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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 product of odd number of negative numbers
Negative
72
x(x - y + 1)
C = 2(pi)r

2. What is the graph of f(x) shifted upward c units or spaces?
52
$11 -448
F(x) + c
The shortest arc between points A and B on a circle'S diameter.

3. The sum of all angles around a point
angle that is greater than 90° but less than 180°
360°
A central angle is an angle formed by 2 radii.
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)

4. A number is divisible by 3 if ...
C=2 x pi x r OR pi x D
6
The sum of its digits is divisible by 3.
Negative

5. -3²
9
180
An angle which is supplementary to an interior angle.
The set of output values for a function.

6. (x+y)²
27^(-4)
V=Lwh
1
x²+2xy+y²

7. Volume of a rectangular box
F(x) - c
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
V=Lwh
10! / (10-3)! = 720

8. Formula for the area of a circle?
2^9 / 2 = 256
All numbers multiples of 1.
A = pi(r^2)
4:5

9. What is a central angle?
A central angle is an angle formed by 2 radii.
The second graph is less steep.
441000 = 1 10 10 10 21 * 21
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

10. What is the measure of an exterior angle of a regular pentagon?
3x - 4x - 5x
67 - 71 - 73
2²
72

11. The reciprocal of any non-zero #x is
Ø
3
x^(6-3) = x^3
1/x

12. The consecutive angles in a parallelogram equal
Undefined
180°
Straight Angle
(a + b)^2

13. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
angle that is greater than 90° but less than 180°
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1
28. n = 8 - k = 2. n! / k!(n-k)!

14. 25+2³
28
Parallelogram
an angle that is less than 90°
Negative

15. 10<all primes<20
11 - 13 - 17 - 19
2²
75:11
10! / 3!(10-3)! = 120

16. Acute Angle
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
28. n = 8 - k = 2. n! / k!(n-k)!
.0004809 X 10^11
an angle that is less than 90°

17. How many sides does a hexagon have?
True
6
V=Lwh
Its last two digits are divisible by 4.

18. What is a minor arc?

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19. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Factors are few - multiples are many.
Cd
87.5%

20. 7/8 in percent?
16.6666%
87.5%
P(E) = ø
1

21. 1/2 divided by 3/7 is the same as
Two (Ø×2=Ø)
1/2 times 7/3
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)
The second graph is less steep.

22. The larger the absolute value of the slope...
The steeper the slope.
1.7
360°
= (actual decrease/Original amount) x 100%

23. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
angle that is greater than 90° but less than 180°
10! / (10-3)! = 720
1.0843 X 10^11
x²-2xy+y²

24. Slope of any line that goes up from left to right
Positive
1:1:sqrt2
x²-2xy+y²
61 - 67

25. 1n
No - only like radicals can be added.
1
The set of output values for a function.
M

26. Can you simplify sqrt72?
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)
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)
67 - 71 - 73
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

27. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The overlapping sections.
4:5
angle that is greater than 90° but less than 180°
Straight Angle

28. a/Ø
Ab+ac
Ab-ac
20.5
Null

29. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1 & 37/132
20.5
Move the decimal point to the right x places

30. Evaluate 3& 2/7 / 1/3
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
9 & 6/7
The sum of digits is divisible by 9.
x²-2xy+y²

31. Pythagorean theorem
zero
83.333%
A²+b²=c²
Do not have slopes!

32. Define an 'expression'.
Ø
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)
Null
Ø

33. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
62.5%
(x+y)(x-y)
Every number

34. Ø Is
An infinite set.
Null
The direction of the inequality is reversed.
EVEN

35. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1/2 times 7/3
0
4725

36. 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)]?
Pi(diameter)
Yes - like radicals can be added/subtracted.
Lies opposite the greater angle
True

37. Volume of a rectangular solid
Lies opposite the greater angle
180 degrees
4a^2(b)
(length)(width)(height)

38. 10^6 has how many zeroes?
55%
1.0843 X 10^11
6
The set of elements which can be found in either A or B.

39. What does scientific notation mean?
Positive
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
180
A reflection about the origin.

40. 2 is the only
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
Straight Angle
Even prime number
Ø

41. a^2 - 2ab + b^2
Triangles with same measure and same side lengths.
(a - b)^2
Infinite.
An expression with just one term (-6x - 2a^2)

42. One is (a prime or not?)
Ø
NOT A PRIME
27^(-4)
5 OR -5

43. Ø is
A multiple of every integer
The set of input values for a function.
360/n
The set of elements found in both A and B.

44. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
72
4725
P=4s (s=side)
A subset.

45. 1 is a divisor of
x^(2(4)) =x^8 = (x^4)^2
41 - 43 - 47
Every number
A set with no members - denoted by a circle with a diagonal through it.

46. Slope of any line that goes down as you move from left to right is
37.5%
Negative
(a + b)^2
A = length x width

47. What is the ratio of the sides of an isosceles right triangle?
Negative
Sector area = (n/360) X (pi)r^2
10! / 3!(10-3)! = 120
1:1:sqrt2

48. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
P= 2L + 2w
True
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
A set with no members - denoted by a circle with a diagonal through it.

49. What is the ratio of the sides of a 30-60-90 triangle?
The set of elements which can be found in either A or B.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
1:sqrt3:2
Infinite.

50. (6sqrt3) x (2sqrt5) =
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)
23 - 29
x^(2(4)) =x^8 = (x^4)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15