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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 is the graph of f(x) shifted upward c units or spaces?
V=Lwh
3/2 - 5/3
F(x) + c
1
2. Factor a^2 + 2ab + b^2
(a - b)(a + b)
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...
(a + b)^2
2²
3. If a is positive - an is
360°
The set of input values for a function.
Positive
Positive or Negative
4. 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
3
The overlapping sections.
180
A=(base)(height)
5. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
y/x is a constant
The point of intersection of the systems.
6. (x-y)(x+y)
x²-y²
0
A reflection about the origin.
52
7. Ø is a multiple of
(rate)(time) d=rt
9
P(E) = ø
Every number
8. Product of any number and Ø is
Ø
48
288 (8 9 4)
F(x + c)
9. What are the roots of the quadrinomial x^2 + 2x + 1?
Cd
The two xes after factoring.
6 : 1 : 2
360°
10. Acute Angle
5 - 12 - 13
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
an angle that is less than 90°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
11. If a lamp decreases to $80 - from $100 - what is the decrease in price?
x²-y²
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Can be negative - zero - or positive
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
12. Slope of any line that goes up from left to right
Factors are few - multiples are many.
Positive
Parallelogram
1/2 times 7/3
13. The larger the absolute value of the slope...
The set of elements found in both A and B.
18
The steeper the slope.
(x+y)(x-y)
14. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
70
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A<-b
15. A prime number (or a prime)
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)
A natural number greater than 1 that has no positive divisors other than 1 and itself
$3 -500 in the 9% and $2 -500 in the 7%.
48
16. In a Rectangle - each angles measures
6
90°
A+c<b+c
The set of input values for a function.
17. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
A-b is negative
31 - 37
1 & 37/132
18. Perimeter of a rectangle
F(x) - c
Triangles with same measure and same side lengths.
P= 2L + 2w
28
19. 1n
62.5%
The sum of digits is divisible by 9.
1
A set with no members - denoted by a circle with a diagonal through it.
20. x^4 + x^7 =
71 - 73 - 79
x^(4+7) = x^11
360°
360°
21. Simplify (a^2 + b)^2 - (a^2 - b)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
18
4a^2(b)
Undefined
22. 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))?
1
$3 -500 in the 9% and $2 -500 in the 7%.
0
20.5
23. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
1
10! / 3!(10-3)! = 120
Ø
0
24. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
V=Lwh
(a - b)^2
25. formula for distance problems
Distance=rate×time or d=rt
.0004809 X 10^11
P= 2L + 2w
F(x) - c
26. 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.)
5 OR -5
An infinite set.
Ab+ac
27. 10<all primes<20
A = length x width
11 - 13 - 17 - 19
Ab+ac
5 OR -5
28. The negative exponent x?n is equivalent to what?
Two angles whose sum is 90.
0
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Ø
29. Solve the quadratic equation ax^2 + bx + c= 0
360/n
The set of elements found in both A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The steeper the slope.
30. How to recognize a # as a multiple of 3
Two equal sides and two equal angles.
(distance)/(rate) d/r
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)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
31. Legs 5 - 12. Hypotenuse?
An isosceles right triangle.
(p + q)/5
13
0
32. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
180°
x²+2xy+y²
Sum of digits is a multiple of 3 and the last digit is even.
33. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Reciprocal
13pi / 2
34. 2 is the only
2(pi)r
Even prime number
B?b?b (where b is used as a factor n times)
3
35. Obtuse Angle
Ø
... the square of the ratios of the corresponding sides.
angle that is greater than 90° but less than 180°
x - x(SR3) - 2x
36. How do you solve proportions? a/b=c/d
360/n
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
P(E) = 1/1 = 1
A chord is a line segment joining two points on a circle.
37. Circumference of a circle
2
2sqrt6
Pi(diameter)
N! / (n-k)!
38. An Angle that'S 180°
Sector area = (n/360) X (pi)r^2
48
2 & 3/7
Straight Angle
39. Ø Is neither
A natural number greater than 1 that has no positive divisors other than 1 and itself
N! / (k!)(n-k)!
Positive or Negative
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
40. P and r are factors of 100. What is greater - pr or 100?
Undefined
Indeterminable.
The greatest value minus the smallest.
3
41. The sum of the measures of the n angles in a polygon with n sides
1.7
C=2 x pi x r OR pi x D
3x - 4x - 5x
(n-2) x 180
42. a(b-c)
Ab-ac
0
4725
Negative
43. Area of a circle
1
1/x
(pi)r²
(a - b)^2
44. What is the graph of f(x) shifted left c units or spaces?
Ø
70
F(x + c)
Straight Angle
45. binomial product of (x+y)²
ODD number
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(x+y)(x+y)
2 & 3/7
46. Pi is a ratio of what to what?
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47. a^2 - b^2 =
D/t (distance)/(time)
(a - b)(a + b)
3/2 - 5/3
A = pi(r^2)
48. If a is negative and n is even then an is (positive or negative?)
An is positive
12! / 5!7! = 792
y = 2x^2 - 3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
49. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
The objects within a set.
75:11
71 - 73 - 79
50. 6w^2 - w - 15 = 0
... the square of the ratios of the corresponding sides.
A= (1/2) b*h
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)
3/2 - 5/3