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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. Circumference of a circle?
18
1.0843 X 10^11
7 / 1000
Diameter(Pi)
2. the slope of a line in y=mx+b
31 - 37
N! / (k!)(n-k)!
M
EVEN
3. The perimeter of a square is 48 inches. The length of its diagonal is:
The interesection of A and B.
Two equal sides and two equal angles.
12sqrt2
Positive
4. 50 < all primes< 60
(x+y)(x-y)
Ø Ø=Ø
53 - 59
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
5. 60 < all primes <70
Straight Angle
Yes - like radicals can be added/subtracted.
x²-y²
61 - 67
6. Slope
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A 30-60-90 triangle.
y2-y1/x2-x1
The second graph is less steep.
7. Perfect Squares 1-15
A reflection about the origin.
The two xes after factoring.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
An expression with just one term (-6x - 2a^2)
8. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
P(E) = number of favorable outcomes/total number of possible outcomes
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Undefined - because we can'T divide by 0.
9. What are congruent triangles?
28
x - x+1 - x+2
Triangles with same measure and same side lengths.
D/t (distance)/(time)
10. a>b then a - b is positive or negative?
Yes - like radicals can be added/subtracted.
A tangent is a line that only touches one point on the circumference of a circle.
A-b is positive
The greatest value minus the smallest.
11. The sum of all angles around a point
83.333%
1
360°
D/t (distance)/(time)
12. 70 < all primes< 80
71 - 73 - 79
x(x - y + 1)
D/t (distance)/(time)
.0004809 X 10^11
13. What is the side length of an equilateral triangle with altitude 6?
x²+2xy+y²
A=pi*(r^2)
28
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...
14. 25/2³
2²
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)
Infinite.
10
15. How to recognize a # as a multiple of 4
12.5%
The two xes after factoring.
1/x
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.)
16. Obtuse Angle
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Every number
angle that is greater than 90° but less than 180°
A = pi(r^2)
17. What is the set of elements found in both A and B?
Triangles with same measure and same side lengths.
90
The interesection of A and B.
3
18. Simplify the expression [(b^2 - c^2) / (b - c)]
Undefined - because we can'T divide by 0.
A 30-60-90 triangle.
(b + c)
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
19. Evaluate 3& 2/7 / 1/3
A-b is negative
9 & 6/7
4:5
Members or elements
20. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
P(E) = ø
52
(b + c)
83.333%
21. Rate
Ø
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
D/t (distance)/(time)
Ø
22. 6w^2 - w - 15 = 0
F(x-c)
F(x + c)
180 degrees
3/2 - 5/3
23. A number is divisible by 3 if ...
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.
2 & 3/7
10! / (10-3)! = 720
The sum of its digits is divisible by 3.
24. What is a chord of a circle?
28. n = 8 - k = 2. n! / k!(n-k)!
A chord is a line segment joining two points on a circle.
X
x^(4+7) = x^11
25. Slope of any line that goes down as you move from left to right is
Negative
The set of output values for a function.
90pi
71 - 73 - 79
26. Circumference of a circle
(x+y)(x-y)
13
2(pi)r
M= (Y1-Y2)/(X1-X2)
27. What is the ratio of the sides of an isosceles right triangle?
zero
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.
1:1:sqrt2
3 - -3
28. What is the measure of an exterior angle of a regular pentagon?
Positive
72
75:11
180°
29. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
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)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
41 - 43 - 47
30. What is a subset?
Ø=P(E)=1
P= 2L + 2w
A grouping of the members within a set based on a shared characteristic.
(2x7)³
31. binomial product of (x-y)²
A subset.
y = 2x^2 - 3
(x+y)(x-y)
C = 2(pi)r
32. An Angle that'S 180°
Straight Angle
1
The second graph is less steep.
A = pi(r^2)
33. factored binomial product of (x+y)²
1/a^6
Every number
x²+2xy+y²
8
34. What is the slope of a horizontal line?
x²+2xy+y²
6
Edge³
0
35. Positive integers that have exactly 2 positive divisors are
Even prime number
1/x
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1 & 37/132
36. Write 10 -843 X 10^7 in scientific notation
1/a^6
180°
1.0843 X 10^11
75:11
37. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
Can be negative - zero - or positive
12! / 5!7! = 792
Diameter(Pi)
38. What are the smallest three prime numbers greater than 65?
P(E) = 1/1 = 1
16.6666%
67 - 71 - 73
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
39. 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?
The sum of the digits is a multiple of 9.
(p + q)/5
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)
N! / (n-k)!
40. a(b+c)
Ab+ac
(a - b)(a + b)
75:11
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
41. The reciprocal of any non-zero #x is
The interesection of A and B.
1/x
(a + b)^2
Pi(diameter)
42. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
1
(a - b)(a + b)
75:11
43. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1.0843 X 10^11
23 - 29
75:11
A reflection about the origin.
44. What is an arc of a circle?
2
An arc is a portion of a circumference of a circle.
288 (8 9 4)
Parallelogram
45. Probability of E not occurring:
A tangent is a line that only touches one point on the circumference of a circle.
1 - P(E)
x²-2xy+y²
A 30-60-90 triangle.
46. The Perimeter of a Square
5
P=4s (s=side)
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
Diameter(Pi)
47. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A-b is negative
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)
A chord is a line segment joining two points on a circle.
3
48. X is the opposite of
Ø
75:11
Ø=P(E)=1
X
49. The sum of the angles in a quadrilateral is
360°
EVEN
Members or elements
(amount of decrease/original price) x 100%
50. 25+2³
Factors are few - multiples are many.
28
1:sqrt3:2
(n-2) x 180