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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. Factor x^2 - xy + x.
A<-b
41 - 43 - 47
x(x - y + 1)
A = pi(r^2)
2. Find distance when given time and rate
D=rt so r= d/t and t=d/r
A = pi(r^2)
41 - 43 - 47
9 & 6/7
3. 3/8 in percent?
A set with no members - denoted by a circle with a diagonal through it.
37.5%
$11 -448
5
4. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
55%
Undefined
Two (Ø×2=Ø)
5. What is a percent?
A percent is a fraction whose denominator is 100.
0
180°
x²+2xy+y²
6. The important properties of a 45-45-90 triangle?
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.
9
72
6
7. Ø Is neither
Infinite.
2²
y = (x + 5)/2
Positive or Negative
8. Ø is
A multiple of every integer
Ab-ac
The set of input values for a function.
61 - 67
9. What is a minor arc?
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183
10. Slope given 2 points
True
Positive
M= (Y1-Y2)/(X1-X2)
11 - 13 - 17 - 19
11. Dividing by a number is the same as multiplying it by its
Move the decimal point to the right x places
Ø
Reciprocal
A-b is positive
12. binomial product of (x+y)²
A = length x width
52
The longest arc between points A and B on a circle'S diameter.
(x+y)(x+y)
13. 1 is an
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
ODD number
Sector area = (n/360) X (pi)r^2
The direction of the inequality is reversed.
14. binomial product of (x-y)²
(x+y)(x-y)
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.)
9 & 6/7
Sector area = (n/360) X (pi)r^2
15. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A reflection about the origin.
12! / 5!7! = 792
Two (Ø×2=Ø)
16. 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?
A-b is positive
Two angles whose sum is 180.
N! / (n-k)!
Two equal sides and two equal angles.
17. Rate
D/t (distance)/(time)
2²
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
9
18. A number is divisible by 4 is...
M
Its last two digits are divisible by 4.
The shortest arc between points A and B on a circle'S diameter.
An is positive
19. -3³
12! / 5!7! = 792
27
Infinite.
61 - 67
20. The consecutive angles in a parallelogram equal
A= (1/2) b*h
(x+y)(x-y)
2
180°
21. 5x^2 - 35x -55 = 0
3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Positive or Negative
31 - 37
22. What is the set of elements found in both A and B?
Be Zero!
Pi(diameter)
Pi is the ratio of a circle'S circumference to its diameter.
The interesection of A and B.
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?
y2-y1/x2-x1
288 (8 9 4)
V=l×w×h
10! / (10-3)! = 720
24. Define a 'monomial'
72
Its last two digits are divisible by 4.
An expression with just one term (-6x - 2a^2)
1 & 37/132
25. What is the maximum value for the function g(x) = (-2x^2) -1?
A+c<b+c
A grouping of the members within a set based on a shared characteristic.
1
6
26. the measure of a straight angle
3/2 - 5/3
(a - b)^2
3 - -3
180°
27. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
72
Sum of digits is a multiple of 3 and the last digit is even.
27
A reflection about the axis.
28. What is the intersection of A and B?
180°
1/2 times 7/3
The set of elements found in both A and B.
3 - -3
29. The only number that is equal to its opposite
Ø Ø=Ø
Its last two digits are divisible by 4.
37.5%
Null
30. (12sqrt15) / (2sqrt5) =
An is positive
10! / (10-3)! = 720
Ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
31. Formula to find a circle'S circumference from its diameter?
Ø=P(E)=1
13pi / 2
C = (pi)d
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
32. Vertical lines
Do not have slopes!
1
An angle which is supplementary to an interior angle.
4.25 - 6 - 22
33. 7 divided by Ø
$3 -500 in the 9% and $2 -500 in the 7%.
A natural number greater than 1 that has no positive divisors other than 1 and itself
Straight Angle
Null
34. What is the 'Solution' for a system of linear equations?
A tangent is a line that only touches one point on the circumference of a circle.
The point of intersection of the systems.
EVEN
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
35. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Subtract them. i.e (5^7)/(5^3)= 5^4
Ø
The shortest arc between points A and B on a circle'S diameter.
36. Formula for the area of a circle?
Indeterminable.
x²+2xy+y²
A = pi(r^2)
Cd
37. The sum of all angles around a point
Two (Ø×2=Ø)
an angle that is less than 90°
26
360°
38. What is a chord of a circle?
A= (1/2) b*h
x²-y²
A chord is a line segment joining two points on a circle.
... the square of the ratios of the corresponding sides.
39. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A set with no members - denoted by a circle with a diagonal through it.
$11 -448
x(x - y + 1)
40. 40 < all primes<50
41 - 43 - 47
71 - 73 - 79
V=side³
Ab+ac
41. Ø Is
(p + q)/5
Sum of digits is a multiple of 3 and the last digit is even.
EVEN
1:1:sqrt2
42. (x^2)^4
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)
Add them. i.e. (5^7) * (5^3) = 5^10
10! / 3!(10-3)! = 120
x^(2(4)) =x^8 = (x^4)^2
43. A number is divisible by 9 if...
The sum of digits is divisible by 9.
D=rt so r= d/t and t=d/r
Null
Move the decimal point to the right x places
44. Solve the quadratic equation ax^2 + bx + c= 0
P=4s (s=side)
V=side³
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
83.333%
45. Define an 'expression'.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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)
Even
46. A quadrilateral where two diagonals bisect each other
Parallelogram
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A reflection about the axis.
Diameter(Pi)
47. a^2 + 2ab + b^2
Two angles whose sum is 90.
(a + b)^2
Edge³
Ab-ac
48. Which is greater? 200x^295 or 10x^294?
90
3x - 4x - 5x
Relationship cannot be determined (what if x is negative?)
11 - 13 - 17 - 19
49. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
20.5
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.
2^9 / 2 = 256
An isosceles right triangle.
50. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
x - x+1 - x+2
Negative
V=l×w×h