E.O.U. Ratio Review Math 6

Select all 3 true statements.

• The ratio of squares to smiley faces is 2 : 4.

• There are three triangles for every square.

• There are two smiley faces for every square.

• The ratio of triangles to squares is 2 to 6.

• The ratio of smiley faces to triangles is 4 to 2.

Answer explanation

The ratio of squares to smiley faces is 2:4 (true). There are three triangles for every square (true). There are two smiley faces for every square (true). The other statements are incorrect.

Select the two ratios that are equivalent to 9 : 6.

• 6 : 9

• 3 : 2

• 13 : 10

• 5 : 2

• 18 : 12

Answer explanation

To find ratios equivalent to 9:6, simplify it to 3:2 (dividing both by 3). For 18:12, divide both by 6 to get 3:2, confirming it's equivalent. Thus, 3:2 and 18:12 are the correct choices.

A mixture of orange paint contains 8 teaspoons of red paint and 12 teaspoons of yellow paint. To make the same shade of orange paint using 18 teaspoons of red paint, how much yellow paint would you need?

• 27 teaspoons

• 24 teaspoons

• 22 teaspoons

• 12 teaspoons

Answer explanation

The ratio of red to yellow paint in the original mixture is 8:12, which simplifies to 2:3. If using 18 teaspoons of red, the amount of yellow needed is (18 teaspoons red) x (3/2) = 27 teaspoons yellow.

Elena rode her bike 2 miles in 10 minutes. She rode at a constant speed. How many minutes did it take her to travel 1 mile?

• 1 mile in 5 minutes

• 1 mile in 6 minutes

• 1 mile in 4 minutes

• 1 mile in 7 minutes

Answer explanation

Elena rode 2 miles in 10 minutes, so her speed is 2 miles/10 minutes = 0.2 miles/minute. To find the time for 1 mile, divide 1 mile by her speed: 1 mile / 0.2 miles/minute = 5 minutes. Thus, it took her 1 mile in 5 minutes.

Elena rode her bike 2 miles in 10 minutes. She rode at a constant speed. Complete the table to show how far she traveled in 1 minute.

• 1/5 of a mile

• 2/5 of a mile

• 1/6 of a mile

• 2/8 of a mile

Answer explanation

Elena rode 2 miles in 10 minutes, so her speed is 2 miles / 10 minutes = 0.2 miles per minute. This is equivalent to 1/5 of a mile per minute, making the correct answer 1/5 of a mile.

Three concert tickets cost $45. At this rate, what is the cost per ticket?

• $10

• $15

• $20

• $25

Answer explanation

To find the cost per ticket, divide the total cost by the number of tickets: $45 ÷ 3 = $15. Therefore, the cost per ticket is $15.

Three milkshakes cost $9.75. At this rate, how much do 2 milkshakes cost?

• $6.50

• $6.00

• $5.75

• $5.00

Answer explanation

To find the cost of 2 milkshakes, first calculate the cost of one milkshake: $9.75 ÷ 3 = $3.25. Then, multiply by 2: $3.25 × 2 = $6.50. So, 2 milkshakes cost $6.50.

Three oranges cost $1.35. At this rate, how much do 5 oranges cost?

• $1.50

• $6.50

• $2.25

• $2.75

Answer explanation

To find the cost of 5 oranges, first calculate the cost of one orange: $1.35 / 3 = $0.45. Then, multiply by 5: $0.45 x 5 = $2.25. So, 5 oranges cost $2.25.

A bag contains 150 marbles total. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?

• 105

• 120

• 126

• 135

Answer explanation

126 blue + 24 white = 150 marbles total

Priya mixes 3 scoops of powder with 5 cups of water. Select a double number line that shows this relationship.

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