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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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

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

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.

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