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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 ratio of the sides of a 30-60-90 triangle?
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)
1:sqrt3:2
180
x²+2xy+y²
2. 7/8 in percent?
An arc is a portion of a circumference of a circle.
Undefined
20.5
87.5%
3. Find distance when given time and rate
A= (1/2) b*h
D=rt so r= d/t and t=d/r
Undefined
An isosceles right triangle.
4. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
12! / 5!7! = 792
1/x
y2-y1/x2-x1
5. How to recognize a # as a multiple of 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.)
83.333%
9 & 6/7
The union of A and B.
6. ز
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A chord is a line segment joining two points on a circle.
Ø
Distance=rate×time or d=rt
7. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
26
4:5
x²-y²
y2-y1/x2-x1
8. What is an isoceles triangle?
x²+2xy+y²
Two equal sides and two equal angles.
9
4725
9. A number is divisible by 6 if...
Its divisible by 2 and by 3.
4a^2(b)
A 30-60-90 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.
10. 1n
(pi)r²
1
The sum of digits is divisible by 9.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
11. How many multiples does a given number have?
71 - 73 - 79
M= (Y1-Y2)/(X1-X2)
41 - 43 - 47
Infinite.
12. What are the roots of the quadrinomial x^2 + 2x + 1?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
9 : 25
The two xes after factoring.
16.6666%
13. What are the irrational numbers?
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14. 25^(1/2) or sqrt. 25 =
A set with a number of elements which can be counted.
5 OR -5
Ø
4.25 - 6 - 22
15. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
y = 2x^2 - 3
23 - 29
13
16. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
The set of input values for a function.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A reflection about the origin.
Subtract them. i.e (5^7)/(5^3)= 5^4
17. 25/2³
2²
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The longest arc between points A and B on a circle'S diameter.
18. Circumference of a Circle
Straight Angle
C=2 x pi x r OR pi x D
6 : 1 : 2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
19. In any polygon - all external angles equal up to
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
360°
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)
8
20. 5/6 in percent?
P(E) = ø
70
Add them. i.e. (5^7) * (5^3) = 5^10
83.333%
21. Ø is
An isosceles right triangle.
A multiple of every integer
A=½bh
(x+y)(x+y)
22. 0^0
Undefined
P(E) = 1/1 = 1
31 - 37
y/x is a constant
23. Dividing by a number is the same as multiplying it by its
90
Reciprocal
Two angles whose sum is 90.
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.)
24. What is the measure of an exterior angle of a regular pentagon?
72
10
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.
37.5%
25. factored binomial product of (x-y)²
x²-2xy+y²
Distance=rate×time or d=rt
Negative
1.0843 X 10^11
26. the measure of a straight angle
C=2 x pi x r OR pi x D
72
180°
53 - 59
27. Simplify the expression (p^2 - q^2)/ -5(q - p)
Can be negative - zero - or positive
(p + q)/5
27^(-4)
1
28. Ø Is
A²+b²=c²
EVEN
An infinite set.
3
29. The negative exponent x?n is equivalent to what?
2^9 / 2 = 256
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
72
30. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Even
Infinite.
A 30-60-90 triangle.
x²+2xy+y²
31. What does scientific notation mean?
12.5%
x²+2xy+y²
9
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
32. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
31 - 37
A reflection about the axis.
EVEN
Null
33. Probability of E not occurring:
9 : 25
x - x+1 - x+2
1 - P(E)
441000 = 1 10 10 10 21 * 21
34. the slope of a line in y=mx+b
M
The direction of the inequality is reversed.
A+c<b+c
72
35. Legs 6 - 8. Hypotenuse?
x - x+1 - x+2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(x+y)(x-y)
10
36. What is an arc of a circle?
Ø
The second graph is less steep.
An arc is a portion of a circumference of a circle.
(rate)(time) d=rt
37. What is a major arc?
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38. How to recognize a # as a multiple of 3
Its divisible by 2 and by 3.
The steeper the slope.
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)
11 - 13 - 17 - 19
39. 30 60 90
4096
(a + b)^2
x²-y²
3x - 4x - 5x
40. (x+y)²
Positive or Negative
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
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.)
x²+2xy+y²
41. What is the intersection of A and B?
The set of elements found in both A and B.
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.
x^(4+7) = x^11
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
42. (x-y)(x+y)
Pi(diameter)
x²-y²
$3 -500 in the 9% and $2 -500 in the 7%.
31 - 37
43. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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...
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Move the decimal point to the right x places
44. What is the ratio of the sides of an isosceles right triangle?
Negative
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
(distance)/(rate) d/r
1:1:sqrt2
45. -3³
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)
48
4a^2(b)
27
46. Write 10 -843 X 10^7 in scientific notation
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
(x+y)(x+y)
1.0843 X 10^11
A+c<b+c
47. 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?
y/x is a constant
3x - 4x - 5x
= (actual decrease/Original amount) x 100%
9 : 25
48. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The steeper the slope.
2(pi)r
4:5
49. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
2.592 kg
(b + c)
7 / 1000
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
50. Describe the relationship between the graphs of x^2 and (1/2)x^2
D=rt so r= d/t and t=d/r
P= 2L + 2w
The second graph is less steep.
(2x7)³
Sorry!:) No result found.
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