Test - LEAP 2025 Math Grade 8 Post Test

1 pt

A shape with an area of $15.2 f t^{2}$ goes through the 2 transformations listed below.

• rotate 900 around its center

• translate 5 units down

What is the area, in square feet, of the shape after the two transformations?

15.2

20.2

105.2

115

1 pt

For each equation, is y a linear or non-linear function of x?

Reset
	Linear	Non-Linear
$y = 6 \times 5 x$
$y = {(3 x + 6)}^{2}$
$y = 3 x^{2}$
$y = \frac{1}{x} + 2$
$y = 3 x - 5$
$y = \frac{x}{4}$

1 pt

In the diagram below, lines a, b, and c are parallel and lines d and e intersect at line b. Which equation cannot be true?

m ∠2 = 180° – m ∠7

m ∠3 + m ∠5 = m ∠7

m ∠2 = m ∠4 + 90°

m ∠5 + m ∠3 = m ∠7

1 pt

14.

Celine draws the triangle on the graph below. Then she transforms it.

• First, she dilates it by a scale factor greater than 1, centered at the origin.

• Then, she rotates it.

• Finally, she dilates it by a factor less than 1, centered at the origin.

Which statement best describes the figure after the transformations?

It must be both similar and congruent to the original triangle.

It must be similar and could be congruent to the original triangle.

It could be similar and must be congruent to the original triangle.

It cannot be similar or congruent to the original triangle.

1 pt

15.

Which statement best describes the value of $\sqrt{11}$ ?

The value of $\sqrt{11}$ is between 2 and 2.5.

The value of $\sqrt{11}$ is between 2.5 and 3.

The value of $\sqrt{11}$ is between 3 and 3.5.

The value of $\sqrt{11}$ is between 3.5 and 4.

1 pt

31.

Part A.

Which of the following describes the transformation that changes Figure JKLMNP into Figure J′ K′ L′ M′ N′ P′ ?

a rotation 180° about the origin

a reflection across the y-axis followed by a reflection across the x-axis.

a reflection over the line x = y

a reflection over the line y = –x

1 pt

Part B.

The two triangles below are similar. Which of the following describes the sequence that exhibits the similarity between them?

reflection across the y-axis

reflection across the x-axis

reflection across the line y = 0

reflection across the line x = 1

1 pt

34.

Which expressions are equivalent to $\frac{2^{- 6}}{2^{- 4}}$

Select all that apply.

$2^{- 10}$

$\frac{1}{4}$

$2^{2}$

$\frac{1}{2^{- 2}}$

$\frac{1}{2^{2}}$

$2^{- 2}$

1 pt

35.

Which equation shows the sum of the areas of the triangles and the smaller square is equal to the area of the larger square?

$4 a b + c^{2} = a^{2} + b^{2}$

$4 a b + c^{2} = {(a + b)}^{2}$

$2 a b + c^{2} = a^{2} + b^{2}$

$4 (\frac{1}{2} a b) + c^{2} = {(a + b)}^{2}$

1 pt

38.

Mr. Cruz is building ramp.

The height of the ramp will be most nearly . . .

12 feet

14 feet

16 feet

18 feet

LEAP 2025 Math Grade 8 Post Test

LEAP 2025 Math Grade 8 Post Test Sample