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Test your basic knowledge |
GRE Math: All In One
Start Test
Study First
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. 7 divided by Ø
Null
Infinite.
180°
A=½bh
2. (12sqrt15) / (2sqrt5) =
A chord is a line segment joining two points on a circle.
M
Triangles with same measure and same side lengths.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
3. formula for distance problems
(x+y)(x+y)
Distance=rate×time or d=rt
4.25 - 6 - 22
x²+2xy+y²
4. What is the empty set?
10! / (10-3)! = 720
A set with no members - denoted by a circle with a diagonal through it.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(n-2) x 180
5. Describe the relationship between the graphs of x^2 and (1/2)x^2
52
The second graph is less steep.
A reflection about the axis.
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)
6. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
61 - 67
360°
52
7. x^2 = 9. What is the value of x?
x - x(SR3) - 2x
F(x) - c
2
3 - -3
8. 5/8 in percent?
An angle which is supplementary to an interior angle.
180°
70
62.5%
9. If a product of two numbers is Ø - one number must be
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Distance=rate×time or d=rt
Ø
(x+y)(x+y)
10. b¹
C = (pi)d
53 - 59
1
A central angle is an angle formed by 2 radii.
11. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
B?b?b (where b is used as a factor n times)
27
Yes - like radicals can be added/subtracted.
180
12. 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?
A set with a number of elements which can be counted.
A multiple of every integer
10! / (10-3)! = 720
Its divisible by 2 and by 3.
13. formula for volume of a rectangular solid
V=l×w×h
61 - 67
4096
A grouping of the members within a set based on a shared characteristic.
14. Area of a triangle?
y2-y1/x2-x1
The empty set - denoted by a circle with a diagonal through it.
An infinite set.
(base*height) / 2
15. Area of a circle
A reflection about the axis.
4096
$3 -500 in the 9% and $2 -500 in the 7%.
A=pi*(r^2)
16. a^2 - b^2
27^(-4)
360°
(a - b)(a + b)
(distance)/(rate) d/r
17. Evaluate (4^3)^2
An arc is a portion of a circumference of a circle.
4725
4096
48
18. 1 is an
(base*height) / 2
Undefined - because we can'T divide by 0.
ODD number
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
19. 8.84 / 5.2
P(E) = ø
1.7
2
1 & 37/132
20. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
X
90°
A reflection about the axis.
y/x is a constant
21. Which is greater? 200x^295 or 10x^294?
Subtract them. i.e (5^7)/(5^3)= 5^4
Relationship cannot be determined (what if x is negative?)
6
Every number
22. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Ø
N! / (n-k)!
1
An expression with just one term (-6x - 2a^2)
23. Area of a Parallelogram:
28. n = 8 - k = 2. n! / k!(n-k)!
x²-2xy+y²
A=(base)(height)
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
24. A quadrilateral where two diagonals bisect each other
Parallelogram
Smallest positive integer
Sum of digits is a multiple of 3 and the last digit is even.
23 - 29
25. Rate
The union of A and B.
D/t (distance)/(time)
Factors are few - multiples are many.
A²+b²=c²
26. x^4 + x^7 =
Yes - like radicals can be added/subtracted.
67 - 71 - 73
x^(4+7) = x^11
Straight Angle
27. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Every number
The set of output values for a function.
Two angles whose sum is 90.
28. What are the integers?
All numbers multiples of 1.
An infinite set.
angle that is greater than 90° but less than 180°
0
29. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Members or elements
M
2sqrt6
0
30. The larger the absolute value of the slope...
The steeper the slope.
True
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)
M
31. What are the real numbers?
16.6666%
The interesection of A and B.
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)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
32. What is the measure of an exterior angle of a regular pentagon?
The set of output values for a function.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
72
Two angles whose sum is 90.
33. If a is inversely porportional to b - what does it equal?
x²+2xy+y²
4:5
A = pi(r^2)
Ab=k (k is a constant)
34. Volume of a rectangular box
V=Lwh
The steeper the slope.
28. n = 8 - k = 2. n! / k!(n-k)!
C = 2(pi)r
35. What is the 'Solution' for a set of inequalities.
(a - b)(a + b)
(length)(width)(height)
The overlapping sections.
Relationship cannot be determined (what if x is negative?)
36. Consecutive integers
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x - x+1 - x+2
F(x) + c
37. ز
A multiple of every integer
x^(6-3) = x^3
Even
Ø
38. 2³×7³
P(E) = 1/1 = 1
3
(2x7)³
Ø
39. Legs 6 - 8. Hypotenuse?
10
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Diameter(Pi)
Distance=rate×time or d=rt
40. The Denominator can never
Be Zero!
V=l×w×h
F(x) - c
4725
41. What is a percent?
1/a^6
A percent is a fraction whose denominator is 100.
5 - 12 - 13
(pi)r²
42. What is the side length of an equilateral triangle with altitude 6?
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...
Null
angle that is greater than 90° but less than 180°
Ø
43. 25/2³
(a - b)(a + b)
2²
2sqrt6
(a - b)(a + b)
44. P and r are factors of 100. What is greater - pr or 100?
180°
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Indeterminable.
Right
45. binomial product of (x+y)(x-y)
Positive
Even prime number
x²-y²
A 30-60-90 triangle.
46. Slope of any line that goes down as you move from left to right is
Negative
The sum of its digits is divisible by 3.
12sqrt2
90
47. 6w^2 - w - 15 = 0
3/2 - 5/3
A set with no members - denoted by a circle with a diagonal through it.
13
12sqrt2
48. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The sum of the digits is a multiple of 9.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1
Triangles with same measure and same side lengths.
49. 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?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
27
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
441000 = 1 10 10 10 21 * 21
50. the slope of a line in y=mx+b
P= 2L + 2w
Add them. i.e. (5^7) * (5^3) = 5^10
V=Lwh
M