1.
There are 12 trucks and 5 cars. What is the ratio of trucks to cars?
Correct Answer
B. 12:5
Explanation
The ratio of trucks to cars is 12:5 because there are 12 trucks and 5 cars.
2.
At the local zoo, there are 4 penguins, 8 parrots, and 3 monkeys. What is the ratio of monkeys to total animals?
Correct Answer
A. 3/15
Explanation
The ratio of monkeys to total animals can be found by dividing the number of monkeys (3) by the total number of animals (4+8+3=15). Therefore, the ratio is 3/15.
3.
There are 5 red cars, 6 blue cars, 8 silver cars, and 4 black cars. What is the ratio of blue cars to black cars?
Correct Answer
C. 6:4
Explanation
The ratio of blue cars to black cars is 6:4. This means that for every 6 blue cars, there are 4 black cars.
4.
There are:
12 trucks
5 cars
16 vans
3 monkeys
4 penguins
8 parrots
What is the ratio of vehicles (all motorized machines for transportation) to total animals?
Correct Answer
A. 33 to 15
Explanation
The ratio of vehicles to total animals can be calculated by adding up the number of vehicles (12 trucks, 5 cars, and 16 vans) and dividing it by the total number of animals (3 monkeys, 4 penguins, and 8 parrots). This gives us a ratio of 33 to 15.
5.
Which of the following ratios is equivalent to 3/5?
Correct Answer
B. 9/15
Explanation
The ratio 3/5 is equivalent to the ratio 9/15 because both ratios simplify to 3/5 when divided by their greatest common divisor, which is 3.
6.
Are the following ratios equivalent? 2:3 and 6:9 Remember, you need to rewrite these ratios in fraction form to solve this problem.
Correct Answer
A. Yes
Explanation
The given ratios 2:3 and 6:9 are equivalent because when we rewrite them in fraction form, we get 2/3 and 6/9 respectively. By simplifying the fraction 6/9, we can see that it is equal to 2/3. Therefore, the ratios are equivalent.
7.
Which of the following ratios is equivalent to 8/9?
Correct Answer
B. 24/27
Explanation
The ratio 8/9 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 1. Therefore, the simplified ratio is 8/9. The ratio 24/27 can also be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3. This results in the simplified ratio of 8/9. Thus, the ratio 24/27 is equivalent to 8/9.
8.
Reduce the following ratio to lowest terms 6/12.
Correct Answer
B. 1/2
Explanation
The given ratio 6/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6. When we simplify, we get the ratio 1/2. This means that the fraction 6/12 is equivalent to 1/2.
9.
Find the value of n in this proportion.
Correct Answer
B. 20
Explanation
In a proportion, the two ratios are equal. In this case, the ratio of 300 to 20 is equal to the ratio of 150 to n. To find the value of n, we can set up the equation 300/20 = 150/n. Cross multiplying, we get 300n = 20 * 150. Dividing both sides by 300, we find that n = 20.
10.
Find the value of n in this proportion.
Correct Answer
C. 48
Explanation
In this proportion, the value of n can be found by comparing the ratios of the numbers. The ratio between 3 and 36 is the same as the ratio between 36 and 48. By setting up the proportion 3/36 = 36/48, we can cross multiply and solve for n. Multiplying 3 by 48 gives us 144, and multiplying 36 by n gives us 36n. Setting these equal to each other, we get 144 = 36n. Dividing both sides by 36, we find that n is equal to 4. Therefore, the value of n in this proportion is 48.
11.
Which of the following statements is true regarding equivalent ratios.
Correct Answer
A. Equivalent ratios always have equal cross products.
Explanation
Equivalent ratios are ratios that represent the same relationship between two quantities. When two ratios are equivalent, their cross products, which are obtained by multiplying the numerator of one ratio by the denominator of the other ratio, are always equal. This is because the cross products represent the same value in both ratios, ensuring that the ratios are equivalent. Therefore, the statement "Equivalent ratios always have equal cross products" is true.