Week 9 Y6 Math Trial Test

Bert and Ernie have a total of 120 baseball cards together.

If Bert gave 5 of his baseball cards to Ernie, and Ernie gave 2 of his baseball cards to Bert, then Bert would have 22 more baseball cards than Ernie.

How many baseball cards did Ernie have before the exchange?

Captain Barbosa has a treasure chest containing diamonds and rubies only.

There is one diamond for every three rubies in the treasure chest.

When Captain Barbosa added 10 diamonds to the treasure chest, the corresponding ratio of diamonds to rubies became 1 to 2.

How many diamonds and rubies were in the treasure chest after the addition?

Rhianna went to the mall and spent 3/7 of her money to buy a pair of earrings and spent 2/5 of her remaining money on a necklace.

What fraction of the amount of money she had at the start did she have left?

Elmo bought a pack containing between 100 and 110 marbles, inclusive.

If he divides the marbles in the pack into equal groups of 3, there will be 2 marbles left over.

If he divides the marbles into equal groups of 4, there will be 1 marble left over.

How many marbles are there in the pack?

Cookie Monster baked a total of 280 cookies. 

If 30 percent of the cookies have chocolate chips only, 25 percent have nuts only, and the rest have raisins only, how many cookies have raisins only?

The horses on Old MacDonald’s farm are either black, brown, or white. 

The ratio of the number of black horses to the number of brown horses is 2:1, and the ratio of the number of brown horses to the number of white horses is 4:1.

What is the ratio of the number of black horses to the number of white horses on the farm?

Blossom bought a pack containing 60 stickers. 

If she gave one-fifth of the stickers to Bubbles and one-fourth of the remaining stickers to Buttercup, how many stickers did she have left?

Joel has 16 paper bills in his wallet. 

If Joel only has 10-dollar bills and 20-dollar bills in his wallet, and the total value of the paper bills is $210, how many 20-dollar bills does Joel have in his wallet?

Jack has twice as many stamps as Jill. 

If Jack gives Jill 6 of his stamps, then Jack will have 10 more stamps than Jill.

How many stamps does Jill have at the start?

The video games that Ralph owns are either PS5 games or Nintendo Switch games, and one in six video games is a PS5 game. 

When Ralph sold 10 of the Nintendo Switch games and bought 10 new PS5 games, the ratio of the number of PS5 games to the number of Nintendo Switch games became 1 to 4.

How many PS5 games does Ralph have now?

Two groups of tourists are going on a vacation cruise. 

There are 200 tourists in the first group, 60 percent of which are Australians, while 90 percent of the tourists in the second group are Australians.

If 65 percent of the tourists in the two groups are Australians, what is the combined number of tourists in the two groups?

Mr. Tucker started saving $12 each week at the same time that Mrs. Tucker, who had already saved $270, started spending $15 each week of her savings. 

When they both have the same amount of money, they decide to combine their money.

How much was the combined amount?

Mickey Mouse planted a patch of Bermuda grass in his front yard, and the size of the patch doubles each day. 

If it took 48 days for the patch of Bermuda grass to cover the entire front yard, how many days did it take to cover half of the front yard?

At the jewellery store, each necklace costs $650, and each bracelet costs $325. 

Last week, the jewellery store sold five more necklaces than bracelets and made $15 925 from the sale.

How many necklaces and bracelets did the jewellery store sell last week?

During a science experiment, Dexter weighs the mass of an igneous rock, a metamorphic rock, and a sedimentary rock. 

The igneous rock was 18 grams lighter than the sedimentary rock and half as heavy as the metamorphic rock.

If the average (arithmetic mass) of the three rocks was 46 grams, what is the mass of the sedimentary rock?

A walkway of uniform width surrounds a rectangular garden on all sides. 

The outer length of the walkway is 66 2/3 percent greater than the length of the garden, and the outer width of the walkway is twice the width of the garden.

If the area of the walkway is 8 square metres more than twice the area of the garden, what is the area of the garden?

A ten-litre solution consists of alcohol and water only. 

If the solution contains 3 litres of water, how many more litres of alcohol must be added to create a solution that is 10 percent water by volume?

Jake has two solid metal balls, each made up of copper and brass only. 

The first ball is made up of 2 parts copper for every 3 parts brass, and the other ball is made up of 3 parts copper for every 7 parts brass.

If Jake melted the two balls into one solid 8-kilogram ball made up of 5 parts copper for every 11 parts brass, what was the mass of the first ball?

The number of bacteria in a certain culture doubles every two days. 

It would take 60 days for the culture to be full of bacteria if the culture started with just one bacterium.

How many days will it take for the culture to be full of bacteria if the culture starts with two bacteria?

At the movie premiere of the new Avengers movie, 5 percent of the invited guests arrived late and were able to get inside the theatre, but 60 percent of the guests who arrived late were not able to get inside the theatre. 

What percent of the invited guests at the movie premiere arrived late?

During the opening week of the theme park, 5 400 tickets were sold, all at a discounted promotional price. 

During the succeeding two weeks, five times as many tickets were sold at regular price as were sold at the discounted promotional price.

If a total of 25 200 tickets were sold during the first three weeks, how many tickets were sold at the regular price?

There are only chickens and goats on Aunt Mary’s farm. 

When Aunt Mary counted the legs of the animals, she counted 30 more than twice the number of animals on the farm.

How many goats were there on the farm?

Machine P, working at a constant rate, can make 40 widgets every 160 minutes, while machine Q, working at a constant rate, can make 50 widgets every 125 minutes. 

If the two machines work simultaneously at their respective constant rates, how many minutes will it take the two machines to make 260 widgets?

Last week, Debbie was able to buy a blender, originally priced at $45, for only $27. 

This week, Carol was able to buy the same blender from the same store for 2/9 less than the price that Debbie paid.

By what percent did the store discount the price of the blender this week from its original price?

A box contains only 28 red tokens, 45 green tokens, and 52 blue tokens. 

How many green tokens must be added to the box so that 60 percent of all the tokens are green?

Daphne’s long-distance plan charges a $2.25 connecting fee for each long-distance call plus 35 cents for each 2/5 of a minute. 

If Daphne made a 3.6-minute long-distance call, how much would she be charged?

Yesterday, a bakeshop sold 1/6 of their donuts at $3.50 each and 3/5 at $5 each. 

If there were 28 donuts left unsold, how much did the bakeshop make from selling donuts yesterday?

During a book sale, 3/7 of the books were sold at $20.50 each, and 1/4 were sold at $35 each. 

If the revenue from the sale of the books amounted to $491, how many books were not sold?

A hotel buys twice as many newspapers on Sunday as it does each day from Monday to Saturday. 

If the newspaper costs $4 each on Sunday and $1 each on the rest of the days of the week, and the hotel spends $420 each week on newspapers, how many newspapers does it buy on Saturday?

Dora has enough money to buy 45 rolls of wallpaper. 

If each roll of wallpaper costs 10 cents less, Dora could buy 5 more rolls.

How much money does Dora have to spend on wallpapers?

Huey, Dewey, and Louie agreed to share 240 stickers among themselves. 

Huey got three times as many stickers as Dewey, who got half as many stickers as Louie.

How many more stickers did Huey get than Dewey?

Ed, Edd, and Eddy went to the hardware store to buy some tools. 

Eddy spent 50 percent more than Edd, and Ed spent 5/6 as much as Eddy.

If Ed spent $2 more than Edd, how much did they spend together?

The height of the apple tree is 140 percent the height of the peach tree, the height of the orange tree is 90 percent the height of the lemon tree, and the height of the lemon tree is twice the height of the peach tree. 

The height of the orange tree is what percentage of the height of the apple tree?

At the supermarket, Anna bought 10 bottles of shampoo and 2 bottles of conditioner for $480, while Elsa bought 15 bottles of shampoo and 1 bottle of conditioner for $440. 

How much did Anna spend on the bottles of shampoo?

Lea’s age is 5 years more than twice Han’s age, and Luke’s age is 13 years less than ten times Han’s age. 

If Luke is three times as old as Lea, how old is Lea?