HSPT Prep 6

Front

3/4 of what number is 6 times 4?

Back

To find the number, set up the equation: (3/4)x = 6 * 4. Solve for x: x = (6 * 4) / (3/4) = 32.

Front

Compare the values: (A) 0.4, (B) 4%, (C) 2/5. Which statement is true?

Back

(A) is equal to (C) and greater than (B). (0.4 = 2/5 = 40%, and 4% = 0.04).

Front

If a flagpole has a shadow 56 feet long when a 6-foot man's shadow is 14 feet long, what is the height of the flagpole?

Back

Use the ratio of heights to shadows: height of flagpole / 56 = 6 / 14. Solve for height: height = (6/14) * 56 = 24 feet.

Front

What number comes next in the series: 50, 48, 52, 50, 54, 52, ...?

Back

The pattern alternates: -2, +4, -2, +4. The next number is 56.

Front

What number comes next in the series: 4, 5, 8, 11, 12, 15, 18, 19, ...?

Back

The pattern is: +1, +3, +3, +1, +3, +3. The next number is 22.

Front

What is the formula for finding the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for finding the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Front

What is the relationship between fractions and decimals?

Back

Fractions can be converted to decimals by dividing the numerator by the denominator.

Front

What is the concept of ratios?

Back

A ratio compares two quantities, showing the relative size of one quantity to another.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value.