ISEE Upper Level Mathematics Achievement Flashcards: Area And Perimeter

What this deck covers

This deck focuses on Area And Perimeter, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Upper Level Mathematics Achievement.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the area of a triangle with $b=14$ and $h=5$?

Answer: $A=35$. Compute half the product of the given base and height using the triangle area formula.

Flashcard 2: State the formula for the perimeter of a rectangle with length $l$ and width $w$.

Answer: $P=2l+2w$. The perimeter is twice the sum of the length and width, accounting for all four sides.

Flashcard 3: State the formula for the area of a circle with radius $r$.

Answer: A=pir^2. The area is $pi$ times the radius squared, quantifying the enclosed circular space.

Flashcard 4: What is the perimeter of a rectangle with $l=9$ and $w=4$?

Answer: $P=26$. Apply the rectangle perimeter formula with given length and width values.

Flashcard 5: State the formula for the area of a square with side length $s$.

Answer: $A=s^2$. The area is the side length squared due to the equal sides forming a square region.

Flashcard 6: State the formula for the circumference of a circle with radius $r$.

Answer: C=2pir. The circumference is twice the product of $pi$ and the radius, measuring the boundary length.

Flashcard 7: What is the perimeter of a semicircle with radius $r=4$? (Include the diameter; leave in terms of pi.)

Answer: P=4pi+8. Add the semicircular arc length ($pi r$) to the diameter ($2r$) for the total perimeter.

Flashcard 8: What is the area of a parallelogram with $b=13$ and $h=4$?

Answer: $A=52$. Multiply the given base and height using the parallelogram area formula.

Flashcard 9: What is the area of a regular hexagon if it is split into $6$ equilateral triangles of area $12$ each?

Answer: $A=72$. Multiply the area of one equilateral triangle by six for the total hexagonal area.

Flashcard 10: What is the perimeter of a regular hexagon with side length $s=9$?

Answer: $P=54$. Multiply the side length by six, as a regular hexagon has six equal sides.

Flashcard 11: State the formula for the area of a triangle with base $b$ and height $h$.

Answer: A=frac{1}{2}bh. The area is half the product of base and height, derived from dividing a parallelogram.

Flashcard 12: What is the circumference of a circle with diameter $d=10$? (Leave in terms of pi.)

Answer: C=10pi. Use the circumference formula with radius half of the given diameter.

Flashcard 13: What is the area of a square with side length $s=11$?

Answer: $A=121$. Square the side length according to the square area formula.

Flashcard 14: State the formula for the area of a rhombus with diagonals $d_1$ and $d_2$.

Answer: A=frac{1}{2}d_1d_2. The area is half the product of the diagonals, which bisect each other at right angles.

Flashcard 15: What is the area of a trapezoid with $b_1=8$, $b_2=12$, and $h=5$?

Answer: $A=50$. Average the bases, multiply by height, and halve using the trapezoid area formula.

Flashcard 16: What is the perimeter of a square with side length $s=7$?

Answer: $P=28$. Multiply the side length by four using the square perimeter formula.

Flashcard 17: State the formula for the perimeter of a square with side length $s$.

Answer: $P=4s$. The perimeter is four times the side length since all sides are equal.

Flashcard 18: What is the area of a rectangle with $l=12$ and $w=3$?

Answer: $A=36$. Multiply the given length and width using the rectangle area formula.

Flashcard 19: What is the area of a rhombus with diagonals $d_1=10$ and $d_2=8$?

Answer: $A=40$. Take half the product of the given diagonals using the rhombus area formula.

Flashcard 20: State the formula for the area of a parallelogram with base $b$ and height $h$.

Answer: $A=bh$. The area is the product of base and height, as opposite sides are parallel.

Flashcard 21: What is the perimeter of a triangle with side lengths $5$, $12$, and $13$?

Answer: $P=30$. Sum the given side lengths to find the total boundary of the triangle.

Flashcard 22: What is the area of a circle with radius $r=6$? (Leave in terms of pi.)

Answer: A=36pi. Apply the circle area formula by squaring the given radius and multiplying by $pi$.

Flashcard 23: State the formula for the area of a rectangle with length $l$ and width $w$.

Answer: $A=lw$. The area is the product of length and width, representing the space enclosed.

Flashcard 24: State the formula for the area of a trapezoid with bases $b_1,b_2$ and height $h$.

Answer: A=frac{1}{2}(b_1+b_2)h. The area is half the sum of the bases times height, averaging the parallel sides.