Mathematics Practice Worksheet

What is -3 + (-7)?

• -10

• 4

• 10

• -4

Answer explanation

To solve -3 + (-7), add the two negative numbers together. -3 plus -7 equals -10. Therefore, the correct answer is -10.

Tags

CCSS.7.NS.A.1C

Find the area of a circle with radius 3 ft (use π ≈ 3.14).

• 28.26 square feet

• 18.84 square feet

• 9.42 square feet

• 6.28 square feet

Answer explanation

The area of a circle is calculated using the formula A = πr². For a radius of 3 ft, A = 3.14 * (3)² = 3.14 * 9 = 28.26 square feet. Thus, the correct answer is 28.26 square feet.

Tags

CCSS.7.G.B.4

If a scale drawing shows a building as 3 inches long with a scale of 1 inch = 10 feet, what is the actual length of the building?

• 30 feet

• 13 feet

• 3 feet

• 10 feet

Answer explanation

The scale is 1 inch = 10 feet. If the drawing shows the building as 3 inches long, the actual length is 3 inches x 10 feet/inch = 30 feet. Therefore, the correct answer is 30 feet.

Tags

CCSS.7.RP.A.2C

Convert 0.75 to a fraction.

• 3/4

• 1/2

• 1/4

• 2/3

Answer explanation

To convert 0.75 to a fraction, recognize that 0.75 is equivalent to 75/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 3/4, which is the correct answer.

Find the mean of the data set: 4, 8, 6, 10, 2.

• 6

• 5

• 8

• 4

Answer explanation

To find the mean, add all the numbers: 4 + 8 + 6 + 10 + 2 = 30. Then divide by the number of values (5): 30 / 5 = 6. Thus, the mean of the data set is 6.

Tags

CCSS.6.SP.B.5C

A triangle has angles measuring 35° and 65°. What is the measure of the third angle?

• 80°

• 90°

• 100°

• 70°

Answer explanation

The sum of angles in a triangle is 180°. Given angles are 35° and 65°. Adding these gives 100°. Subtracting from 180°: 180° - 100° = 80°. Thus, the third angle measures 80°.

Tags

CCSS.8.G.A.5

If a number cube is rolled, what is the probability of getting a number less than 5?

• 2/3

• 1/2

• 1/3

• 1/6

Answer explanation

A number cube has 6 faces (1 to 6). The numbers less than 5 are 1, 2, 3, and 4, totaling 4 favorable outcomes. The probability is 4 out of 6, which simplifies to 2/3. Thus, the correct answer is 2/3.

Tags

CCSS.7.SP.C.7B

Convert the complex fraction 3/4 to a decimal and solve a simple problem with it. What is 3/4 as a decimal?

• 0.75

• 0.5

• 1.25

• 0.6

Answer explanation

To convert 3/4 to a decimal, divide 3 by 4, which equals 0.75. Therefore, the correct answer is 0.75.

Simplify the ratio 15:45.

• 1:3

• 3:1

• 5:2

• 2:5

Answer explanation

To simplify the ratio 15:45, divide both numbers by their greatest common divisor, which is 15. This gives 15 ÷ 15 = 1 and 45 ÷ 15 = 3, resulting in the simplified ratio of 1:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

A recipe calls for 3 cups of flour to 2 cups of sugar. How much sugar is needed for 6 cups of flour?

• 4 cups

• 3 cups

• 2 cups

• 6 cups

Answer explanation

The ratio of flour to sugar is 3:2. For 6 cups of flour, set up a proportion: (6 cups flour) / (3 cups flour) = (x cups sugar) / (2 cups sugar). Solving gives x = 4 cups of sugar.

Tags

CCSS.6.RP.A.3B