MTH 215 Quantitative Reasoning 1 Summative Assignment 3
Week 3 Summative Assignment: Conversions and Shape Measurements
1. A kiddie pool has a diameter of 4’ and a height of 2’. About how many gallons are in
the pool? For simplicity, assume pi is 3 and a gallon is 0.1 cubic feet. (7 Points)
a. 320 gal
b. 240 gal
c. 360 gal
d. 180 gal
2. Sarah is planning a party at a party hall. The meal option is $50 per person and
includes the hall for free. The hall-only option is $1,500 but allows an external caterer
which charges $30 per person. Sarah plans to invite 40 people. Which is a better cost
comparison? (6 Points)
a. Meal Options: $2,700. Hall-Only Options: $2,000. Hall-Only Option is cheaper.
b. Meal Options: $3,000. Hall-Only Options: $1,200. Hall-Only Option is cheaper
c. Meal Options: $1,000. Hall-Only Options: $3,500. Meal Options are cheaper.
d. Meal Options: $2,000. Hall-Only Options: $2,700. Meal Option is cheaper.
3. A pizza party will have 30 kids. A pizza has 12 slices, and each kid will eat 4 slices. How
many pizzas will be needed? (6 Points)
a. 16 Pizzas
b. 8 Pizzas
c. 12 Pizzas
d. 10 Pizzas
4. A house is on an 80,000 sq ft. lot. About how many acres is the lot? (7 Points)
a. 1 Acre
b. 2 ½ Acres
c. ½ Acre
d. 2 Acres
5. A pack of 5 peanut butter jars costs $10. What is the cost of one jar? (6 Points)
a. $5
b. $2
c. $25
d. $15
6. A swimming pool has a capacity of 2,500 gallons of water. The output of a hose is 25
gallons per minute. How much time would it take to fill the pool? (6 Points)
a. 75 Minutes
b. 100 Minutes
c. 99 Minutes
, d. 125 Minutes
7. Swimming burns around 9 calories per minute. How many calories are burned in a
30-minute swim? (6 Points)
a. 300 Calories
b. 270 Calories
c. 540 Calories
d. 90 Calories
8. Dexter weighs 100 kg. How much does he weigh in pounds, if kg is 2.2 pounds? (6
Points)
a. 224.8 lbs.
b. 215.2 lbs.
c. 110 lbs.
d. 220 lbs.
9. Mo is on a baseball team and hears that a ball thrown at a 45-degree angle from the
ground will travel the furthest distance. How should Mo release the ball for the
furthest travel? (8 Points)
a. Nearly straight up, directly above his head
b. About halfway between straight ahead and straight up
c. Nearly straight ahead, parallel to the ground
d. About two-thirds of the way straight up
10. A restaurant serves a 16-inch pizza and a 20-inch pizza. About how many
square inches is each? (7 Points)
a. 50 square inches and 70 square inches
b. 300 square inches and 400 square inches
c. 201 square inches and 314 square inches
d. 45 square inches and 60 square inches
11. Sue needs an apartment for 9 months. A 12-month lease is $700 per month, with
the first month free. The monthly lease is $900 per month. Which is cheaper for 9
months. (6 Points)
a. 12-Month: $8,400. Monthly: $8,100. A monthly lease is cheaper
b. 12-Month: $9,900. Monthly: $7,200. A monthly lease is cheaper
c. 12-Month: $7,700. Monthly: $10,800. 12 A month's lease is cheaper.
d. 12-Monthly: $7,700. Monthly: $8,400. 12 A month's lease is cheaper
12. About how much flooring is needed for a room that is 10 feet wide and 20 feet
long? (7 Points)
a. 30 square Foot
b. 200 Square Foot
c. 600 Square Foot
d. 60 Square Foot
Week 3 Summative Assignment: Conversions and Shape Measurements
1. A kiddie pool has a diameter of 4’ and a height of 2’. About how many gallons are in
the pool? For simplicity, assume pi is 3 and a gallon is 0.1 cubic feet. (7 Points)
a. 320 gal
b. 240 gal
c. 360 gal
d. 180 gal
2. Sarah is planning a party at a party hall. The meal option is $50 per person and
includes the hall for free. The hall-only option is $1,500 but allows an external caterer
which charges $30 per person. Sarah plans to invite 40 people. Which is a better cost
comparison? (6 Points)
a. Meal Options: $2,700. Hall-Only Options: $2,000. Hall-Only Option is cheaper.
b. Meal Options: $3,000. Hall-Only Options: $1,200. Hall-Only Option is cheaper
c. Meal Options: $1,000. Hall-Only Options: $3,500. Meal Options are cheaper.
d. Meal Options: $2,000. Hall-Only Options: $2,700. Meal Option is cheaper.
3. A pizza party will have 30 kids. A pizza has 12 slices, and each kid will eat 4 slices. How
many pizzas will be needed? (6 Points)
a. 16 Pizzas
b. 8 Pizzas
c. 12 Pizzas
d. 10 Pizzas
4. A house is on an 80,000 sq ft. lot. About how many acres is the lot? (7 Points)
a. 1 Acre
b. 2 ½ Acres
c. ½ Acre
d. 2 Acres
5. A pack of 5 peanut butter jars costs $10. What is the cost of one jar? (6 Points)
a. $5
b. $2
c. $25
d. $15
6. A swimming pool has a capacity of 2,500 gallons of water. The output of a hose is 25
gallons per minute. How much time would it take to fill the pool? (6 Points)
a. 75 Minutes
b. 100 Minutes
c. 99 Minutes
, d. 125 Minutes
7. Swimming burns around 9 calories per minute. How many calories are burned in a
30-minute swim? (6 Points)
a. 300 Calories
b. 270 Calories
c. 540 Calories
d. 90 Calories
8. Dexter weighs 100 kg. How much does he weigh in pounds, if kg is 2.2 pounds? (6
Points)
a. 224.8 lbs.
b. 215.2 lbs.
c. 110 lbs.
d. 220 lbs.
9. Mo is on a baseball team and hears that a ball thrown at a 45-degree angle from the
ground will travel the furthest distance. How should Mo release the ball for the
furthest travel? (8 Points)
a. Nearly straight up, directly above his head
b. About halfway between straight ahead and straight up
c. Nearly straight ahead, parallel to the ground
d. About two-thirds of the way straight up
10. A restaurant serves a 16-inch pizza and a 20-inch pizza. About how many
square inches is each? (7 Points)
a. 50 square inches and 70 square inches
b. 300 square inches and 400 square inches
c. 201 square inches and 314 square inches
d. 45 square inches and 60 square inches
11. Sue needs an apartment for 9 months. A 12-month lease is $700 per month, with
the first month free. The monthly lease is $900 per month. Which is cheaper for 9
months. (6 Points)
a. 12-Month: $8,400. Monthly: $8,100. A monthly lease is cheaper
b. 12-Month: $9,900. Monthly: $7,200. A monthly lease is cheaper
c. 12-Month: $7,700. Monthly: $10,800. 12 A month's lease is cheaper.
d. 12-Monthly: $7,700. Monthly: $8,400. 12 A month's lease is cheaper
12. About how much flooring is needed for a room that is 10 feet wide and 20 feet
long? (7 Points)
a. 30 square Foot
b. 200 Square Foot
c. 600 Square Foot
d. 60 Square Foot