GRE Math Question Bank In the form of 5 Practice Tests(2025)

Solve a two-variable algebra word problem about potatoes and tomatoes from a fixed total, deriving that five potatoes and seven tomatoes were bought.

Solve a linear equation by combining like terms and isolating x to determine its value. The steps simplify 8x-18=7x-12 to x=6.

calculate the future value of a five-year bond with principal 5000 at 2.5% annually compounded, using the formula B = P(1 + r)^t, yielding about 5657.

Compute the difference between the third-year interest and the second-year interest on a 7500 deposit at 3.5 percent compounded annually for three years, yielding about 9.5.

Identify the domain as x coordinates and the range as y coordinates; the example shows a three-unit range, so the last option is correct.

Calculate the average speed for a round trip with speeds 600 mph and 300 mph, using total distance and total time to arrive at 400 mph.

Apply inverse variation to a two-person, 14-day supply problem and determine how long seven people can share the same supplies. Conclude that the supplies last four days for seven people.

Solve a GRE math question bank item about Fran and Jen's chickens using two equations and substitution to determine how many chickens Fran had before giving away two.

solve a ratio problem using a 1:3 cars-to-trucks ratio with 51 trucks to determine how many cars are on sale. conclude that 17 cars are on sale.

Solve a GRE math problem by calculating money per student from team money and student counts, using ratio analysis, to derive a final per-student amount of 5/4.

On the coordinate plane, this lecture demonstrates solving the intersection of lines y = x + 3 and y = 2x + 5, yielding intersection point (-2, 1).

Compute the perimeter of a right-angled figure by adding the given sides 10 feet, 3 feet, 15 feet, and 7 feet, including repeated edges, with a clear explanation.

Solve a GRE geometry question by equating garden and wall areas, using squares to find that ABCDE's area is 49 and each adjoining region measures 24.5.

Apply the triangle angle-sum principle of 180 degrees to solve for angle x. Compute 30 + x + 65 = 180 to obtain x = 85 degrees.

Determine that in an isosceles triangle with a 110-degree angle, the other two angles are equal and sum to 70 degrees, so each angle is 35 degrees.

Compute the perimeter of an acute isosceles triangle with base 12 feet and equal sides 60 feet, yielding a total perimeter of 132 feet.

Calculate the arc length of a sector with central angle 72 degrees and radius five as one-fifth of the circle, then add the two radii to find the sector’s perimeter.

Doubling the radius quadruples the circle’s area, showing that the new area is four times the original.

Solve a circle-proportion problem to find the degree angle for the blue shirt section using six of twenty-five shirts and 360 degrees, yielding 86.4 degrees.

Interpret the graph showing the distribution of total acquisition by speciality, identify sectors exceeding 40000 prediction, and compute that 20 percent corresponds to pediatrics, internal medicine, and surgery.

Identify how nine of eleven beverage and drug categories have caffeine under 50 mg in the given 5 oz and 12 oz serving sizes.

Learn how to maximize the number of pens within a $25 budget using $2 and $3 pens, showing that 11 two-dollar pens and 1 three-dollar pen is optimal.

Explore parallel lines cut by a transversal, apply alternate interior angles, and determine an angle of 17.5 degrees from 35 degrees.

Solve for last summer earnings by setting 630 as 15 percent of earnings, yielding 4200, then subtract 630 to get 3570, and show that the two quantities are equal.

Compute gross profit for a pen maker with tiered costs: $6 for the first 200 pens and $4.50 for the rest, sold at $9 per pen, yielding $4,200.

Translate the tax-deduction word problem into algebra by applying percent deductions to salary, compute Alice's remaining earnings, and show the right answer is option E.

Add a constant to every data point does not change the standard deviation; the mean rises by 3, so the new dataset keeps the same spread, making option c correct.

Compute property tax as B percent of assessed value with P as the constant; the solution yields 3,200 dollars and compares it to 3,000, showing 3,200 is greater.

Compute the perimeter of a 24-meter-wide rectangular playground by equating its area to a 64-by-48 rectangle, finding length 128 meters and a perimeter of 304 meters.

Identify the feasible third side lengths for a triangle with sides five and nine, as the caption indicates the possible values are five and eight.

Compare dollar values of the Argentine peso and Kenyan shilling via reciprocals. The solution computes 1 peso and 1 shilling values and shows which is larger.

Explore a GRE set-counting problem using union and intersection, showing that the total inside A or B or both leads to the two quantities both equal 170.

Determine Arthur's current dollars by solving a linear equation: Arthur is ten dollars more than John, and after Arthur gives three dollars to John, Arthur's amount is twice John's.

Compute how many tiles of area 49 square inches cover a 98 by 49 inch floor by deriving a 7 inch tile side and a 7 by 14 grid.

Provides a step-by-step solution and explanation for a GRE math inequality question, comparing expressions with B greater than one and exponents to show one quantity exceeds the other.

Solve a payroll problem using a 4:3 professor-to-administrator ratio, with salaries of 40,000 and 45,000, to determine how many professors the college has.

Solve a ratio problem where 16 to g equals d to 49; g equals ±28, compare with quantity b 28, and conclude relationship cannot be determined from the information given.

Explore a ratio-based mixing problem where equal amounts of party cranberry and fancy lemonade are combined, then compare the cranberry fraction in the final mix to another fraction.

Compute the distance between 1 and 8 on a number line, showing the difference equals seven and explaining how the distance measures their separation.

Interpret a number-line interval with open and closed circles to determine the solution; the range lies between one and eight with eight excluded, so six point five is correct.

Rewrite the first line as y = (1/3)x + 4/5 to identify its slope m = 1/3; the line parallel to the second has slope -1/3, so the first is greater.

Identify which regular polygons have exterior angles that are not integers by calculating 360 divided by the number of sides for each option, confirming 80 sides yields a non-integer.

Apply the triangle area formula with base eight and height six to compute the area. The result is 24.

Calculate x as the angle for one-tenth of a circle, yielding x = 36 degrees and 2x = 72 degrees; compare with B = 75 to conclude B exceeds 2x.

Compute arc AC from the 80-degree sector of a circle with diameter 36, yielding 8π. Then subtract from the full circumference 36π to get arc ABC = 28π.

Determine when red and blue lights flash together again by analyzing the 6-second and 10-second cycles, yielding 30 seconds as the next joint flash.

Calculate the sales tax rate from $0.02 per $50 and express it as a percentage using rate divided by total amount times 100.

analyze a GRE math question about 9000 attendees, distinguishing college and non‑college students, and show the two quantities are equal, with the total expressed as 9000 minus x minus y.

Explain question 4 solution: shaded region equals half the rectangle's area, computed as length times breadth; length 12 and breadth 6 give 72, half is 36, equals quantity b.

The lecture explains a circle diameter problem where Abby's diameter equals the average of EC and 80, showing EC is less than Abby.

Solve a GRE math ratio problem: online vs in-store purchases, given online share is 55%, compute the ratio online to in-store as 11:9.

Explain how two machines with constant production rates yield X units in 30 and 48 minutes, then compare their four-hour outputs to determine which quantity is greater.

Calculate the total stopping distance at 40 mph by summing the reaction distance and braking distance from the graphs, yielding about 133 ft (approximately 130).

Solve a GRE math question about income growth from 2003 to 2004, where 2004 income is 20 percent higher, using algebra to derive the income ratio and identify option C.

Explore the gre math question bank by solving a square problem: calculate the side length from its perimeter and from its area, yielding 7.5 and sqrt(30) ≈ 5.47. Compare lengths.

determine the domain and range from the shown points: domain x-values are -2, -1, 0, 1, 2 and range y-values are 0, 1, 2, 3, 4.

Determine the hexagon's perimeter from side length: 10 cm sides give 60 cm. Evaluate data sufficiency: statement 1 alone is sufficient, statement 2 alone is not.

Compute the perimeter of an isosceles triangle with two sides of 43 inches and base 86 inches, yielding 172 inches.

Derive x from the relation 3x = 5y for nonzero x and y. Substitute into 4x^2/(25y^2) and simplify to obtain 4/9.