DAY 3 – Summer Holiday Group 6 Year 6 Math Trial Test

The length of a rectangular garden is 13 metres longer than its width.

If the garden has a perimeter of 46 metres, what is the area of the garden?

It takes Big Bird 20.5 minutes to walk 1.25 kilometres.

At this rate, how many minutes will it take Big Bird to walk one kilometre?

• Dora the Explorer is carrying two boxes.

One box weighs 12.9 kilograms and the other weighs half as much.

What is the combined mass of the two boxes that Dora is carrying?

• Charlotte’s smartwatch shows that she was able to burn 510 calories after jogging for one hour. 

At this rate, how many calories did she burn per minute?

• A stack of 60 aluminium sheets is 15 centimetres thick. 

What is the thickness of each aluminium sheet?

• Belle counted the number of horses that pass by her window and noticed that for every 5 horses that pass by, 2 are brown. 

If 60 horses pass by her window in one hour, how many of those horses are most likely brown?

Cassandra harvested two baskets of eggplant from her garden. 

One basket contains 10 1/4 kilograms of eggplants and the other basket contains 9 1/8 kilograms of eggplants.

If Cassandra combined the two baskets and then split all the eggplants into five equal parts, how many kilograms of eggplants are there in each part?

Harvey can make one birdhouse every 5/6 of an hour. 

At this rate, how long will it take Harvey to make five birdhouses?

There were three identical cakes at Princess Jasmine’s birthday party, and each cake had been sliced into 9 equal pieces.

If 8/9 of the first cake had been eaten, 2/3 of the second cake had been eaten, and 7/9 of the third cake had been eaten, what fraction of the three cakes were left?

Dexter needs to answer a 50-question test in 2 1/2 hours. 

If Dexter wants to spend an equal amount of time on each question, how much time should Dexter spend on each question?

It takes Bart Simpson 25 minutes to clean his room. 

If Bart had been cleaning his room for 15 minutes, what fraction of the work had Bart already finished?

Huey, Dewey, and Louie were playing a video game. 

The ratio of the number of points that Huey scored in the game to the number of points Dewey scored in the game was 12 to 11.

The ratio of the number of points that Huey scored in the game to the number of points Louie scored in the game was 4 to 3.

If the three of them scored a total of 224 points in the game, what is the difference between the number of points Dewey scored and the number of points Louie scored?

Donald Duck bought a box of tiles for his bathroom. 

He used 3/7 of the tiles on the bathroom floor and used 1/6 of the remaining tiles on the bathroom sink.

If there were 90 tiles left, what was the total number of tiles in the box?

Cinderella bought an equal number of spoons and forks for her birthday party. 

The spoons were sold at 3 spoons for 20 cents and the forks were sold at 4 forks for 30 cents.

If Cinderella spent 50 cents more on forks than on spoons, how much did she spend in all?

Darlene cuts a piece of ribbon, 287 centimetres long, into two pieces in a ratio of 3 to 4. 

What is the length of the longer piece?

A fruit vendor had some apples. 

She sold 18 apples in the morning and sold seven times as many apples in the afternoon as in the morning.

If only 1/3 of the initial number of apples were left at the end of the day, how many apples did the fruit vendor have at the start?

Elmo ate 3/11 of a chocolate bar and gave a quarter of the remaining chocolate bar to Bert. 

What fraction of the chocolate bar did Elmo have left?

A jar contains red marbles, blue marbles, and green marbles only in the ratio of 5:3:2, respectively. 

If there are 970 marbles in the jar, how many fewer green marbles than red marbles are there?

Five out of every 8 books at the local library are paperback books. 

If there are 12 560 paperback books at the local library, how many books are not paperbacks?

There are 1 400 students enrolled at Hogwarts School of Witchcraft and Wizardry. 

The number of witches is 3/4 the number of wizards.

How many students are not in Gryffindor if 1/6 of the witches and 1/5 of the wizards are in Gryffindor?

Jack and Jill had a total of 560 stickers. 

When Jack gave 1/9 of his stickers to Jill, they had the same number of stickers.

How many more stickers did Jack have than Jill at the start?

Gandalf’s army is made up of archers and swordsmen only. 

The ratio of the number of archers to the number of swordsmen is 5 to 6.

If there are 100 archers in Gandalf’s army, what is the total number of soldiers in Gandalf’s army?

There are a total of 50 pigs and ducks at Old MacDonald’s farm. 

If Old MacDonald counted a total of 124 legs, how many more ducks than pigs are there?

A florist had some red and white roses. 

She put the red roses in baskets containing 8 red roses each and put the white roses in baskets containing 4 white roses each.

After selling each basket of red roses for $2 and each basket of white roses for $5, the florist made a total of $2 516.

If the florist sells 7 times as many baskets of white roses as baskets of red roses, how many roses did the florist sell in all?

Ruben sold 153 widgets in January. Sold 25 more widgets in February than in January, and sold twice as many widgets in March as he did in February. 

How many widgets did Ruben sell in all from January to March?

When two dozen identical metal balls are arranged in a tray, the total mass is 4.56 kilograms. 

When 18 such metal balls are arranged in the same tray, the total mass is 3.48 kilograms.

What is the mass on the tray when it is empty?

Edward Cullen bought 3 kilograms of fish at $2.20 per kilogram, 5 kilograms of squids at $1.80 per kilogram, and some scallops at $0.90 per kilogram. 

If Edward Cullen paid a total of $26.40 for the seafood, how many kilograms of scallops did he buy?

Cookie Monster sold 278 boxes of cookies on Monday. 

He sold 39 more boxes of cookies on Monday than on Sunday and the number of boxes of cookies he sold on Tuesday was twice the number of boxes of cookies he sold on Monday.

How many boxes of cookies did Cookie Monster sell altogether during those three days?

The price of the blender is twice the price of the toaster. 

If Snow White spent a total of $150 on 4 blenders and 2 toasters, how much did each blender cost?

Carlos picked a total of 783 apples and packed them equally in 9 boxes. 

After giving 4 boxes of apples to a friend, he decided to repack the remaining apples in baskets containing 5 apples each.

How many such baskets of apples did Carlos have in the end?

Philip bought a new game console. 

After paying the down payment of $39.90, Phillip was allowed to pay the rest in 24 equal installments.

If Philip paid $27.50 per instalment, what was the total cost of the game console?

The scale on the blueprint shows 2 centimetres:3 metres. 

What is the actual area of the dining room if it was 5 centimetres by 6 centimetres on the blueprint?

Michael Jordan bought a pair of basketball shoes for $102. 

If the price includes a sales tax of 20 percent, what was the cost of the basketball shoes without the sales tax?

What is the greatest number of pieces of thread, 27.5 centimetres long, that can be cut from a roll of thread 42 metres long?

Denise’s class bought 6 boxes of canned tuna that will be donated to the flood victims. 

If each box contains 48 cans of canned tuna and the class will give 3 cans to each flood victim, how many flood victims will be able to receive canned tuna?