# Math in Focus Grade 6 Chapter 5 Review Test Answer Key

Go through the Math in Focus Grade 6 Workbook Answer Key Chapter 5 Review Test to finish your assignments.

## Math in Focus Grade 6 Course 1 A Chapter 5 Review Test Answer Key

Concepts and Skills

Solve.

Question 1.
A factory produces 300 video game disks in 15 minutes. How many video game disks can it produce in 1 minute?
20 discs
Explanation:
Video game discs per unit = $$\frac{300}{15}$$
Multiply with common factor on both sides.
Thus, the factory produces 20 discs.

Question 2.
A printer can print 25 pages per minute. At this rate, how long will it take to print 2,000 pages?
80 minutes
Explanation:
A printer can print 25 pages per minute = 25 X 4 = 100.
100 X 20 = 2,000, and 4 X 20 = 80.
each minute makes 25 pages, and 4 min = 100,
which means that 8 min = 2,000 (25 x 8 = 2,000)

Problem Solving

Question 3.
An empty bathtub is filled with water at a rate of 2.5 liters per minute. How long will it take to fill the bathtub with 30 liters of water?
12 min
Explanation:
Let x = number of minutes
( 2.5 liters/min )X (x) = 30 liters
x = (30 liters) / (2.5 liters/min)
x = 30/2.5 min
x = 12 min

Question 4.
$$\frac{2}{3}$$ cup of oatmeal is needed to make 10 granola bars. How many such granola bars can be made with 20 cups of oatmeal?
300 bars
Explanation:
10 granola bars can be made from $$\frac{2}{3}$$ cups
now we know we have 20 cups of oatmeal,
write as equivalent ratio
2/3 cup oatmeal      20 cups of oatmeal
——————-  =  ———————
10 granola bars         ? granola bars
10 bars/(2/3 cups) = 15 bars/cup
15 bars/cup X (20cup) = 300 bars

Question 5.
150 grams of fertilizer is required for a land area of 6 square meters.
a) At this rate, how many grams of fertilizer are required for a land area of 13 square meters?
13 sq m land area
Explanation:
If 150g of fertilizer can cover 6 sq m of land then,
25 g of fertilizer can cover 1 sq m of land;
For 13 sq m of land = $$\frac{150}{6}$$  ÷  $$\frac{25}{1}$$
= $$\frac{150}{150}$$ = 1
1 gram  for 1 sq m land
So, 13 grams for 13 sq m land.

b) For what land area will 850 grams of fertilizer be sufficient?
34 sq m land
Explanation:
25g of fertilizer covers 1 sq m of land
So, 850 g of fertilizer sufficient to
= $$\frac{850}{25}$$ = 34

Question 6.
A machine can stamp 36 bottle caps in 10 seconds. Copy and complete the table.

a) At this rate, how many bottle caps can the machine stamp in 5 minutes?
1,080 stamps
Explanation:
A machine can stamp 216 bottles per minute.
In 5 min, machine can stamp
= 216 x 5 = 1,080

b) At this rate, how many minutes will it take to stamp 24,408 bottle caps?
406 bottles
Explanation:
1 min = 60 seconds
24,408 ÷ 60 = 406

Question 7.
The table below shows the charges for using an Internet service.

Nicholas used the Internet service for 16 hours and 40 minutes last month.
a) Under which plan would he have to pay less?
Plan A

b) How much less?
Answer: $4 Explanation: In Plan A price for 10hrs =$6
price for subsequent half hour = $1 Total time used = 16 hours and 40 minutes price for the fist 10 hours =$6
remaining time = 16-10hrs = 6hrs and 40minutes
No of half hours in 6 hours and 40 minutes = 6 x 2 + 2 = 12 + 2 = 14
price for the half hours = 14 x $1 = 14$
TOTAL PRICE = $6 +$14 = $20.00 Plan B price for 12hrs =$4
price for subsequent half hour = $2 Total time used = 16 hours and 40 minutes price for the fist 12 hours =$4
remaining time = 16-12hrs = 4hrs and 40minutes
No of half hours in 4 hours and 40 minutes = 4 x 2 + 2 = 8 + 2 = 10
price for the half hours = 10 x $2 = 20$
TOTAL PRICE = $4 +$20 = \$24.00
There fore PLAN A is the best plan

Question 8.
Ashley took 3 minutes to run a distance of 540 meters from Point X to Point Y. Grace took 2 minutes to run a distance of 480 meters from Point Z to Point Y.
a) Find the speed of each girl.
Ashley speed is 180m per min
Grace speed is 240m per min
Explanation:
Speed = $$\frac{Distance}{Time}$$
Speed = $$\frac{540}{3}$$
Speed =180m per minute
Ashley speed is 180m per min

Speed = $$\frac{Distance}{Time}$$
Speed = $$\frac{480}{2}$$
Speed = 240 m/minute
Grace speed is 240m per min

b) Which of the two girls ran faster?

Grace speed is more.
Explanation:
From the above information given,
Speed = $$\frac{480}{2}$$
Speed = 240 m/minute
Grace speed is 240m per min

Question 9.
The distance between Town A and Town B is 45 kilometers.
a) If a train travels at a speed of 60 kilometers per hour, how long will it take to travel from Town A to Town B?
45 minutes
Explanation:
If the train travels at 60km/hr,
it travels at 1 km/min.
1km = 1min
45 km = ?
So, it takes 45 min to go from A to B.

b) If a train takes 40 minutes to travel from Town A to Town B, what is its speed in kilometers per minute? Round your answer to 1 decimal place.
1.1 km/min
Explanation:
We can find the rate by dividing the Distance by the Time
45km / 40 min  = 1.125 km/min
= 1.1 km/min  (rounded)

Question 10.
At 7:30 A.M., a bus left Town P for Town Q at a speed of 60 kilometers per hour. 15 minutes later, a car left Town Q and headed for Town P. The car reached Town P at 10:45 A.M. The bus reached Town Q at noon.
a) What is the distance between Town P and Town Q?
270 km
Explanation:
The bus took 4.5 hrs, with speed 60kph town P to town Q
Distance = Speed x Time
= 60 x 4.5
=270 kilometers

b) What was the speed of the car?
90 kph
Explanation:
a car started at 7:45 Town Q and headed for Town P. The car reached Town P at 10:45 A.M.
Time =3 hours
Distance= 270 KM
Speed = $$\frac{Distance}{Time}$$
Speed = $$\frac{270}{3}$$
Speed = 90 KMPH

Question 11.
Brian drove 120 miles at speed of 60 miles per hour. He drove the same distance back home at average speed of 40 miles per hour. Brian adds these speeds and divides by 2 to come up with an average speed of 50 miles per hour. What is wrong with his reasoning? Find his average speed.