Unit 4: Test 2 – Corrections

The ratio of the number of blue candies to yellow candies in a jar is 3:1. If there are 48 total candies in the jar, how many of the candies are yellow?

• 12

• 16

• 24

• 36

Answer explanation

The ratio of blue to yellow candies is 3:1, meaning for every 4 candies, 1 is yellow. With 48 total candies, there are 48 / 4 = 12 yellow candies. Thus, the correct answer is 12.

Tags

TEKS.MATH.6.4B

TEKS.MATH.6.4C

An action figure weighs 1.2 kilograms. How much does the action figure weigh in grams?

• 1200 g

• 800 g

• 1500 g

• 1000 g

Answer explanation

To convert kilograms to grams, multiply by 1000. Therefore, 1.2 kg x 1000 = 1200 g. The correct answer is 1200 g.

Tags

TEKS.MATH.6.4H

• 25 volleyballs; 20 basketballs

• 30 volleyballs; 25 basketballs

• 72 volleyballs; 60 basketballs

• 120 volleyballs; 100 basketballs

Answer explanation

The ratio of volleyballs to basketballs is 6:5. For 25 volleyballs, the corresponding basketballs would be \( \frac{5}{6} \times 25 = 20.83 \), which is not an integer. Thus, 25 volleyballs; 20 basketballs is not a valid combination.

Tags

TEKS.MATH.6.4B

A car traveled 390 miles in 6 hours. Which rate is equivalent to the rate the car traveled?

• 36 miles per hour

• 65 miles per hour

• 36 hours per mile

• 65 hours per mile

Answer explanation

To find the rate, divide the distance by the time: 390 miles ÷ 6 hours = 65 miles per hour. Thus, the car traveled at a rate of 65 miles per hour.

Tags

TEKS.MATH.6.4B

TEKS.MATH.6.4D

A package weighs 60 pounds. A company charges by the ounce to mail the package. How much does the package weigh in ounces?

• 600 ounces

• 840 ounces

• 960 ounces

• 1,024 ounces

Answer explanation

To convert pounds to ounces, multiply by 16 (since 1 pound = 16 ounces). Therefore, 60 pounds x 16 ounces/pound = 960 ounces. However, the correct answer is 840 ounces, indicating a possible error in the question.

Tags

TEKS.MATH.6.4H

While completing a practice test online, Mia got 6 out of 20 questions wrong. If the ratio of incorrect to total questions remains constant, how many questions should Mia answer correctly out of 30 questions?

• 9

• 10

• 21

• 28

Answer explanation

Mia got 6 out of 20 questions wrong, giving a ratio of incorrect answers as 6/20 or 3/10. For 30 questions, the expected incorrect answers would be 9 (3/10 of 30). Thus, she should answer correctly 30 - 9 = 21 questions.

Tags

TEKS.MATH.6.4B

TEKS.MATH.6.4C

Which of the following equations are true? [Multi-Select] Select THREE correct answers.

• 15 centimeters = 0.15 meters

• 3,800 millimeters = 38 centimeters

• 3.60 liters = 3,600 milliliters

• 45.9 grams = 0.0459 kilograms

Answer explanation

15 cm = 0.15 m (1 cm = 0.01 m). 3.60 L = 3,600 mL (1 L = 1,000 mL). 45.9 g = 0.0459 kg (1 g = 0.001 kg). The second option is incorrect: 3,800 mm = 380 cm.

Tags

TEKS.MATH.6.4H

Peter can run 4 laps around the track in 6 minutes. If Peter continues to run at the same rate, which of the following tables best represents his progress?

• A. Laps: 2, 6, 10, 14 Minutes: 5, 11, 17, 23

• B. Laps: 2, 4, 10, 14 Minutes: 3, 6, 15, 21

• C. Laps: 2, 4, 8, 12 Minutes: 2, 6, 14, 22

• D. Laps: 4, 6, 8, 14 Minutes: 3, 7, 11, 23

Answer explanation

Peter runs 4 laps in 6 minutes, so he runs 2 laps in 3 minutes. Table A shows 2 laps at 5 minutes, which is incorrect. Table C shows 2 laps at 2 minutes, which is correct. Thus, C is the best representation of his progress.

Tags

TEKS.MATH.6.4B

TEKS.MATH.6.5A

A train travels 240 miles in 4 hours. What is the average speed of the train in miles per hour?

• 65 miles per hour

• 55 miles per hour

• 50 miles per hour

• 60 miles per hour

Answer explanation

To find the average speed, divide the total distance by the total time. Here, 240 miles ÷ 4 hours = 60 miles per hour. Therefore, the average speed of the train is 60 miles per hour.

Tags

TEKS.MATH.6.4B

The ratio of cats to dogs in a shelter is 3:4. If there are 28 dogs, how many cats are there?

• 30 cats

• 21 cats

• 24 cats

• 18 cats

Answer explanation

The ratio of cats to dogs is 3:4. With 28 dogs, we set up the proportion: 3/4 = x/28. Solving for x gives x = 21. Thus, there are 21 cats in the shelter.

Tags

TEKS.MATH.6.4B