Week 1 Y6 Math Trial Test

Snow White buys an apple and an orange for 80 cents.

At the same fruit store, Cinderella buys an orange and a plum for $1.20, and Mulan buys an apple and a plum for 70 cents.

How much did she pay if Ariel bought three apples, three oranges, and three plums? 

There are 21 boys and 91 girls in Miss Henderson’s drama class.

Miss Henderson wanted to group the students in her class into identical groups.

What is the greatest possible number of identical groups she could form? (Two groups are identical if the number of boys in the two groups is equal and the number of girls in the two groups is equal.)

Forty-five percent of the first 80 members of the Book Club were males. 

How many of the remaining 82 members of the Book Club must be male so that exactly 50 percent of the members of the Book Club were females?

Blossom, Bubbles, and Buttercup shared a box of mini-mints. 

Blossom got 7 less than half the total number of mini-mints in the box, Bubbles got 8 more than 1/4 of the total mini-mints, and Buttercup got the remaining 20 mini-mints.

How many mini-mints were in the box?

The current ages of Bill and Ted sum to 30 years

If Bill is twice as old as Ted, how old will Ted be 30 years from today?

During a fundraising event, the local children’s shelter collected a total of $699.

If each donor contributed at least $20, what is the greatest possible number of donors at the fundraising event?

A trail mix recipe calls for 80 grams of almonds for every 140 grams of hazelnuts.

If Mickey Mouse accidentally used 210 grams of hazelnuts to make the recipe, how grams of almonds should he use?

Chuckie’s age is half the sum of the ages of Angelica and Tommy.

If Chuckie is 2 years younger than Angelica and Tommy is 32 years old, how old is Chuckie?

Working together at their respective constant rates, Bert and Ernie can paint a wall in 6 hours.

If Bert had been working alone at his constant rate, he could paint the same wall in 10 hours.

How many hours will Ernie, working alone at his constant rate, take to paint the wall?

A box contains only identical iron and copper balls, and there are 3 iron balls for every 5 copper balls in the box.

If the average (arithmetic mean) mass of the iron balls is 217 grams and the total mass of all the iron balls in the box is 8.463 kilograms, how many copper balls are in the box?

The Batmobile consumes 8 litres of petrol to travel 320 kilometres.

At this rate, how many litres of petrol will the Batmobile consume for a 700-kilometre trip?

At the flower shop, a customer can buy 100 roses for $12, 50 roses for $8, or 25 cents per rose.

If Belle has $57.75 to spend on roses, what is the greatest possible number of roses she can buy?

Gary played a total of 25 matches at the International Chess Championship.

If he won 60 percent of all the matches he played and no match ended in a draw, how many more matches did he win than he lost?

Betty’s phone plan charges a fixed monthly fee of $200 and charges $3 per minute of long-distance calls.

Jessica’s phone plan does not have a monthly fee but charges $5 per minute of long-distance calls.

Last month, Betty’s phone bill was the same as Jessica’s phone bill, and the two of them made the same number of minutes of long-distance calls.

How many minutes of long-distance calls did Betty make last month?

The ratio of the number of black goats to the number of brown goats on Old MacDonald’s farm is 3:4, and the ratio of white goats to brown goats is 4:5.

If there are 10 more white goats than black goats on the farm, how many brown goats are there?

Half of the train’s passengers got off at each stop, and no new passengers boarded the train.

If there is only one passenger on the train after the third stop, how many passengers were on the train before the first stop?

At Office Supply Mac, a notepad and a pencil cost $4.40, and a marker and a notepad cost $5.60.

If a pencil costs half as much as a marker, how much does one notepad cost?

The combined mass of an iron ball and a brass ball is 120 grams.

The combined mass of a brass ball and a copper ball is 280 grams, and the combined mass of the three balls is 310 grams.

What is the mass of the brass ball?

A train travelled the first 10 hours of the trip at 140 kilometres per hour and travelled the remaining 15 hours of the trip at 110 kilometres per hour.

What was the average speed of the train for the entire trip?

A group of 18 friends is planning to rent a plane that costs $8 000.

If each friend shares $300 for the rent, at least how many more friends, each sharing $300, do they need to invite to have enough money to rent the plane?

Shrek found two wooden boards in his swamp.

The combined length of the two boards is 100 centimetres.

If the shorter board is 5 centimetres less than half the length of the longer board, what is the length of the shorter board?

Scooby is three times as old as Fred, Daphne is 8 years younger than Scooby, and Fred is 7 years older than Velma.

If the sum of the ages of the four of them is 161 years, how old is Fred?

Barbie is preparing for her birthday party.

She made 5 slices of brownies for each of her invited guests and kept aside two slices in case someone wanted extra.

After the party, it turned out that one of her invited guests did not come to the party, but each guest at the party ate six slices of brownies.

If she had 3 slices of brownies left after the party, how many guests did she invite to her birthday party?

At the movie theatre, Huey bought 3 buckets of popcorn and a cup of soda for $2.25, while Dewey bought 2 buckets of popcorn and a cup of soda for $1.70.

If Louie only bought 2 buckets of popcorn, how much did Louie pay?

A coffee vendor repacked 100 kilograms of coffee beans into 5- and 10-kilogram packs.

If the vendor ended up with two more 5-kilogram packs than 10-kilogram packs, how many 10-kilogram packs did the vendor have?

An encyclopaedia sales agent received an average (arithmetic mean) commission of $175 on the five sales he made last month.

If the agent received commissions of $200, $75, $310, and $155 on the first four sales, how much commission did he receive from his fifth sale last month?

A total of 120 000 tickets went on sale for the Avengers movie premiere.

The organizers agreed to donate 30 percent of the revenue from the ticket sales to a local charity.

If each ticket was $10 and the organizer donated $360 000 to the local charity, how many tickets to the Avengers movie premiere were left unsold?

A treasure contains gold and silver bars only.

Each gold bar has a mass of 500 grams, and each silver bar has a mass of 700 grams.

If the total mass of the gold and silver bars in the chest is 4.6 kilograms and there are two more gold bars than silver bars, how many silver bars are there?

Donald Duck has a bag of 45 red and yellow marbles, and there are 4 red marbles for every 1 yellow marble in the bag.

If Donald Duck added 15 yellow marbles to the bag, what would be the new ratio of the number of red marbles to the number of yellow marbles in the bag?

An insurance agent is offered two types of salary packages.

He can either be paid a monthly salary of $45 500 with no commission or a monthly salary of $12 500 plus a 25 percent commission on his total monthly sales.

How much total monthly sales must the insurance agent make to give him the same total monthly salary with either type of salary package?

Rick Riordan, the author of the Percy Jackson series, earns 15 cents in royalties for each of the first 2 500 copies of the book sold and 25 cents for each additional copy sold.

If the book sold 3 000 copies on the first day of selling, how much money did Rick Riordan earn on the first day of selling?

Dexter, the boy genius, took five IQ tests yesterday.

His average (arithmetic mean) score in the first three tests was 72.

What is the least average score he needed on the last two tests to bring his overall average on the five tests to at least 80?

A box contains blue and green tokens only.

The number of blue tokens in the box is five times the number of green tokens.

If there are 450 blue tokens in the box, how many more blue tokens than green tokens are there?