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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. (x^2)^4
Two (Ø×2=Ø)
7 / 1000
x^(2(4)) =x^8 = (x^4)^2
Sum of digits is a multiple of 3 and the last digit is even.

2. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
x²+2xy+y²
62.5%
The two xes after factoring.

3. What is the empty set?
A central angle is an angle formed by 2 radii.
Sector area = (n/360) X (pi)r^2
A set with no members - denoted by a circle with a diagonal through it.
A= (1/2) b*h

4. Ø divided by 7
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.)
Reciprocal
12.5%
Ø

5. When dividing exponential #s with the same base - you do this to the exponents...
P=2(l+w)
Subtract them. i.e (5^7)/(5^3)= 5^4
6
Null

6. The sum of the angles in a quadrilateral is
P(E) = number of favorable outcomes/total number of possible outcomes
31 - 37
A central angle is an angle formed by 2 radii.
360°

7. The Denominator can never
Ab-ac
(2x7)³
A = pi(r^2)
Be Zero!

8. The sum of the measures of the n angles in a polygon with n sides
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...
(n-2) x 180
x²-y²
The greatest value minus the smallest.

9. How many sides does a hexagon have?
Distance=rate×time or d=rt
An infinite set.
6
Infinite.

10. The larger the absolute value of the slope...
A central angle is an angle formed by 2 radii.
The direction of the inequality is reversed.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The steeper the slope.

11. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
An expression with just one term (-6x - 2a^2)
A reflection about the origin.
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)

12. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
9 : 25
an angle that is less than 90°
A-b is positive

13. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
= (actual decrease/Original amount) x 100%
55%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1

14. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Move the decimal point to the right x places
75:11
(x+y)(x+y)
288 (8 9 4)

15. To decrease a number by x%
1 - P(E)
M= (Y1-Y2)/(X1-X2)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
360°

16. In any polygon - all external angles equal up to
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
F(x + c)
360°
70

17. Circumference of a circle?
True
An isosceles right triangle.
Diameter(Pi)
441000 = 1 10 10 10 21 * 21

18. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
The direction of the inequality is reversed.
(a - b)(a + b)
0
6

19. To multiply a number by 10^x
No - only like radicals can be added.
Move the decimal point to the right x places
90
90pi

20. If a lamp increases from $80 to $100 - what is the percent increase?
(a - b)(a + b)
55%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

21. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x) + c
zero
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

22. How many 3-digit positive integers are even and do not contain the digit 4?
A-b is positive
(a - b)(a + b)
True
288 (8 9 4)

23. What is the 'Solution' for a set of inequalities.
360°
The overlapping sections.
2 & 3/7
Negative

24. Consecutive integers
A=(base)(height)
The two xes after factoring.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x - x+1 - x+2

25. Define a 'monomial'
Ab-ac
V=Lwh
An expression with just one term (-6x - 2a^2)
Add them. i.e. (5^7) * (5^3) = 5^10

26. A number is divisible by 3 if ...
2^9 / 2 = 256
71 - 73 - 79
2.592 kg
The sum of its digits is divisible by 3.

27. Probability of E not occurring:
M
1 - P(E)
Indeterminable.
P(E) = 1/1 = 1

28. 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?
1/x
Two equal sides and two equal angles.
All numbers multiples of 1.
2.592 kg

29. Number of degrees in a triangle
180
8
Its divisible by 2 and by 3.
A+c<b+c

30. If an inequality is multiplied or divided by a negative number....
28. n = 8 - k = 2. n! / k!(n-k)!
y = 2x^2 - 3
A subset.
The direction of the inequality is reversed.

31. a^0 =
1
41 - 43 - 47
360°
$3 -500 in the 9% and $2 -500 in the 7%.

32. What is the set of elements found in both A and B?
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)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
55%
The interesection of A and B.

33. What is a finite set?
(p + q)/5
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A set with a number of elements which can be counted.
The interesection of A and B.

34. The Perimeter of a rectangle
D/t (distance)/(time)
Can be negative - zero - or positive
Indeterminable.
P=2(l+w)

35. When does a function automatically have a restricted domain (2)?
The set of elements which can be found in either A or B.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
83.333%
Two angles whose sum is 180.

36. Which is greater? 200x^295 or 10x^294?
48
2.592 kg
Relationship cannot be determined (what if x is negative?)
(a - b)^2

37. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
360/n
0
10! / 3!(10-3)! = 120

38. the measure of a straight angle
The two xes after factoring.
The greatest value minus the smallest.
The shortest arc between points A and B on a circle'S diameter.
180°

39. What is an isoceles triangle?
Two equal sides and two equal angles.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
360°
13

40. Legs 5 - 12. Hypotenuse?
41 - 43 - 47
Move the decimal point to the right x places
Parallelogram
13

41. 5/8 in percent?
P=4s (s=side)
Pi is the ratio of a circle'S circumference to its diameter.
(pi)r²
62.5%

42. How many multiples does a given number have?
1/a^6
7 / 1000
1
Infinite.

43. Can you add sqrt 3 and sqrt 5?
A reflection about the origin.
71 - 73 - 79
Positive or Negative
No - only like radicals can be added.

44. Any Horizontal line slope
The steeper the slope.
zero
4096
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

45. What is the order of operations?
Lies opposite the greater angle
1/x
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4725

46. If a product of two numbers is Ø - one number must be
(a + b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x^(6-3) = x^3
Ø

47. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A multiple of every integer
7 / 1000
A reflection about the origin.
Null

48. 7/8 in percent?
Two angles whose sum is 180.
y/x is a constant
The longest arc between points A and B on a circle'S diameter.
87.5%

49. If Event is impossible
1 & 37/132
P=4s (s=side)
A grouping of the members within a set based on a shared characteristic.
P(E) = ø

50. Ø is
Even
Lies opposite the greater angle
The interesection of A and B.
The union of A and B.