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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. Is 0 even or odd?
1/a^6
Even
288 (8 9 4)
A tangent is a line that only touches one point on the circumference of a circle.
2. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
441000 = 1 10 10 10 21 * 21
4:5
A natural number greater than 1 that has no positive divisors other than 1 and itself
13pi / 2
3. A prime number (or a prime)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
441000 = 1 10 10 10 21 * 21
A natural number greater than 1 that has no positive divisors other than 1 and itself
Positive
4. What is a set with no members called?
x^(4+7) = x^11
The empty set - denoted by a circle with a diagonal through it.
$3 -500 in the 9% and $2 -500 in the 7%.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
5. (x^2)^4
Lies opposite the greater angle
x^(2(4)) =x^8 = (x^4)^2
A=(base)(height)
(rate)(time) d=rt
6. If the two sides of a triangle are unequal then the longer side.................
P= 2L + 2w
Lies opposite the greater angle
3 - -3
1
7. Legs: 3 - 4. Hypotenuse?
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...
5
The sum of the digits is a multiple of 9.
P= 2L + 2w
8. The consecutive angles in a parallelogram equal
180°
The set of output values for a function.
Yes - like radicals can be added/subtracted.
Two angles whose sum is 180.
9. Factor x^2 - xy + x.
The set of elements which can be found in either A or B.
x(x - y + 1)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
180°
10. Vertical lines
Do not have slopes!
Triangles with same measure and same side lengths.
12sqrt2
2(pi)r
11. Describe the relationship between the graphs of x^2 and (1/2)x^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The second graph is less steep.
Negative
5
12. 30 60 90
Undefined
71 - 73 - 79
Positive or Negative
x - x(SR3) - 2x
13. What is a percent?
EVEN
441000 = 1 10 10 10 21 * 21
... the square of the ratios of the corresponding sides.
A percent is a fraction whose denominator is 100.
14. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
288 (8 9 4)
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.
6
A²+b²=c²
15. The product of any number x and its reciprocal
A= (1/2) b*h
M
1
Negative
16. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
(rate)(time) d=rt
True
71 - 73 - 79
B?b?b (where b is used as a factor n times)
17. To increase a number by x%
Triangles with same measure and same side lengths.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
87.5%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
18. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
5 OR -5
Cd
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
19. What is the surface area of a cylinder with radius 5 and height 8?
(base*height) / 2
Triangles with same measure and same side lengths.
10! / 3!(10-3)! = 120
130pi
20. Ø is a multiple of
41 - 43 - 47
x^(4+7) = x^11
(amount of decrease/original price) x 100%
Two (Ø×2=Ø)
21. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
A=pi*(r^2)
10! / 3!(10-3)! = 120
Null
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
22. What is a tangent?
3 - 4 - 5
x²-y²
A tangent is a line that only touches one point on the circumference of a circle.
X
23. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
9
$11 -448
D/t (distance)/(time)
67 - 71 - 73
24. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
28
2
(p + q)/5
25. Write 10 -843 X 10^7 in scientific notation
Even prime number
1.0843 X 10^11
500
M= (Y1-Y2)/(X1-X2)
26. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Positive
3/2 - 5/3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4.25 - 6 - 22
27. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
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.)
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)
12! / 5!7! = 792
28. 1/8 in percent?
12.5%
500
V=Lwh
28
29. What are the integers?
A=(base)(height)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
All numbers multiples of 1.
Null
30. What are complementary angles?
P(E) = number of favorable outcomes/total number of possible outcomes
3
The two xes after factoring.
Two angles whose sum is 90.
31. What is the ratio of the sides of a 30-60-90 triangle?
Yes - like radicals can be added/subtracted.
1:sqrt3:2
Ab-ac
360°
32. formula for volume of a rectangular solid
Negative
P=4s (s=side)
V=l×w×h
All numbers multiples of 1.
33. Consecutive integers
Ab+ac
Two (Ø×2=Ø)
x - x+1 - x+2
Be Zero!
34. Volume of a rectangular box
5
0
V=Lwh
The set of elements found in both A and B.
35. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
130pi
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
288 (8 9 4)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
36. Factor a^2 + 2ab + b^2
41 - 43 - 47
A set with a number of elements which can be counted.
(a + b)^2
4725
37. In a Rectangle - each angles measures
1 - P(E)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
90°
10! / 3!(10-3)! = 120
38. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
C=2 x pi x r OR pi x D
Ab=k (k is a constant)
Even prime number
39. How to recognize if a # is a multiple of 12
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.)
26
(2x7)³
= (actual decrease/Original amount) x 100%
40. Time
Reciprocal
(distance)/(rate) d/r
Every number
Cd
41. Area of a Parallelogram:
72
A-b is negative
The set of elements which can be found in either A or B.
A=(base)(height)
42. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
3
1
(pi)r²
43. Area of a circle
(x+y)(x-y)
A=pi*(r^2)
An expression with just one term (-6x - 2a^2)
A tangent is a line that only touches one point on the circumference of a circle.
44. 0^0
180°
The sum of digits is divisible by 9.
Undefined
4725
45. (a^-1)/a^5
Lies opposite the greater angle
Ab-ac
The set of elements found in both A and B.
1/a^6
46. What is the maximum value for the function g(x) = (-2x^2) -1?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1
Reciprocal
47. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
87.5%
B?b?b (where b is used as a factor n times)
1/2 times 7/3
48. 5x^2 - 35x -55 = 0
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
23 - 29
5 OR -5
49. A quadrilateral where two diagonals bisect each other
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1:1:sqrt2
Parallelogram
Undefined
50. Ø Is
Two (Ø×2=Ø)
NOT A PRIME
An arc is a portion of a circumference of a circle.
EVEN