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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. In a rectangle - all angles are
A+c<b+c
67 - 71 - 73
Right
The empty set - denoted by a circle with a diagonal through it.

2. Vertical lines
Do not have slopes!
10! / (10-3)! = 720
C=2 x pi x r OR pi x D
Members or elements

3. Describe the relationship between the graphs of x^2 and (1/2)x^2
28
1
The second graph is less steep.
1:sqrt3:2

4. Which is greater? 200x^295 or 10x^294?
Ø
ODD number
Relationship cannot be determined (what if x is negative?)
1 & 37/132

5. 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)
P(E) = number of favorable outcomes/total number of possible outcomes
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4.25 - 6 - 22
y/x is a constant

6. Circumference of a circle?
NOT A PRIME
3
Diameter(Pi)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

7. If E is certain
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P(E) = 1/1 = 1
F(x-c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

8. Slope given 2 points
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)
4725
360°
M= (Y1-Y2)/(X1-X2)

9. The consecutive angles in a parallelogram equal
V=Lwh
Ø
The sum of its digits is divisible by 3.
180°

10. What is a chord of a circle?
360°
A chord is a line segment joining two points on a circle.
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)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

11. 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?
V=Lwh
441000 = 1 10 10 10 21 * 21
x²+2xy+y²
(rate)(time) d=rt

12. 1/2 divided by 3/7 is the same as
The direction of the inequality is reversed.
9
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)
1/2 times 7/3

13. Ø divided by 7
Ø
Sector area = (n/360) X (pi)r^2
an angle that is less than 90°
13

14. Reduce: 4.8 : 0.8 : 1.6
1
6 : 1 : 2
Reciprocal
180°

15. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(a - b)(a + b)
(p + q)/5
A multiple of every integer

16. binomial product of (x-y)²
(x+y)(x-y)
angle that is greater than 90° but less than 180°
360°
F(x-c)

17. 3 is the opposite of
x(x - y + 1)
(a + b)^2
3
3 - 4 - 5

18. What is the 'Solution' for a set of inequalities.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The overlapping sections.
The union of A and B.
Undefined

19. 1 is an
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
ODD number
4725
Ab-ac

20. What is the 'Range' of a series of numbers?
5 OR -5
... the square of the ratios of the corresponding sides.
The greatest value minus the smallest.
Add them. i.e. (5^7) * (5^3) = 5^10

21. (6sqrt3) x (2sqrt5) =
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)
(n-2) x 180
7 / 1000
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

22. formula for distance problems
x^(4+7) = x^11
Distance=rate×time or d=rt
x^(6-3) = x^3
1 & 37/132

23. Positive integers that have exactly 2 positive divisors are
A multiple of every integer
x²-y²
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Ø

24. 2³×7³
180 degrees
360°
The two xes after factoring.
(2x7)³

25. x^6 / x^3
x^(6-3) = x^3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
D/t (distance)/(time)
71 - 73 - 79

26. An Angle that'S 180°
(x+y)(x-y)
Straight Angle
Edge³
1 - P(E)

27. What are congruent triangles?
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
The set of output values for a function.
67 - 71 - 73
Triangles with same measure and same side lengths.

28. 30 60 90
8
Its divisible by 2 and by 3.
3x - 4x - 5x
P(E) = 1/1 = 1

29. What number between 70 & 75 - inclusive - has the greatest number of factors?
The set of elements which can be found in either A or B.
20.5
P= 2L + 2w
72

30. The product of any number x and its reciprocal
A=½bh
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1
A multiple of every integer

31. (a^-1)/a^5
1/a^6
N! / (k!)(n-k)!
x^(2(4)) =x^8 = (x^4)^2
6 : 1 : 2

32. How to determine percent decrease?
360°
12sqrt2
4725
(amount of decrease/original price) x 100%

33. How many sides does a hexagon have?
67 - 71 - 73
11 - 13 - 17 - 19
6
An isosceles right triangle.

34. -3²
9
180
Can be negative - zero - or positive
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)

35. 1/6 in percent?
A²+b²=c²
18
Every number
16.6666%

36. 1/Ø=null If a>b then
C = 2(pi)r
(amount of decrease/original price) x 100%
(base*height) / 2
A<-b

37. If a is inversely porportional to b - what does it equal?
F(x + c)
11 - 13 - 17 - 19
A set with no members - denoted by a circle with a diagonal through it.
Ab=k (k is a constant)

38. P and r are factors of 100. What is greater - pr or 100?
(a - b)(a + b)
Indeterminable.
The sum of the digits is a multiple of 9.
Reciprocal

39. A number is divisible by 9 if...
An angle which is supplementary to an interior angle.
12! / 5!7! = 792
180
The sum of digits is divisible by 9.

40. What is the maximum value for the function g(x) = (-2x^2) -1?
x - x(SR3) - 2x
... the square of the ratios of the corresponding sides.
11 - 13 - 17 - 19
1

41. If a is positive - an is
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Positive
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
1/2 times 7/3

42. X is the opposite of
(base*height) / 2
y = (x + 5)/2
X
1

43. Define a 'monomial'
A central angle is an angle formed by 2 radii.
X
2sqrt6
An expression with just one term (-6x - 2a^2)

44. What is the 'domain' of a function?
The set of input values for a function.
1:sqrt3:2
0
A=pi*(r^2)

45. Volume of a cube
Edge³
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
C=2 x pi x r OR pi x D
y = 2x^2 - 3

46. Area of a rectangle
A = length x width
72
Subtract them. i.e (5^7)/(5^3)= 5^4
(distance)/(rate) d/r

47. Can you add sqrt 3 and sqrt 5?
0
Ø=P(E)=1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
No - only like radicals can be added.

48. a^2 + 2ab + b^2
(a + b)^2
Ab-ac
A set with a number of elements which can be counted.
41 - 43 - 47

49. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Positive
1
500
6 : 1 : 2

50. Consecutive integers
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
angle that is greater than 90° but less than 180°
x - x+1 - x+2
288 (8 9 4)