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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. The Denominator can never
Be Zero!
180°
y = 2x^2 - 3
A reflection about the origin.

2. 0^0
A central angle is an angle formed by 2 radii.
27^(-4)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Undefined

3. a^2 - b^2 =
1
1 & 37/132
28
(a - b)(a + b)

4. a^2 - 2ab + b^2
F(x + c)
(a - b)^2
A tangent is a line that only touches one point on the circumference of a circle.
Indeterminable.

5. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
Ab=k (k is a constant)
Can be negative - zero - or positive
3/2 - 5/3

6. What is the maximum value for the function g(x) = (-2x^2) -1?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
360/n
(n-2) x 180

7. What is the graph of f(x) shifted upward c units or spaces?
(n-2) x 180
1.0843 X 10^11
F(x) + c
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

8. -3³
F(x) - c
27
1
3/2 - 5/3

9. Consecutive integers
Ab=k (k is a constant)
(a - b)^2
x - x+1 - x+2
Two (Ø×2=Ø)

10. To increase a number by x%
2
zero
The two xes after factoring.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

11. How to find the circumference of a circle which circumscribes a square?
F(x-c)
Parallelogram
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An expression with just one term (-6x - 2a^2)

12. Which is greater? 64^5 or 16^8
The sum of its digits is divisible by 3.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1.7

13. 30 60 90
3 - 4 - 5
All numbers multiples of 1.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

14. 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
3
1:1:sqrt2
288 (8 9 4)

15. Ø is a multiple of
23 - 29
Every number
1 & 37/132
13

16. factored binomial product of (x-y)²
13pi / 2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1.0843 X 10^11
x²-2xy+y²

17. 30 60 90
V=l×w×h
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)
5 - 12 - 13
(b + c)

18. If a is inversely porportional to b - what does it equal?
1/a^6
90°
Ab=k (k is a constant)
A chord is a line segment joining two points on a circle.

19. First 10 prime #s
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
180 degrees
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(length)(width)(height)

20. 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?
500
180°
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A tangent is a line that only touches one point on the circumference of a circle.

21. 5x^2 - 35x -55 = 0
6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
180
Two equal sides and two equal angles.

22. 70 < all primes< 80
71 - 73 - 79
x^(6-3) = x^3
Right
130pi

23. Simplify the expression (p^2 - q^2)/ -5(q - p)
90
(p + q)/5
2(pi)r
70

24. What is the surface area of a cylinder with radius 5 and height 8?
Ø
130pi
Do not have slopes!
11 - 13 - 17 - 19

25. If an inequality is multiplied or divided by a negative number....
4a^2(b)
61 - 67
The direction of the inequality is reversed.
23 - 29

26. Area of a circle
(pi)r²
87.5%
2^9 / 2 = 256
A<-b

27. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
1 - P(E)
x²-2xy+y²
4:5

28. What are 'Supplementary angles?'
12! / 5!7! = 792
13pi / 2
Two angles whose sum is 180.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

29. 5/6 in percent?
41 - 43 - 47
70
1/2 times 7/3
83.333%

30. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
500
1
180

31. 4.809 X 10^7 =
.0004809 X 10^11
(pi)r²
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)
2.592 kg

32. What is the graph of f(x) shifted left c units or spaces?
4.25 - 6 - 22
(rate)(time) d=rt
F(x + c)
72

33. What is the name of set with a number of elements which cannot be counted?
An infinite set.
x²-2xy+y²
11 - 13 - 17 - 19
360°

34. 7/8 in percent?
87.5%
NOT A PRIME
(x+y)(x+y)
5

35. What is the 'Range' of a series of numbers?
D/t (distance)/(time)
The greatest value minus the smallest.
The sum of digits is divisible by 9.
6

36. Find the surface area of a cylinder with radius 3 and height 12.
90pi
4725
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The sum of the digits is a multiple of 9.

37. Distance
(rate)(time) d=rt
1 - P(E)
Pi is the ratio of a circle'S circumference to its diameter.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

38. factored binomial product of (x+y)²
x²+2xy+y²
Ø
An infinite set.
B?b?b (where b is used as a factor n times)

39. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
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
1/x
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)

40. The larger the absolute value of the slope...
The steeper the slope.
An infinite set.
Ø
7 / 1000

41. Time
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(distance)/(rate) d/r
The set of elements which can be found in either A or B.
Smallest positive integer

42. What are the irrational numbers?

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43. If a is negative and n is even then an is (positive or negative?)
An is positive
A central angle is an angle formed by 2 radii.
Pi is the ratio of a circle'S circumference to its diameter.
A tangent is a line that only touches one point on the circumference of a circle.

44. Volume of a rectangular box
F(x) - c
V=Lwh
Relationship cannot be determined (what if x is negative?)
Ø

45. One is (a prime or not?)
Sector area = (n/360) X (pi)r^2
(pi)r²
The sum of its digits is divisible by 3.
NOT A PRIME

46. a<b then a - b is positive or negative?
M
A-b is negative
N! / (k!)(n-k)!
The shortest arc between points A and B on a circle'S diameter.

47. If E is certain
P(E) = 1/1 = 1
72
Every number
A= (1/2) b*h

48. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
180 degrees
5 OR -5
X
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

49. Formula to find a circle'S circumference from its radius?
4.25 - 6 - 22
C = 2(pi)r
1.0843 X 10^11
72

50. 40 < all primes<50
41 - 43 - 47
3 - 4 - 5
The second graph is less steep.
A²+b²=c²