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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 left c units or spaces?
72
F(x + c)
V=side³
67 - 71 - 73
2. Reduce: 4.8 : 0.8 : 1.6
Subtract them. i.e (5^7)/(5^3)= 5^4
180°
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
6 : 1 : 2
3. What are complementary angles?
90°
Two angles whose sum is 90.
A=½bh
.0004809 X 10^11
4. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Positive
8
Even
3x - 4x - 5x
5. Formula to find a circle'S circumference from its radius?
The point of intersection of the systems.
Ø=P(E)=1
.0004809 X 10^11
C = 2(pi)r
6. Factor a^2 + 2ab + b^2
28
(n-2) x 180
P(E) = 1/1 = 1
(a + b)^2
7. 20<all primes<30
2.592 kg
23 - 29
Ab-ac
(n-2) x 180
8. Volume of a cube
83.333%
180
Edge³
130pi
9. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Two equal sides and two equal angles.
(a - b)(a + b)
Straight Angle
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
10. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
1:1:sqrt2
An expression with just one term (-6x - 2a^2)
Pi(diameter)
11. If a is inversely porportional to b - what does it equal?
Negative
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Ab=k (k is a constant)
N! / (n-k)!
12. 0^0
Negative
Undefined
2^9 / 2 = 256
Even prime number
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))?
A tangent is a line that only touches one point on the circumference of a circle.
P=2(l+w)
20.5
4:5
14. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
A²+b²=c²
Even
Undefined
15. What is the 'Solution' for a system of linear equations?
360°
130pi
The point of intersection of the systems.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
16. Obtuse Angle
angle that is greater than 90° but less than 180°
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2 & 3/7
Ab=k (k is a constant)
17. 1/2 divided by 3/7 is the same as
an angle that is less than 90°
Even prime number
1/2 times 7/3
The steeper the slope.
18. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
1
Triangles with same measure and same side lengths.
9 : 25
N! / (n-k)!
19. Rate
Ø Ø=Ø
D/t (distance)/(time)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2
20. 60 < all primes <70
C=2 x pi x r OR pi x D
61 - 67
F(x) - c
12sqrt2
21. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
1
90
288 (8 9 4)
22. a^2 - b^2
500
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
P= 2L + 2w
(a - b)(a + b)
23. Circumference of a Circle
A set with no members - denoted by a circle with a diagonal through it.
C=2 x pi x r OR pi x D
Distance=rate×time or d=rt
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
24. Which is greater? 64^5 or 16^8
Diameter(Pi)
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.)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A multiple of every integer
25. a^2 - b^2 =
(a - b)(a + b)
Positive or Negative
1:sqrt3:2
4096
26. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
Subtract them. i.e (5^7)/(5^3)= 5^4
3
$3 -500 in the 9% and $2 -500 in the 7%.
27. In a rectangle - all angles are
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Right
EVEN
The set of elements found in both A and B.
28. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
P=4s (s=side)
2(pi)r
A reflection about the origin.
Ab-ac
29. Can you subtract 3sqrt4 from sqrt4?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Yes - like radicals can be added/subtracted.
180°
P= 2L + 2w
30. If a product of two numbers is Ø - one number must be
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ø
Even
P(E) = 1/1 = 1
31. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Null
Yes - like radicals can be added/subtracted.
(a - b)^2
90
32. 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)]?
True
The longest arc between points A and B on a circle'S diameter.
1 - P(E)
A reflection about the axis.
33. What is the graph of f(x) shifted upward c units or spaces?
Subtract them. i.e (5^7)/(5^3)= 5^4
500
F(x) + c
Two angles whose sum is 90.
34. 25+2³
Sum of digits is a multiple of 3 and the last digit is even.
The set of output values for a function.
P=2(l+w)
28
35. Whats the difference between factors and multiples?
Factors are few - multiples are many.
Can be negative - zero - or positive
(a - b)(a + b)
Right
36. 1 is the
Smallest positive integer
5 - 12 - 13
x²+2xy+y²
28. n = 8 - k = 2. n! / k!(n-k)!
37. What is the slope of a vertical line?
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38. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
F(x) - c
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A chord is a line segment joining two points on a circle.
39. Find distance when given time and rate
4:5
EVEN
Pi is the ratio of a circle'S circumference to its diameter.
D=rt so r= d/t and t=d/r
40. 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?
10! / (10-3)! = 720
4096
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(a + b)^2
41. What are the integers?
1
Ab-ac
All numbers multiples of 1.
Subtract them. i.e (5^7)/(5^3)= 5^4
42. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A = pi(r^2)
P(E) = ø
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2 & 3/7
43. What is an arc of a circle?
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
12! / 5!7! = 792
An arc is a portion of a circumference of a circle.
The empty set - denoted by a circle with a diagonal through it.
44. Probability of Event all cases
2
26
Ø=P(E)=1
y = (x + 5)/2
45. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
(amount of decrease/original price) x 100%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
N! / (k!)(n-k)!
An isosceles right triangle.
46. Any Horizontal line slope
11 - 13 - 17 - 19
Sum of digits is a multiple of 3 and the last digit is even.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
zero
47. 7/8 in percent?
P=4s (s=side)
87.5%
(a - b)^2
The union of A and B.
48. Find the surface area of a cylinder with radius 3 and height 12.
90pi
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
75:11
(base*height) / 2
49. What is the set of elements found in both A and B?
31 - 37
The interesection of A and B.
10! / (10-3)! = 720
13
50. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
26
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.)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a