2022 Y6 MATH W10 ADDITIONAL PRACTICE Copy

Ben was making clay pots.

He can make 54 clay pots in 18 minutes.

Working at that rate, how long will it take Ben to make 81 clay pots?

A. 18 minutes

B. 27 minutes

C. 36 minutes

D. 54 minutes

E. 81 minutes

A mixture, consisting of flour and sugar only, is 8 percent sugar by mass.

If flour is added to 5 kilograms of the mixture to make a new mixture that is 4 percent sugar by mass, how much flour must be added to the mixture?

A. 1 kilogram

B. 2 kilograms

C. 4 kilograms

D. 5 kilograms

E. 10 kilograms

A certain organization has 400 members.

Ten percent of the members are less than 30 years of age.

If 400 new members will join the organization, how many of these new members must be less than 30 years of age to decrease the percentage of those less than 30 years of age to 5 percent?

A. 50

B. 35

C. 25

D. 10

E. 0

Car sales agent receives a 15 percent commission on the first sale worth $50,000 and then an additional 10 percent on any sale that exceeds the initial  $50,000.

If the sales agent earned a $24,000 commission, how much sales did the sales agent make?

A. $115,000

B. $165,000

C. $215,000

D. $240, 000

E. $365,000

A telephone company charges a connection fee of $1.75 per long-distance call plus 65 cents per minute.

If Ruby made 12 long-distance calls and each long-distance call lasted 55 minutes, what is the total cost of the long-distance calls that Ruby made?

A. $320

B. $380

C. $420

D. $450

E. $480

During George’s game night, he prepared 5 cans of soda for each of his invited friends and kept aside 2 additional cans of soda in case someone will want extra.

After the game night, it turned out that one of his friends didn’t come but every one of his friends that did come drank 6 cans of soda.

If there were 3 cans of soda left, how many friends did George invite to his game night?

A. 3

B. 4

C. 5

D. 6

E. 7

What percent of 50 is 90?

A. 180 percent

B. 150 percent

C. 125 percent

D. 120 percent

E. 80 percent

Peter owns a limited-edition baseball card.

The original price of the baseball card was $252.

Because Peter thought that he could get more money for the baseball card, he increased the price to 110 percent of the original price.

After a month, he still wasn’t able to sell the baseball card, so he decreased the price by 10 percent and the card was finally sold.

What price was the baseball card sold for?

A. $252.00

B. $250.00

C. $249.48

D. $245.42

E. $236.58

A factory has 400 workers, 20 percent of which are females.

If the factory will hire 40 additional workers and all the present workers remain, how many of the additional workers must be female to raise the percentage of female workers at the factory to 25 percent?

A. 10

B. 15

C. 20

D. 25

E. 30

Powdered unicorn horn costs 8 golds per kilogram and mermaid’s scale costs 15 golds per kilogram.

If a wizard mixes 5 kilograms of unicorn horn and 2 kilograms of mermaid’s scale to make a magic potion, what will be the cost per kilogram of the magic mixture?

A. 10 golds per kilogram

B. 12 golds per kilogram

C. 13 golds per kilogram

D. 15 golds per kilogram

E. 70 golds per kilogram

Robbie the Squirrel can collect 40 nuts in one hour.

At this rate, how many nuts can Robbie the Squirrel collect in 15 minutes?

A. 6 nuts

B. 10 nuts

C. 15 nuts

D. 25 nuts

E. 55 nuts

Half the passengers of the van get off at each stop and no additional passengers aboard the van.

If on the third stop, the next to the last passenger gets off the van, how many passengers did the van have at the start?

A. 20

B. 16

C. 8

D. 6

E. It cannot be determined.

The square and the rectangle below have the same area.

If the longer side of the rectangle is 6 centimetres longer than the shorter side, what is the perimeter of the rectangle?

A. 8 centimetres

B. 12 centimetres

C. 16 centimetres

D. 20 centimetres

E. It cannot be determined.

Kyle has 10 percent more baseball cards than Xander.

What percent of Kyle’s baseball cards must he give to Xander so that both of them will have the same number of baseball cards?

A. 5 percent

B. 90.09 percent

C. 10 percent

D. 11 percent

E. 12.25 percent

At a certain snack stand, a cup of soda and a sandwich cost $4.40, and a pack of cookies and a cup of soda cost $5.60.

If the sandwich costs half as much as a pack of cookies, how much does a cup of soda cost?

A. $2.60

B. $2.75

C. $3.00

D. $3.20

E. $3.80

The Chess Club has 50 members.

Ninety percent of the members of the Chess Club are professional players and the rest are amateur players.

The Chess Club decided to make the number of amateur members only 5 percent of the total number of members of the club.

How many more professional players must the Chess Club bring to make this happen?

A. 50

B. 45

C. 40

D. 30

E. 25

What is the value of N?

A. 25

B. 50

C. 250

D. 500

E. 750

Robert is currently three times as old as Bernie.

Five years from now, Bernie will be half as old as Robert.

How old is Robert today?

A. 10 years old

B. 15 years old

C. 17 years old

D. 22 years old

E. 25 years old

A certain book club has a special promotion that allows a member to earn a refund of the membership once the member’s combined number of books read per year plus the number of years as a member is at least 50.

If Carol constantly reads 4 books per year, and she joined the book club in 2020, in what year will she be eligible for the refund?

A. 2023

B. 2024

C. 2025

D. 2028

E. 2030

What is the value of y?

A. 12

B. 15

C. 19

D. 21

E. 22

What is the degree measure of one of the inner angles of a regular pentagon?

A. 108°

B. 124°

C. 360°

D. 540°

E. It cannot be determined.

Jack and Rose both work as sales agents.

In any given month, Jack earns a base salary of $550 plus 8 percent of the portion of his total monthly sales above $1 000 while Rose earns 10 percent of her total monthly sales.

For what amount of total monthly sales will Jack and Rose earn the same amount of money in a month?

A. $23 500

B. $24 500

C. $25 500

D. $26 500

E. $27 500

Joyce went to the supermarket and purchased 10 pineapples at an average (arithmetic mean) price of $14 per pineapple.

Then, she went to the market and purchased 15 more pineapples at an average price of $11 per pineapple.

What is the average price per pineapple that Joyce paid for these purchases?

A. $12.20

B. $12.50

C. $12.55

D. $12.70

E. $13.20

In the quadrilateral above, the degree measure of angle BCD is 60°, the degree measure of angle ABC is twice the degree measure of angle DAB, and the degree measure of angle ADC is 40° greater than the degree measure of angle DAB.

What is the degree measure of angle ADC?

A. 65°

B. 85°

C. 105°

D. 120°

E. 135°

A jar contains sweet and sour gumballs only.

Initially, there is 1 sweet gumball for every 3 sour gumballs.

After adding 10 more sweet gumballs to the jar, the ratio of the number of sweet gumballs to the number of sour gumballs is 1 to 2.

How many sour gumballs are in the jar?

A. 40

B. 50

C. 60

D. 80

E. 90

Beth and Veronica both work at the local diner.

Beth earns $14 per hour while Veronica earns $10.50 per hour.

How many percent less does Veronica earn per hour than Beth earns per hour?

A. 25 percent

B. 32 1/2 percent

C. 37 percent

D. 37 1/2 percent

E. 40 percent

Joseph joined a quiz bee contest where each correctly answered question is either worth 5 points or 7 points.

Which of the following could NOT be the total number of points that Joseph got in the quiz bee?

A. 20 points

B. 23 points

C. 26 points

D. 28 points

E. 30 points

Arthur, working alone, can finish building the cabinet in 10 hours.

David, working alone, can finish building the same cabinet in 6 hours.

If Arthur and David worked together, how long will it take both of them to finish building the cabinet?

A. 3 hours 45 minutes

B. 7 hours 30 minutes

C. 8 hours

D. 9 hours 45 minutes

E. 16 hours

A gnome can run 6 centimeters per second, a pace that is 1/3 as fast as a unicorn’s pace.

If a unicorn’s pace is twice as fast as a minotaur’s pace, how many centimeters does a minotaur run in an hour?

A. 129 600 centimetres

B. 64 800 centimetres

C. 32 400 centimetres

D. 3 600 centimetres

E. 540 centimetres

A machine that can make 345 motherboards in 15 hours would make 69 motherboards in how many hours if it worked at the same average rate?

A. 1 587

B. 600

C. 230

D. 23

E. 3

Thomas has made 3 birdcages in 30 minutes today.

If he doubles his rate tomorrow, how many birdcages will he make in 15 minutes?

A. 1

B. 3

C. 4

D. 6

E. 9

Patricia bought gold earrings at $80 per pair and silver earrings at $56 per pair.

If she bought a total of 12 pairs of earrings for $840, how many pairs of gold earrings did she buy?

A. 2

B. 5

C. 6

D. 7

E. 10

In the figure above, what is the sum of the degree measures of the nine angles labeled with letters?

A. 270°

B. 360°

C. 900°

D. 1 080°

E. It cannot be determined.

Over the course of one year, 30 percent of all the students in a certain class attended a play.

What is the ratio of the number of students in that class who attended a play to those who did not?

A. 3 to 10

B. 1 to 3

C. 3 to 7

D. 1 to 1

E. 3 to 1

In Mary Elizabeth’s orchard, the ratio of the number of mango trees to the number of apple trees is 3 to 4 and the ratio of the number of orange trees to the number of apple trees is 4 to 5.

If there are 10 more orange trees than mango trees in Mary Elizabeth’s orchard, how many mango trees are there?

A. 150

B. 180

C. 190

D. 210

E. 240