RAAR 1 quiz

The length of a pencil is 12 inches. There are approximately 25.4 millimeters in 1 inch.
Which measurement is closest to the length of the pencil in millimeters?

• 308.6 mm

• 307.9 mm

• 304.8 mm

• 302.8 mm

Answer explanation

To convert from inches to millimeters, we multiply the number of inches by 25.4 (since 1 inch = 25.4 mm).

1. Multiplication: 12 inches×25.4 mm/inch=

Tags

CCSS.5.MD.A.1

A shopper pays $6.40 for 5 pounds of apples. What is the price per pound for apples?

• $1.29

• $1.24

• $1.27

• $1.28

Answer explanation

To find the price per pound, divide the total cost by the number of pounds.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

A fabric store has two rolls of the same cloth. One roll has 10 yards of cloth, and the other roll has 12 yards of cloth. The store sells 4 pieces of the cloth. Each piece sold is 2 yards long. How many yards of cloth does the fabric store have left?

• 15

• 14

• 18

• 17

Answer explanation

Solution:

1. Find the total amount of cloth the store has initially:

   10 yards+12 yards=22 

3. Find the total amount of cloth sold:

4. Since the store sells 4 pieces of cloth, each 2 yards long:

   4×2=8 yards

6. Find how much cloth is left:

7. Subtract the amount sold from the total amount:

   22 yards−8yards=14 yardsd

Tags

CCSS.4.MD.A.2

A sundial has a circular base with a diameter of 60 feet.
Which measurement is closest to the area of the circular base of the sundial in square feet?

• 2826 square feet

• 2986 square feet

• 2816 square feet

• 2887 square feet

Answer explanation

• Find the radius: The radius is half the diameter:

• Use the formula for the area of a circle:

  Area=π×r2

Tags

CCSS.7.G.B.4

The ratio of the number of blueberries to the number of strawberries in a fruit salad is 3:2. There are 600 blueberries in the salad.
How many strawberries are in the salad?

• 900 strawberries

• 400 strawberries

• 3,600 strawberries

• 950 strawberries

Answer explanation

• Set up the proportion: The ratio of blueberries to strawberries is 3:2 and we know there are 600 blueberries.

• Let the number of strawberries be x.

  So we can set up the proportion:

  3/2 = 600/x

• Cross multiply to solve for x:

At 2:00 P.M., the temperature outside was 18°C. The temperature decreased by 3.0°C each hour until 8:00 P.M.

What was the temperature at 8:00 P.M.?

• 0°C

• -4°C

• 2°C

• -2°C

Answer explanation

Step 1: Determine how many hours have passed from 2:00 P.M. to 8:00 P.M.

• From 2:00 P.M. to 8:00 P.M. is a span of 6 hours (8 - 2 = 6).

Step 2: Calculate the total temperature decrease.

• The temperature decreases by 3.0°C per hour for 6 hours.

• Total temperature decrease = 3.0°C×6=18.0°C3.0°C \times 6 = 18.0°C3.0°C×6=18.0°C.

Step 3: Subtract the total decrease from the initial temperature.

Tags

CCSS.7.NS.A.3

A salesperson recorded the number of cars sold by four different brands in a month. The sales data is as follows:

• Brand A: 15 cars

• Brand B: 22 cars

• Brand C: 28 cars

• Brand D: 10 cars

Which two brands represent approximately 60% of the total number of cars sold?

• Brand D and Brand C

• Brand A and Brand B

• Brand B and Brand C

• Brand C and Brand A

Answer explanation

Step 1: Find the total number of cars sold

Step 2: Calculate 60% of the total sales

Next, we calculate 60% of 75 cars. To do this, we multiply 75 by 0.60

Step 3: Check the combinations of two brands

Pi (π\piπ) is described by the ratio of a circle's ______ to its ______.

Answer explanation

If you divide the circumference (the distance around the circle) by the diameter (the distance across the circle through the center), you will get the value of π\piπ.

Tags

CCSS.7.G.B.4

An average household uses 400 gallons of water per day. The pie chart shows the percentages of water used for various household activities. The percentages are:

• Dishwashing: 20%

• Leaks: 8%

• Laundry: 18%

• Bathing: 22%

• Cooking: 12%

• Other: 20%

How many gallons of water are used per day for Dishwashing or Laundry?

Answer explanation

To find the total percentage of water used for Dishwashing or Laundry, we add these two percentages together:

20%+18%=38%

Step 2: Find 38% of 400 gallons

Now, let's calculate 38% of 400 gallons. To do this, we multiply 400 by 0.38

Tags

CCSS.6.RP.A.3C

A student wants to buy a new laptop. She has saved $800 so far. She plans to add $100 to her savings every month for the next 10 months. She will not spend any of the money she saves until she can afford the laptop.

Which percentage is closest to the percent increase from the original amount of money she has saved to the amount she will have at the end of 10 months?

• 125%

• 157%

• 15700

• 12500

Answer explanation

Step 1: Find the total amount of money she will have after 10 months.

Step 2: Calculate the increase in the amount saved.

Step 3: Find the percentage increase.

Tags

CCSS.6.RP.A.3C