GRE math Practice Study Guide Questions with
Distinction level Marking scheme version 2024/2025
An angle that's 180° - correct answer straight angle
The sum of all angles around a point - correct answer 360°
If one of the angles formed by an intersection is right, they're all right - correct
answer true
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 - correct answer 180
Distance - correct answer (rate)(time) d=rt
Rate - correct answer d/t (distance)/(time)
Time - correct answer (distance)/(rate) d/r
Average - correct answer sum/n
Sum of numbers in an average - correct answer n/average
The total deviation below the average is equal to - correct answer the total
deviation above the average (80, 90, 90, 90, 100)
, Assume that the average of a set of numbers is a. If a number x is added to
the set and a new average is calculated, then the new average will be less
than, equal to, or greater than a, depending on whether x is less than, equal to
, or greater than a, respectfully. - correct answer 1+2+3/3=2
1+2+3+4/4=10/4=2.5
If "n" is even, the average of the numbers is the average of what? - correct
answer the middle two terms (10, 20, 30, 40, 50, 60) 30+40/2=35
To calculate the weighted average: multiply each number in the set by the
number of times it appears, add all the products, and divide by the total
number of numbers in the set. - correct answer ...
In a set of n numbers that are arranged in increasing order, it is the middle
number, if n is odd or the average of the middle two if it is even. - correct
answer median
It is the number in the set that occurs most often - correct answer mode
Ratios: if a set of objects is divided into 2 groups in the ratio of a:b, then the
first group contains - correct answer a/a+b and the second group contains
b/a+b of the objects. 4:6 becomes 4/4+6=4/10=2/5 6/4+6=6/10=3/5
If two numbers are in the ratio of a:b (2:4), then for some number x (3), the
first number is ax (2x3) and the second number is bx (4x3). If the ratio is in the
lowest terms, and if the quantities must be integers, then x(3) is also an
integer. - correct answer 2(3)+4(3)=6(3)
If a set of objects is divided into 3 groups in the radio a:b:c, then the first group
contains a/a+b+c, second group contains b/a+b+c, etc. - correct answer
2:3:4
Distinction level Marking scheme version 2024/2025
An angle that's 180° - correct answer straight angle
The sum of all angles around a point - correct answer 360°
If one of the angles formed by an intersection is right, they're all right - correct
answer true
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 - correct answer 180
Distance - correct answer (rate)(time) d=rt
Rate - correct answer d/t (distance)/(time)
Time - correct answer (distance)/(rate) d/r
Average - correct answer sum/n
Sum of numbers in an average - correct answer n/average
The total deviation below the average is equal to - correct answer the total
deviation above the average (80, 90, 90, 90, 100)
, Assume that the average of a set of numbers is a. If a number x is added to
the set and a new average is calculated, then the new average will be less
than, equal to, or greater than a, depending on whether x is less than, equal to
, or greater than a, respectfully. - correct answer 1+2+3/3=2
1+2+3+4/4=10/4=2.5
If "n" is even, the average of the numbers is the average of what? - correct
answer the middle two terms (10, 20, 30, 40, 50, 60) 30+40/2=35
To calculate the weighted average: multiply each number in the set by the
number of times it appears, add all the products, and divide by the total
number of numbers in the set. - correct answer ...
In a set of n numbers that are arranged in increasing order, it is the middle
number, if n is odd or the average of the middle two if it is even. - correct
answer median
It is the number in the set that occurs most often - correct answer mode
Ratios: if a set of objects is divided into 2 groups in the ratio of a:b, then the
first group contains - correct answer a/a+b and the second group contains
b/a+b of the objects. 4:6 becomes 4/4+6=4/10=2/5 6/4+6=6/10=3/5
If two numbers are in the ratio of a:b (2:4), then for some number x (3), the
first number is ax (2x3) and the second number is bx (4x3). If the ratio is in the
lowest terms, and if the quantities must be integers, then x(3) is also an
integer. - correct answer 2(3)+4(3)=6(3)
If a set of objects is divided into 3 groups in the radio a:b:c, then the first group
contains a/a+b+c, second group contains b/a+b+c, etc. - correct answer
2:3:4
