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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 are the real numbers?
10
2²
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)
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

2. What are the smallest three prime numbers greater than 65?
an angle that is less than 90°
1 & 37/132
5
67 - 71 - 73

3. Probability of Event all cases
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
31 - 37
x - x+1 - x+2
Ø=P(E)=1

4. A number is divisible by 4 is...
Lies opposite the greater angle
$11 -448
Its last two digits are divisible by 4.
83.333%

5. The reciprocal of any non-zero #x is
1/x
An angle which is supplementary to an interior angle.
5 OR -5
62.5%

6. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
A 30-60-90 triangle.
Undefined
y = (x + 5)/2
The union of A and B.

7. Reduce: 4.8 : 0.8 : 1.6
61 - 67
55%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
6 : 1 : 2

8. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Negative
1.7
6

9. factored binomial product of (x+y)²
x²+2xy+y²
Sum of digits is a multiple of 3 and the last digit is even.
D=rt so r= d/t and t=d/r
A=pi*(r^2)

10. 30 60 90
V=Lwh
20.5
x - x(SR3) - 2x
61 - 67

11. binomial product of (x+y)²
(pi)r²
6
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(x+y)(x+y)

12. Ø²
1:1:sqrt2
Ø
75:11
Triangles with same measure and same side lengths.

13. Area of a triangle
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.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A= (1/2) b*h

14. What are the members or elements of a set?
The objects within a set.
The greatest value minus the smallest.
A=(base)(height)
The empty set - denoted by a circle with a diagonal through it.

15. For any number x
67 - 71 - 73
Can be negative - zero - or positive
1/x
2sqrt6

16. 0^0
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)
Undefined
20.5
V=side³

17. What is a set with no members called?
2sqrt6
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
130pi
The empty set - denoted by a circle with a diagonal through it.

18. An Angle that'S 180°
23 - 29
2.592 kg
Two equal sides and two equal angles.
Straight Angle

19. Define an 'expression'.
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)
P(E) = number of favorable outcomes/total number of possible outcomes
Negative
10! / (10-3)! = 720

20. If a lamp increases from $80 to $100 - what is the percent increase?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A-b is positive
41 - 43 - 47

21. (x-y)²
A percent is a fraction whose denominator is 100.
x²-2xy+y²
2sqrt6
28. n = 8 - k = 2. n! / k!(n-k)!

22. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
0
A percent is a fraction whose denominator is 100.
$3 -500 in the 9% and $2 -500 in the 7%.
F(x-c)

23. 1/Ø=null If a>b then
Do not have slopes!
A<-b
67 - 71 - 73
y = 2x^2 - 3

24. What is the 'Solution' for a set of inequalities.
The overlapping sections.
9
Right
Sector area = (n/360) X (pi)r^2

25. Evaluate 4/11 + 11/12
(distance)/(rate) d/r
1:1:sqrt2
1 & 37/132
(length)(width)(height)

26. The larger the absolute value of the slope...
B?b?b (where b is used as a factor n times)
Smallest positive integer
26
The steeper the slope.

27. 1 is an
ODD number
P(E) = 1/1 = 1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
0

28. Ø is a multiple of
= (actual decrease/Original amount) x 100%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two (Ø×2=Ø)
Triangles with same measure and same side lengths.

29. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
(2x7)³
F(x) + c
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

30. What is the measure of an exterior angle of a regular pentagon?
48
72
0
1/x

31. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
180
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A natural number greater than 1 that has no positive divisors other than 1 and itself

32. What is the graph of f(x) shifted left c units or spaces?
500
3/2 - 5/3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
F(x + c)

33. The only number that is equal to its opposite
F(x) - c
Ø Ø=Ø
The second graph is less steep.
A=½bh

34. 20<all primes<30
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
23 - 29
3

35. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
x - x(SR3) - 2x
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
y/x is a constant

36. Probability of E not occurring:
A tangent is a line that only touches one point on the circumference of a circle.
20.5
y2-y1/x2-x1
1 - P(E)

37. 1 is a divisor of
Every number
4:5
x²-y²
2.592 kg

38. What is the area of a regular hexagon with side 6?
y = 2x^2 - 3
4725
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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)

39. What is a finite set?
A set with a number of elements which can be counted.
Diameter(Pi)
A percent is a fraction whose denominator is 100.
P(E) = 1/1 = 1

40. What is the intersection of A and B?
The set of elements found in both A and B.
V=l×w×h
P=2(l+w)
x - x+1 - x+2

41. Rate
An expression with just one term (-6x - 2a^2)
D/t (distance)/(time)
The overlapping sections.
Edge³

42. What is the graph of f(x) shifted right c units or spaces?
10! / 3!(10-3)! = 120
7 / 1000
Its divisible by 2 and by 3.
F(x-c)

43. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
= (actual decrease/Original amount) x 100%
20.5
1

44. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
D/t (distance)/(time)
31 - 37
A multiple of every integer

45. What is a percent?
A percent is a fraction whose denominator is 100.
... the square of the ratios of the corresponding sides.
A reflection about the axis.
The set of output values for a function.

46. What number between 70 & 75 - inclusive - has the greatest number of factors?
(p + q)/5
72
(2x7)³
The sum of the digits is a multiple of 9.

47. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
72
1
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 expression with just one term (-6x - 2a^2)

48. 10<all primes<20
3/2 - 5/3
11 - 13 - 17 - 19
28. n = 8 - k = 2. n! / k!(n-k)!
72

49. How to recognize a multiple of 6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
11 - 13 - 17 - 19
Sum of digits is a multiple of 3 and the last digit is even.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

50. What are the irrational numbers?

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