Test - LEAP 2025 Math Grade 8 Pre Test

LEAP 2025 Math Grade 8 Pre Test Sample

1 pt

A rectangle with an area of 35.2 square feet goes through the two transformations listed below.

• Translate 5 units down

• Rotate counterclockwise 90 around its center

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

35.2

49.2

105.2

352

1 pt

Which point on the number line is the best approximation for $\sqrt{7}$ ?

1 pt

Part B.

$y = 5 x + 5 y = 1 + 5 x$

No Solution

One Solution

Many Solutions

1 pt

16.

Solve for x.

$\frac{2}{3} (x + 3) = \frac{1}{3} x - 5$

x = 3

x = –3

x = –12

x = –21

1 pt

17.

Which expressions are equivalent to $2^{4}$

$3^{2} - 1$

$3 \times 4$

$2^{2} \times 2^{2}$

${(2^{2})}^{2}$

$2 \times 2 \times 2$

${(2^{1})}^{4}$

1 pt

33.

Line m and triangle ABC are shown on the graph below.

Greg is creating triangle DEF to be similar to triangle ABC. Each side of triangle DEF is parallel to one side of triangle ABC. Select the point that could be the location of point F.

(4, 2)

(3, –3)

(5, –1)

(6, –2)

1pt

36.

Order the linear functions base on rate of change, from least to greatest.

1 pt

38.

Brent is making a podium in the shape of a rectangular prism. He puts a diagonal brace from the upper back corner to the lower front corner of the podium, as represented by the dashed line in the figure below.

What is the approximate length of the diagonal brace, rounded to the nearest tenth of a foot?

6.2

6.3

6.4

6.6

1 pt

39.

Which expression is equivalent to $\frac{3^{- 2}}{3^{- 4}}$ ?

$3^{2}$

$\frac{1}{3^{2}}$

$3^{6}$

$\frac{1}{3^{6}}$

1 pt

40.

The figure shows a right-circular cylinder and a right-circular cone. The cylinder and the cone have the same base and the same height.

Part A.

What is the volume of the cone, in cubic feet?

10π

24π

36π

48π

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