (2)?
(a - b)^2
No - only like radicals can be added.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
10! / (10-3)! = 720
42. If a is negative and n is even then an is (positive or negative?)
70
An is positive
Be Zero!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
43. -3³
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...
1:1:sqrt2
27
x²+2xy+y²
44. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
12.5%
1.0843 X 10^11
2(pi)r
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
45. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Straight Angle
No - only like radicals can be added.
Cd
1
46. How many sides does a hexagon have?
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)
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)
2 & 3/7
6
47. What is the 'Solution' for a system of linear equations?
y2-y1/x2-x1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x - x+1 - x+2
The point of intersection of the systems.
48. The product of odd number of negative numbers
x²+2xy+y²
0
Negative
y/x is a constant
49. x^2 = 9. What is the value of x?
Distance=rate×time or d=rt
3 - -3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes - like radicals can be added/subtracted.
50. formula for area of a triangle
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
angle that is greater than 90° but less than 180°
A<-b
A=½bh