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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-y)²
1/a^6
x²-2xy+y²
P= 2L + 2w
A percent is a fraction whose denominator is 100.

2. formula for distance problems
Ø=P(E)=1
V=l×w×h
Distance=rate×time or d=rt
Two angles whose sum is 90.

3. Evaluate (4^3)^2
28
4096
A = length x width
Null

4. 30 60 90
x²-y²
1/2 times 7/3
5 - 12 - 13
3/2 - 5/3

5. Formula for the area of a circle?
3
A = pi(r^2)
Lies opposite the greater angle
NOT A PRIME

6. x^2 = 9. What is the value of x?
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...
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
zero
3 - -3

7. The Perimeter of a Square
A percent is a fraction whose denominator is 100.
P=4s (s=side)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The set of elements found in both A and B.

8. 8.84 / 5.2
The set of input values for a function.
4a^2(b)
18
1.7

9. How to recognize a multiple of 6
The point of intersection of the systems.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Sum of digits is a multiple of 3 and the last digit is even.
90

10. a>b then a - b is positive or negative?
A-b is positive
(a + b)^2
A 30-60-90 triangle.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

11. The larger the absolute value of the slope...
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The steeper the slope.
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)
Right

12. The Perimeter of a rectangle
F(x-c)
P=2(l+w)
288 (8 9 4)
55%

13. How many sides does a hexagon have?
87.5%
6
13
angle that is greater than 90° but less than 180°

14. A quadrilateral where two diagonals bisect each other
1 & 37/132
Parallelogram
180 degrees
Null

15. What is a minor arc?

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16. Time
(2x7)³
28
A 30-60-90 triangle.
(distance)/(rate) d/r

17. Evaluate 3& 2/7 / 1/3
9 & 6/7
1.7
90°
360°

18. What is the empty set?
Edge³
A set with no members - denoted by a circle with a diagonal through it.
2sqrt6
441000 = 1 10 10 10 21 * 21

19. Ø Is
EVEN
The set of elements found in both A and B.
3x - 4x - 5x
x²-2xy+y²

20. To increase a number by x%
A-b is positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1 - P(E)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

21. a(b+c)
Ab+ac
x^(2(4)) =x^8 = (x^4)^2
An arc is a portion of a circumference of a circle.
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.

22. 1n
1
288 (8 9 4)
A 30-60-90 triangle.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

23. The reciprocal of any non-zero #x is
20.5
1/x
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
$3 -500 in the 9% and $2 -500 in the 7%.

24. 5/8 in percent?
28
Ø Ø=Ø
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)
62.5%

25. the measure of a straight angle
The longest arc between points A and B on a circle'S diameter.
The two xes after factoring.
180°
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

26. 7 divided by Ø
1/x
20.5
Null
Negative

27. (x^2)^4
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A subset.
x^(2(4)) =x^8 = (x^4)^2
A reflection about the axis.

28. What is the 'Solution' for a system of linear equations?
Cd
The point of intersection of the systems.
Null
1/x

29. What is a tangent?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A tangent is a line that only touches one point on the circumference of a circle.
4:5
5

30. Factor a^2 + 2ab + b^2
(a + b)^2
Positive or Negative
5 OR -5
Two equal sides and two equal angles.

31. Area of a triangle?
(base*height) / 2
A set with a number of elements which can be counted.
(x+y)(x-y)
M= (Y1-Y2)/(X1-X2)

32. What is the graph of f(x) shifted downward c units or spaces?
2sqrt6
Factors are few - multiples are many.
Negative
F(x) - c

33. 25^(1/2) or sqrt. 25 =
A tangent is a line that only touches one point on the circumference of a circle.
Diameter(Pi)
N! / (n-k)!
5 OR -5

34. Perimeter of a rectangle
Ø
0
Ab-ac
P= 2L + 2w

35. Slope of any line that goes up from left to right
23 - 29
28. n = 8 - k = 2. n! / k!(n-k)!
1
Positive

36. Which is greater? 27^(-4) or 9^(-8)
F(x) + c
Infinite.
27^(-4)
1:sqrt3:2

37. What is the graph of f(x) shifted right c units or spaces?
The second graph is less steep.
V=side³
A grouping of the members within a set based on a shared characteristic.
F(x-c)

38. Ø is a multiple of
(2x7)³
8
Distance=rate×time or d=rt
Two (Ø×2=Ø)

39. P and r are factors of 100. What is greater - pr or 100?
55%
Distance=rate×time or d=rt
6
Indeterminable.

40. Reduce: 4.8 : 0.8 : 1.6
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
6 : 1 : 2
Add them. i.e. (5^7) * (5^3) = 5^10
V=l×w×h

41. The Denominator can never
Be Zero!
A= (1/2) b*h
Reciprocal
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

42. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
72
No - only like radicals can be added.

43. factored binomial product of (x-y)²
F(x + c)
Move the decimal point to the right x places
9
x²-2xy+y²

44. What are congruent triangles?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Triangles with same measure and same side lengths.
A-b is positive
(amount of decrease/original price) x 100%

45. Distance
An expression with just one term (-6x - 2a^2)
4:5
V=side³
(rate)(time) d=rt

46. If y is directly proportional to x - what does it equal?
y/x is a constant
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)
Ø
1/x

47. Formula to find a circle'S circumference from its radius?
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.
C = 2(pi)r
Be Zero!
(a + b)^2

48. a/Ø
11 - 13 - 17 - 19
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)
180°
Null

49. Find distance when given time and rate
7 / 1000
90°
Pi is the ratio of a circle'S circumference to its diameter.
D=rt so r= d/t and t=d/r

50. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
(a + b)^2
Pi is the ratio of a circle'S circumference to its diameter.
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)