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GRE Math: All In One

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. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2 & 3/7
37.5%

2. factored binomial product of (x-y)²
48
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x²-2xy+y²
130pi

3. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(a + b)^2
All numbers multiples of 1.
An expression with just one term (-6x - 2a^2)

4. Can you subtract 3sqrt4 from sqrt4?
x^(2(4)) =x^8 = (x^4)^2
Yes - like radicals can be added/subtracted.
1
Indeterminable.

5. (a^-1)/a^5
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Even
A=½bh
1/a^6

6. The sum of all angles around a point
180 degrees
Diameter(Pi)
360°
2

7. 25/2³
2²
A+c<b+c
The union of A and B.
1/2 times 7/3

8. Which is greater? 200x^295 or 10x^294?
P=2(l+w)
13pi / 2
Relationship cannot be determined (what if x is negative?)
1

9. Which is greater? 27^(-4) or 9^(-8)
55%
(x+y)(x-y)
13pi / 2
27^(-4)

10. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Do not have slopes!
11 - 13 - 17 - 19
$11 -448
4:5

11. 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?
(a - b)(a + b)
52
A 30-60-90 triangle.
A grouping of the members within a set based on a shared characteristic.

12. 3 is the opposite of
Undefined - because we can'T divide by 0.
(a - b)^2
3
Arc length = (n/360) x pi(2r) where n is the number of degrees.

13. Write 10 -843 X 10^7 in scientific notation
71 - 73 - 79
72
1.0843 X 10^11
M= (Y1-Y2)/(X1-X2)

14. a(b+c)
An angle which is supplementary to an interior angle.
Negative
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
Ab+ac

15. What is a set with no members called?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The empty set - denoted by a circle with a diagonal through it.
10
A=pi*(r^2)

16. What are complementary angles?
0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Two angles whose sum is 90.
Two (Ø×2=Ø)

17. Area of a triangle
37.5%
Sector area = (n/360) X (pi)r^2
The union of A and B.
A= (1/2) b*h

18. Can you simplify sqrt72?
72
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Be Zero!
4725

19. 2³×7³
3 - -3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(2x7)³
Two (Ø×2=Ø)

20. the slope of a line in y=mx+b
M
0
180
Diameter(Pi)

21. Factor a^2 + 2ab + b^2
41 - 43 - 47
10! / 3!(10-3)! = 120
C = 2(pi)r
(a + b)^2

22. factored binomial product of (x+y)²
(a - b)^2
F(x + c)
90pi
x²+2xy+y²

23. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
F(x) + c
Ab-ac
x²+2xy+y²

24. formula for distance problems
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)
Distance=rate×time or d=rt
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The set of elements found in both A and B.

25. Formula to find a circle'S circumference from its diameter?
A set with no members - denoted by a circle with a diagonal through it.
C = (pi)d
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(pi)r²

26. -3³
An expression with just one term (-6x - 2a^2)
D=rt so r= d/t and t=d/r
27
62.5%

27. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
1/2 times 7/3
True
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2^9 / 2 = 256

28. Time
A= (1/2) b*h
(distance)/(rate) d/r
3 - 4 - 5
F(x) + c

29. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
A set with a number of elements which can be counted.
72
(p + q)/5

30. In a Regular Polygon - the measure of each exterior angle
1/x
360/n
180
4.25 - 6 - 22

31. If a lamp decreases to $80 - from $100 - what is the decrease in price?
1:sqrt3:2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
2
An is positive

32. To multiply a number by 10^x
Move the decimal point to the right x places
P(E) = 1/1 = 1
360°
90°

33. Formula to find a circle'S circumference from its radius?
3 - 4 - 5
A chord is a line segment joining two points on a circle.
C = 2(pi)r
Ab+ac

34. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
angle that is greater than 90° but less than 180°
Ø
The objects within a set.

35. Circumference of a circle?
(amount of decrease/original price) x 100%
Diameter(Pi)
Ø Ø=Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

36. 5x^2 - 35x -55 = 0
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
180°
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
70

37. 5/8 in percent?
(n-2) x 180
62.5%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

38. What is a minor arc?

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39. What is an isoceles triangle?
12sqrt2
180
A-b is positive
Two equal sides and two equal angles.

40. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Negative
2 & 3/7
12sqrt2
The set of elements which can be found in either A or B.

41. The negative exponent x?n is equivalent to what?
288 (8 9 4)
2(pi)r
zero
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

42. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Its last two digits are divisible by 4.
4.25 - 6 - 22
288 (8 9 4)
10

43. The product of any number x and its reciprocal
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1
Sum of digits is a multiple of 3 and the last digit is even.
P=2(l+w)

44. If a product of two numbers is Ø - one number must be
The shortest arc between points A and B on a circle'S diameter.
A-b is negative
Ø
(base*height) / 2

45. What are congruent triangles?
Triangles with same measure and same side lengths.
x(x - y + 1)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Positive

46. Consecutive integers
x - x+1 - x+2
Right
4725
An expression with just one term (-6x - 2a^2)

47. The reciprocal of any non-zero #x is
Ø
4a^2(b)
Relationship cannot be determined (what if x is negative?)
1/x

48. Ø Is
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
EVEN
288 (8 9 4)
Positive

49. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The objects within a set.
4725
P(E) = 1/1 = 1
C=2 x pi x r OR pi x D

50. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
A<-b
D/t (distance)/(time)
Pi(diameter)