Test your basic knowledge |

GRE Math: All In One

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. First 10 prime #s
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.
V=Lwh
Pi(diameter)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

2. factored binomial product of (x-y)²
Move the decimal point to the right x places
A<-b
V=side³
x²-2xy+y²

3. Legs 5 - 12. Hypotenuse?
angle that is greater than 90° but less than 180°
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
13
75:11

4. Formula to calculate arc length?
48
87.5%
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

5. If the two sides of a triangle are unequal then the longer side.................
Distance=rate×time or d=rt
Lies opposite the greater angle
Even prime number
P(E) = 1/1 = 1

6. Circumference of a circle
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
$11 -448
Pi(diameter)
Ø

7. The perimeter of a square is 48 inches. The length of its diagonal is:
62.5%
12sqrt2
Smallest positive integer
M

8. What is a tangent?
The sum of the digits is a multiple of 9.
All numbers multiples of 1.
A tangent is a line that only touches one point on the circumference of a circle.
1 & 37/132

9. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Straight Angle
Ab=k (k is a constant)
The two xes after factoring.
90

10. The percent decrease of a quantity
(x+y)(x-y)
27^(-4)
= (actual decrease/Original amount) x 100%
9

11. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
A = length x width
A=pi*(r^2)
Ab+ac

12. Ø is a multiple of
An expression with just one term (-6x - 2a^2)
Every number
Ø
An arc is a portion of a circumference of a circle.

13. 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))?
x^(6-3) = x^3
A = pi(r^2)
20.5
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

14. Ø is a multiple of
1
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.
Two (Ø×2=Ø)
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.

15. How to recognize if a # is a multiple of 12
C = (pi)d
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.)
The two xes after factoring.
A central angle is an angle formed by 2 radii.

16. 25/2³
A-b is positive
2²
48
1

17. Probability of E not occurring:
1 - P(E)
0
Do not have slopes!
The interesection of A and B.

18. What is a central angle?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A= (1/2) b*h
A central angle is an angle formed by 2 radii.
Undefined - because we can'T divide by 0.

19. 30 60 90
A-b is positive
(length)(width)(height)
3x - 4x - 5x
x(x - y + 1)

20. 1/6 in percent?
16.6666%
3
9 : 25
Ab=k (k is a constant)

21. If a lamp increases from $80 to $100 - what is the percent increase?
F(x) - c
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
6
Triangles with same measure and same side lengths.

22. 60 < all primes <70
Pi is the ratio of a circle'S circumference to its diameter.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
61 - 67
180

23. What is a minor arc?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

24. a^0 =
441000 = 1 10 10 10 21 * 21
53 - 59
1
13

25. What is the graph of f(x) shifted upward c units or spaces?
The steeper the slope.
31 - 37
F(x) + c
Right

26. When multiplying exponential #s with the same base - you do this to the exponents...
Yes - like radicals can be added/subtracted.
Add them. i.e. (5^7) * (5^3) = 5^10
EVEN
(length)(width)(height)

27. The Perimeter of a rectangle
P=2(l+w)
The set of output values for a function.
6
The overlapping sections.

28. How do you solve proportions? a/b=c/d
55%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(x+y)(x-y)
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)

29. What is the 'Range' of a function?
The set of output values for a function.
An angle which is supplementary to an interior angle.
(length)(width)(height)
(b + c)

30. How to recognize a # as a multiple of 4
(2x7)³
Subtract them. i.e (5^7)/(5^3)= 5^4
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.)
5 OR -5

31. How many 3-digit positive integers are even and do not contain the digit 4?
72
288 (8 9 4)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3 - 4 - 5

32. 7 divided by Ø
Two (Ø×2=Ø)
x²-2xy+y²
Null
EVEN

33. The ratio of the areas of two similar polygons is ...
500
... the square of the ratios of the corresponding sides.
12.5%
The direction of the inequality is reversed.

34. Solve the quadratic equation ax^2 + bx + c= 0
Ø
The set of output values for a function.
Lies opposite the greater angle
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

35. Factor a^2 + 2ab + b^2
A 30-60-90 triangle.
(a + b)^2
6
Cd

36. 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)?
N! / (k!)(n-k)!
2²
Yes - like radicals can be added/subtracted.
y = (x + 5)/2

37. 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)]?
13
True
Right
1/x

38. Formula for the area of a circle?
A = pi(r^2)
y = (x + 5)/2
62.5%
A=(base)(height)

39. the slope of a line in y=mx+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...
An infinite set.
M
10

40. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A multiple of every integer
A= (1/2) b*h
x - x(SR3) - 2x
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

41. formula for area of a triangle
(amount of decrease/original price) x 100%
A=½bh
(x+y)(x-y)
The two xes after factoring.

42. 1/8 in percent?
(a + b)^2
Lies opposite the greater angle
A-b is negative
12.5%

43. Area of a rectangle
A = length x width
True
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
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)

44. Slope of any line that goes up from left to right
P(E) = ø
2.592 kg
Positive
37.5%

45. Area of a Parallelogram:
A=(base)(height)
Negative
180°
Ab=k (k is a constant)

46. How to determine percent decrease?
(amount of decrease/original price) x 100%
Positive
Straight Angle
The empty set - denoted by a circle with a diagonal through it.

47. The important properties of a 45-45-90 triangle?
130pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
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.

48. 25+2³
28
F(x) + c
Yes - like radicals can be added/subtracted.
The sum of the digits is a multiple of 9.

49. a^2 - b^2 =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
True
An infinite set.
(a - b)(a + b)

50. Consecutive integers
x - x+1 - x+2
Cd
A-b is positive
87.5%