Week 6 Y6 Math Trial Test

Betty’s phone plan charges $1 for the first 3 minutes of a long-distance call plus 20 cents for each additional minute after that.

Which of the following shows the cost, in dollars, of a long-distance call that lasted m minutes, where m ≥ 3?

A group of six friends, including Anthony, shared $700.

If Anthony’s share was 25 percent of the total amount and the other five friends share the rest equally, how much did each of the five friends share? 

A lamp was discounted 20 percent off the regular price of $370 during the sale.

If Barbie bought the lamp during the sale and she also used a $25 coupon, how much did she pay for the lamp?

If today is Belle’s birthday and one year from today, she will be twice as old as she was 10 years ago, how old is Belle today?

Mickey Mouse has a Christmas light consisting of red, blue, and green light bulbs. 

The red bulbs light for 3 seconds and are off for 3 seconds, the blue bulbs light for 4 seconds and are off for 4 seconds, and the green bulbs light for 5 seconds and are off for 5 seconds.

If all bulbs light at the same time, after how many seconds will all bulbs light again at the same time?

Goofy is currently 24 years older than Mickey Mouse. 

Eight years from today, Goofy will be twice as old as Mickey Mouse.

How old is Goofy now?

There are 21 students, consisting of at least one girl, in Steve Xu’s selective class. 

If of the boys and of the girls have blue eyes, what is the greatest possible number of students that have blue eyes?

A vendor bought 2 000 eggs at 80 cents each. 

If one-fourth of the eggs got broken during shipment, how much should the vendor sell each of the remaining eggs so that the vendor’s profit will be 20 percent of the total cost?

A rectangular wall is 20 metres long and 11 metres wide. 

A large can of paint costs $25, while a small can of paint costs $6.

If the large can is enough to cover an area of 60 square metres and the small can is enough to cover an area of 10 square metres, what is the least cost to buy enough paint to cover the wall?

Steve Roger is currently 15 years old and Tony Stark is currently 23 years old. 

How many years ago was Tony Stark twice as old as Steve Roger?

Mr. Romero’s estate was divided among his wife and three sons. 

His second son received twice the amount the eldest son received, the youngest son received twice the amount the second son received, and his wife received twice the amount the youngest son received.

If Mr. Romero’s estate was $3 million, how many million dollars did his second son receive?

There are only goats and chickens on Old MacDonald’s farm. 

When Old MacDonald counted all the heads, he counted 96, and when he counted all the legs, he counted 336.

How many chickens are on the farm?

At exactly 4:00 PM, the clock at Big Ben’s tower became faulty such that the hands of the clock started moving in the anti-clockwise direction. 

What time will the clock show if the correct time is 6:15 PM?

Bert and Ernie ran a 10-kilometre race. 

Bert finished the race in 4 hours while Ernie ran at an average speed that was 20 percent faster than Bert’s.

How long did Ernie finish the race?

A vendor bought a chair and sold it for a 5 percent profit based on the selling price. 

If the vendor’s profit was $45.50, how much did the vendor buy the chair?

A group of students is preparing for a test. 

Sixty percent of the students who studied less than 2 hours each day feel unprepared for the test and 80 percent of the students who studied 2 hours or more each day feel prepared for the test.

If 75 percent of the students studied less than 2 hours each day, what percent of the students in the group feel prepared for the test?

Container P has twice the capacity of container Q, and container P has one-third the capacity of container R. 

Container Q is full of water and container R is half full of water.

If the water in container Q is poured into container R, container R will be filled with water to what fraction of its capacity?

If 12 students will sit on each bench, then 6 students will have no place to sit. 

If 15 students will sit on each bench, then 2 benches will be empty.

The number of students is how many more than the number of benches?

At the office supply store, each pen costs the same and each marker costs the same. 

Big Bird spends twice as much as Kermit spends, buying three times as many markers and the same number of pens.

If Kermit spends $50 buying four markers and five pens, how much does one pen cost?

Jack currently has more money than Jill. 

The difference between the amount of money they have is  of the combined amount of money they have.

If Jack’s money is increased by 10 percent and Jill’s money is increased by 20 percent, then Jack will have $22 more than Jill’s.

How much money does Jill have?

Each pack contains 6 red tokens, 12 blue tokens, and 6 yellow tokens. 

Over a period of 10 days, the store sold 10 000 packs of marbles.

How many more blue tokens than red tokens did the store sell on average per day?

Bugs Bunny and Daffy Duck are 9 kilometres apart, standing on opposite ends of a straight road. 

Bugs Bunny starts walking towards Daffy Duck at a rate of 2 kilometres per hour at the same time that Daffy Duck starts walking towards Bugs Bunny, along the same route, at 3 kilometres per hour.

How far apart will they be 42 minutes before they meet on the road?

Eighty percent of the students in the class either own a dog or a cat, and the rest don’t own any pets. 

If 35 percent of the students who own a pet have cats, what percent of the students in the class have dogs?

A box contains 60 iron balls and copper balls only. 

Each iron ball has a mass of 5 grams and each copper ball has a mass of 15 grams.

If the combined mass of the balls in the box is 850 grams, how many copper balls are there?

Before the renovations, the library can house 500 books. 

After renovations, the number of bookshelves in the library decreased by 5 but they were able to put 5 more books on each bookshelf.

If the total number of books the library can house decreased by 10 percent after renovations, how many books were originally on each bookshelf?

A box contains red, yellow, blue, and green marbles only. 

There are one-third as many red marbles as yellow marbles and one-half as many blue marbles as red marbles.

If there are an equal number of green marbles and blue marbles in the box, what percent of the marbles are yellow?

Bill and Ted are waiting in line to buy tickets for Taylor Swift’s concert. 

If Bill is fourth in line and there are 18 people in front of Ted, how many people are between Bill and Ted?

A rectangular swimming pool is 38 metres long and 28 metres wide. 

If there is a 1-metre wide pathway around the swimming pool, what is the area of the pathway?

The combined mass of an igneous rock and a metamorphic rock is 200 grams. 

If the mass of the igneous rock is decreased by 20 percent and the mass of the metamorphic rock is increased by 10 percent, the combined mass of the two rocks will be 180 grams.

What is the mass of the igneous rock?

At the supermarket, red apples sell for 20 cents each and green apples are sold in packs of three for 50 cents. 

Last week, the supermarket sold 1 000 apples for an average price of 18 cents per apple.

How many red apples did the supermarket sell last week?

Emily is currently 8 years older than Tom. 

Four years ago, Emily was twice as old as Tom.

How old is Tom today?

Bubbles has twice as many stickers as Blossom, and Blossom has 5 more stickers than Buttercup. 

If together, the three of them have 75 stickers, how many stickers does Bubbles have?

Scooby shared 75 percent of the $675 with Velma, Fred, and Daphne and kept the rest for himself. 

Velma got four times the amount that Fred got, and Daphne got twice as much as Velma and Fred got together.

How much did Velma get?

At Yuki’s selective class, 25 percent of the transfer students are 12 years old. 

Of the transfer students who are 12 years old, the ratio of the number of males to the number of females is 5 to 2.

If 35 percent of the students in the class are transfer students and there are 60 female transfer students who are 12 years old, how many students are there in the class?

Gary is currently three times as old as Noel. 

Twelve years from today, Gary will be two years less than twice Noel’s age.

How old was Gary when Noel was born?