Crystal mixed orange juice, fruit punch concentrate, and ginger ale in the ratio of 2:2:4 to makea special drink. To make 4 liters, how much of each ingredient should she use?

1L orange, 1L punch, 2L ginger ale

2L orange, 2L punch, 4L ginger ale

8L orange, 8L punch, 16L ginger ale

2L orange, 1L punch, 1L ginger ale

One out of three students in the school owns a cat. Of these students one out of two owns afish. What fraction of the students owns both a cat and a fish?

1/6 of all students own both a cat and a fish.

1/2 of all students own both a cat and a fish.

5/6 of all students own both a cat and a fish.

3/4 of all students own both a cat and a fish.

1/4 of all students own both a cat and a fish.

Exemption Test In Mathematics 6

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| By KENTLOYOLA

KENTLOYOLA

Community Contributor

Quizzes Created: 2 | Total Attempts: 117

Questions: 15 | Attempts: 68 | Updated: Jul 26, 2023

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October 15-16, 2015 (Thursday-Friday)
CGA Grade 6 Pupils Only!

Questions and Answers

1.

Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 greenmarbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.
- A.
  
  35:25
- B.
  
  7:5
- C.
  
  25:35
- D.
  
  5:7
- E.
  
  6:5
Correct Answer
B. 7:5

Explanation
The ratio of red marbles to green marbles is 7:5. This is because there are 35 red marbles and 25 green marbles, and when simplified, the ratio becomes 7:5.

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2.

If it costs $90 to feed a family of 3 for one week, how much will it cost to feed a family of 5 forone week?
- A.
  
  $180.00
- B.
  
  $30.00
- C.
  
  $120.00
- D.
  
  $150.00
Correct Answer
D. $150.00

Explanation
To find the cost of feeding a family of 5 for one week, we can use the concept of proportion. The cost of feeding a family of 3 is given as $90, so we can set up a proportion: 3/5 = 90/x, where x represents the cost of feeding a family of 5. By cross-multiplying, we get 3x = 450, and dividing both sides by 3, we find that x = 150. Therefore, it will cost $150 to feed a family of 5 for one week.

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3.

In a school there are four boy scouts to every three girl scouts. If there are forty-two girl scouts,how many boy scouts are there?
- A.
  
  56 boy scouts
- B.
  
  56 girl scouts
- C.
  
  31.5 girl scouts
- D.
  
  31.5 boy scouts
- E.
  
  48 boy scouts
Correct Answer
A. 56 boy scouts

Explanation
If there are four boy scouts for every three girl scouts, and there are forty-two girl scouts, we can find the number of boy scouts by using proportions. We can set up the proportion: 4 boy scouts / 3 girl scouts = x boy scouts / 42 girl scouts. Solving for x, we find that x = (4/3) * 42 = 56. Therefore, there are 56 boy scouts.

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4.

To make green paint, Jack mixes yellow paint and blue paint in the ratio of three to two. If heused twelve gallons of yellow paint, how much blue paint did he use?
- A.
  
  4
- B.
  
  6
- C.
  
  7
- D.
  
  8
- E.
  
  12
Correct Answer
D. 8

Explanation
Jack mixes yellow paint and blue paint in the ratio of three to two. This means that for every three gallons of yellow paint, he uses two gallons of blue paint. If he used twelve gallons of yellow paint, he would need to use eight gallons of blue paint (12/3 * 2 = 8). Therefore, the correct answer is 8.

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5.

On a triangle, each side measures 5 cm, 10 cm, and 30 cm, respectively. In lowest terms, findthe ratios of the lengths of the sides.
- A.
  
  1:2:6
- B.
  
  5:10:30
- C.
  
  5:1:3
- D.
  
  5/10/30
Correct Answer
A. 1:2:6

Explanation
The given triangle has sides measuring 5 cm, 10 cm, and 30 cm. To find the ratios of the lengths of the sides in lowest terms, we can divide each side length by the greatest common divisor of all three sides. The greatest common divisor of 5, 10, and 30 is 5. Dividing each side length by 5, we get 1 cm, 2 cm, and 6 cm. Therefore, the ratios of the lengths of the sides in lowest terms are 1:2:6.

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6.

Crystal mixed orange juice, fruit punch concentrate, and ginger ale in the ratio of 2:2:4 to makea special drink. To make 4 liters, how much of each ingredient should she use?
- A.
  
  2L orange, 2L punch, 4L ginger ale
- B.
  
  8L orange, 8L punch, 16L ginger ale
- C.
  
  2L orange, 1L punch, 1L ginger ale
- D.
  
  1L orange, 1L punch, 2L ginger ale
Correct Answer
D. 1L orange, 1L punch, 2L ginger ale

Explanation
To make the special drink, Crystal needs to mix the orange juice, fruit punch concentrate, and ginger ale in a ratio of 2:2:4. This means that for every 2 parts of orange juice, she needs 2 parts of fruit punch concentrate and 4 parts of ginger ale. Since she wants to make 4 liters of the drink, she needs to divide the total amount into these ratios. Therefore, she should use 1 liter of orange juice, 1 liter of fruit punch concentrate, and 2 liters of ginger ale to make the special drink.

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7.

A rectangle measures 20cm at its width and 5 cm at its length. Find the ratio of the length tothe width to the perimeter of the rectangle in lowest form.
- A.
  
  1:4:10
- B.
  
  4:1:10
- C.
  
  5:20:50
- D.
  
  20:5:50
- E.
  
  None of the above
Correct Answer
A. 1:4:10

Explanation
The ratio of the length to the width to the perimeter of the rectangle is 1:4:10. This can be determined by dividing the length by the width, which gives a ratio of 1:4. To find the ratio of the perimeter, we add the length and width and multiply by 2, which gives a ratio of 10. Therefore, the correct answer is 1:4:10.

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8.

Brandon received $50 dollars for his paper route. He spent $20 dollars at the movies, and $10dollars buying comic books then after buying $5 worth of popcorn, he saved the rest. What is theratio of the amount of money spent buying comic books and popcorn, to the amount that saved?
- A.
  
  10:5:15
- B.
  
  15:15
- C.
  
  1:1
- D.
  
  2:1:3
- E.
  
  1:2:3
Correct Answer
C. 1:1

Explanation
Brandon spent a total of $10 on comic books and $5 on popcorn, which adds up to $15. He saved the rest of the money, which is $50 - $15 = $35. Therefore, the ratio of the amount of money spent on comic books and popcorn to the amount saved is 15:35, which simplifies to 1:2. The given answer, 1:1, is incorrect.

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9.

78 children attended a trip to the fair. 60 of them were girls. Find the ratio of the number ofgirls to boys.
- A.
  
  60:18
- B.
  
  18:60
- C.
  
  10:3
- D.
  
  60:78
- E.
  
  3:10
Correct Answer
C. 10:3

Explanation
The ratio of the number of girls to boys can be found by dividing the number of girls by the number of boys. In this case, we know that there were 78 children in total and 60 of them were girls. Therefore, the number of boys can be found by subtracting the number of girls from the total number of children: 78 - 60 = 18. So, the ratio of girls to boys is 60:18, which simplifies to 10:3.

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10.

In Canada there is one car for every 19 people. How many car tires per person are there?
- A.
  
  2:1
- B.
  
  4:1
- C.
  
  40:19
- D.
  
  None of the above
Correct Answer
D. None of the above

Explanation
The question asks for the number of car tires per person in Canada. However, none of the given options provide a ratio or number that represents the number of car tires per person accurately. Therefore, the correct answer is "None of the above".

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11.

One out of three students in the school owns a cat. Of these students one out of two owns afish. What fraction of the students owns both a cat and a fish?
- A.
  
  1/6 of all students own both a cat and a fish.
- B.
  
  1/2 of all students own both a cat and a fish.
- C.
  
  5/6 of all students own both a cat and a fish.
- D.
  
  3/4 of all students own both a cat and a fish.
- E.
  
  1/4 of all students own both a cat and a fish.
Correct Answer
A. 1/6 of all students own both a cat and a fish.

Explanation
Since one out of three students in the school owns a cat, we can say that the fraction of students who own a cat is 1/3. Of these students, one out of two owns a fish, which means the fraction of students who own both a cat and a fish is 1/2 of 1/3, which simplifies to 1/6. Therefore, 1/6 of all students own both a cat and a fish.

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12.

Find the value of N.N:8 = 3:4
- A.
  
  5
- B.
  
  4
- C.
  
  6
- D.
  
  3
Correct Answer
C. 6

Explanation
In the given equation, N.N:8 = 3:4, the ratio of N.N to 8 is equal to the ratio of 3 to 4. To find the value of N.N, we can set up a proportion. Cross multiplying, we get N.N * 4 = 3 * 8. Simplifying further, we have N.N = 24/4, which equals 6. Therefore, the value of N.N is 6.

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13.

Find the value of N.18N:54 = 12:9
- A.
  
  5
- B.
  
  6
- C.
  
  2
- D.
  
  4
Correct Answer
D. 4

Explanation
In the given equation, 18N:54 = 12:9, we can simplify it by dividing both sides by 6. This gives us 3N:9 = 2:3. Since the ratio on the left side is in terms of N, we can see that N must be equal to 2. Therefore, the correct answer is 4, as N is equal to 2.

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14.

True or False3:4 is greater than 5:8
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Exemption Test In Mathematics 6

Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 greenmarbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.

If it costs $90 to feed a family of 3 for one week, how much will it cost to feed a family of 5 forone week?

In a school there are four boy scouts to every three girl scouts. If there are forty-two girl scouts,how many boy scouts are there?

To make green paint, Jack mixes yellow paint and blue paint in the ratio of three to two. If heused twelve gallons of yellow paint, how much blue paint did he use?

On a triangle, each side measures 5 cm, 10 cm, and 30 cm, respectively. In lowest terms, findthe ratios of the lengths of the sides.

Crystal mixed orange juice, fruit punch concentrate, and ginger ale in the ratio of 2:2:4 to makea special drink. To make 4 liters, how much of each ingredient should she use?

A rectangle measures 20cm at its width and 5 cm at its length. Find the ratio of the length tothe width to the perimeter of the rectangle in lowest form.

Brandon received $50 dollars for his paper route. He spent $20 dollars at the movies, and $10dollars buying comic books then after buying $5 worth of popcorn, he saved the rest. What is theratio of the amount of money spent buying comic books and popcorn, to the amount that saved?

78 children attended a trip to the fair. 60 of them were girls. Find the ratio of the number ofgirls to boys.

In Canada there is one car for every 19 people. How many car tires per person are there?

One out of three students in the school owns a cat. Of these students one out of two owns afish. What fraction of the students owns both a cat and a fish?

Find the value of N.N:8 = 3:4

Find the value of N.18N:54 = 12:9

True or False3:4 is greater than 5:8