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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. What are the smallest three prime numbers greater than 65?
12.5%
Infinite.
Even prime number
67 - 71 - 73
2. The sum of all angles around a point
Pi is the ratio of a circle'S circumference to its diameter.
360°
y2-y1/x2-x1
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
3. Probability of E not occurring:
(rate)(time) d=rt
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.
1 - P(E)
1/a^6
4. the slope of a line in y=mx+b
360°
A chord is a line segment joining two points on a circle.
3 - 4 - 5
M
5. What is a major arc?
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6. Pythagorean theorem
8
A²+b²=c²
1
y2-y1/x2-x1
7. 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?
Every number
12.5%
28. n = 8 - k = 2. n! / k!(n-k)!
52
8. One is (a prime or not?)
441000 = 1 10 10 10 21 * 21
Smallest positive integer
Edge³
NOT A PRIME
9. Simplify the expression [(b^2 - c^2) / (b - c)]
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(b + c)
A-b is negative
Even prime number
10. 50 < all primes< 60
90pi
53 - 59
The greatest value minus the smallest.
x²-2xy+y²
11. (x-y)(x+y)
27
x²-y²
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.
Even
12. Define a 'Term' -
2²
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)
9
Positive
13. 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?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
90°
N! / (n-k)!
2(pi)r
14. 30< all primes<40
A = pi(r^2)
(n-2) x 180
31 - 37
P=2(l+w)
15. How many 3-digit positive integers are even and do not contain the digit 4?
The two xes after factoring.
62.5%
288 (8 9 4)
1/x
16. What is an exterior angle?
y2-y1/x2-x1
x(x - y + 1)
An angle which is supplementary to an interior angle.
A=(base)(height)
17. (x-y)²
F(x) + c
1
x^(4+7) = x^11
x²-2xy+y²
18. 2 is the only
Even prime number
A set with a number of elements which can be counted.
A = length x width
5
19. If a is inversely porportional to b - what does it equal?
(2x7)³
Ab=k (k is a constant)
(n-2) x 180
The set of output values for a function.
20. Can you simplify sqrt72?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A chord is a line segment joining two points on a circle.
A-b is negative
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
21. a<b then a - b is positive or negative?
1
A-b is negative
x²-2xy+y²
The sum of its digits is divisible by 3.
22. If E is certain
The steeper the slope.
(a - b)(a + b)
0
P(E) = 1/1 = 1
23. In a Regular Polygon - the measure of each exterior angle
360/n
P(E) = ø
No - only like radicals can be added.
M= (Y1-Y2)/(X1-X2)
24. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1.7
ODD number
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
25. Dividing by a number is the same as multiplying it by its
Reciprocal
An infinite set.
Diameter(Pi)
(a + b)^2
26. Factor a^2 + 2ab + b^2
A=½bh
(a + b)^2
Even
360°
27. Convert 0.7% to a fraction.
7 / 1000
The set of input values for a function.
0
(a + b)^2
28. If y is directly proportional to x - what does it equal?
Be Zero!
C=2 x pi x r OR pi x D
y/x is a constant
55%
29. -3²
180°
A= (1/2) b*h
7 / 1000
9
30. Ø Is neither
6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Positive or Negative
x^(2(4)) =x^8 = (x^4)^2
31. Circumference of a circle
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Two angles whose sum is 180.
Pi(diameter)
(a - b)^2
32. 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))?
20.5
1
x^(2(4)) =x^8 = (x^4)^2
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...
33. What is the sum of the angles of a triangle?
1/a^6
360°
180 degrees
Sector area = (n/360) X (pi)r^2
34. Ø is a multiple of
9 : 25
Every number
Null
0
35. What is the 'Solution' for a set of inequalities.
A=(base)(height)
The overlapping sections.
C = 2(pi)r
A-b is negative
36. The product of any number x and its reciprocal
1
Ab-ac
288 (8 9 4)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
37. a^2 - 2ab + b^2
(a - b)^2
83.333%
= (actual decrease/Original amount) x 100%
(pi)r²
38. 1/2 divided by 3/7 is the same as
The steeper the slope.
Undefined
1/2 times 7/3
The two xes after factoring.
39. How to recognize if a # is a multiple of 12
Triangles with same measure and same side lengths.
Distance=rate×time or d=rt
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.)
M= (Y1-Y2)/(X1-X2)
40. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
A subset.
1.7
A reflection about the axis.
41. Circumference of a circle?
500
(amount of decrease/original price) x 100%
Diameter(Pi)
C = (pi)d
42. Simplify the expression (p^2 - q^2)/ -5(q - p)
The second graph is less steep.
10! / 3!(10-3)! = 120
(p + q)/5
Cd
43. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
C = (pi)d
P(E) = 1/1 = 1
26
44. a^2 - b^2 =
x²-2xy+y²
10
Two equal sides and two equal angles.
(a - b)(a + b)
45. The sum of the measures of the n angles in a polygon with n sides
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
87.5%
(n-2) x 180
Smallest positive integer
46. (x+y)²
x²+2xy+y²
N! / (k!)(n-k)!
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
1 & 37/132
47. Volume of a rectangular box
V=Lwh
A 30-60-90 triangle.
The overlapping sections.
A multiple of every integer
48. Formula for the area of a sector of a circle?
Positive
(x+y)(x-y)
The second graph is less steep.
Sector area = (n/360) X (pi)r^2
49. The negative exponent x?n is equivalent to what?
No - only like radicals can be added.
V=side³
360°
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
50. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Do not have slopes!
2^9 / 2 = 256
11 - 13 - 17 - 19
N! / (n-k)!