DAY 1 – Summer Holiday Group 6 Year 6 Math Trial Test

Ben bought 100 widgets for 20 dollars.

He gave 10 of the widgets to his cousin Gwen and sold all the remaining widgets at 10 widgets for D dollars.

In terms of D, how many dollars did Ben make from the sale of the remaining widgets? (Profit = Revenue – Expenses)

A carpenter cuts a piece of lumber 2 metres long into three pieces in the ratio of 5:4:1.

What is the average (arithmetic mean) length of the longest and shortest pieces?

Cinderella is currently 12 years old and her stepmother is three times as old as her.

What will be the ratio of Cinderella’s age and her stepmother’s age six years from today?

The candy store sells chocolates in bundles of 5 boxes for $52. 

If Charlie Brown has $125 to spend on chocolates, what is the greatest number of boxes he can buy?

Inspector Gadget’s desk is filled with pens, two-fifths of which are blue and the rest of the pens are black. 

If Inspector Gadget has 10 blue pens, how many black pens does he have?

The cost of ice cream, C, in dollars depends on the number of toppings, T, that you order. 

If the cost of the ice cream is given by the equation C = 0.75T + 4, what is the meaning of 0.75 in this equation?

Bert and Elmo shared a box of 24 paper clips in a ratio of 5 to 7, respectively. 

When Bert throws away 6 paper clips, the number of paper clips he had left was 2/7 of the number of paper clips that Elmo has.

How many paper clips did Bert have left?

Garfield has a mass of 4.8 kilograms and Odie has a mass of 1315 kilograms.

Odie’s mass is how many times that of Garfield’s mass?

The cost of renting a cap is $2 for the first hour and $1.20 for every succeeding hour after the first hour.

How much will Andrew have to pay for renting a taxi for 5 hours?

There are 540 pairs of shoes at the shoe store.

Of those shoes, 5/9 are athletic shoes and of the athletic shoes, 1/3 are basketball shoes. 

How many pairs of basketball shoes are at the store?

The temperature at Bellwood at 6:00 AM was -8° C.

By noon, the temperature had increased by 23° C, and from noon to 6:00 PM, the temperature decreased by 34° C. 

What was the temperature at 6:00 PM?

The Mario Brothers, Mario and Luigi, were playing a basketball game.

Mario scored 12 more points than Luigi during the game. 

If Mario scored 18 points, how many total points did the Mario Brothers score altogether?

At SpongeBob’s birthday party, the ratio of the number of girls to the number of boys was 9 to 10.

After 27 girls left the party, the new ratio of girls to boys was 3 to 5.

How many boys were at SpongeBob’s birthday party?

Jill earns thrice as much as Jack each week.

If Jack earns $16 each week, how much do both of them earn each week?

A wooden crate contains 12 identical metal balls.

The combined mass of the wooden crate and the metal balls is 27.05 kilograms.

What is the mass of each metal ball if the wooden crate has a mass of 1.25 kilograms?

Peter Parker needs to type a 5-page article for The Daily Bugle.

If each page contains a total of 840 words and Peter can type 40 words per minute, how long will it take him to type the whole article?

Huey is 151 centimetres tall, Dewey is 3 centimetres taller than Huey, and Louie is 3 centimetres taller than Dewey.

What is the combined height of the three?

At the office supply store, a customer can buy 11 markers for $16.

If Wendy bought 11 markers and a notepad for $25 at the office supply store, how much did the notepad cost?

During the school’s bake sale, Dee Dee sold a total of 9 boxes of muffins.

If Dee Dee sold 3 boxes of muffins for $3.60 and sold the remaining boxes for $3.60 each, how much did Dee Dee make from the sale of muffins?

Gil spent 1/5 of his paycheck on rent and spent 1/8 of the remaining money on food.

What fraction of his paycheck does he have left?

Travelling at a rate of 74 kilometres per hour, the Batmobile left Gotham City at 3:15 PM and arrived at Central City at 5:15 PM.

Then the Batmobile travelled another 40 minutes from Central City to Star City at a rate of 54 kilometres per hour.

How far did the Batmobile travel from Gotham City to Star City?

Barbie bought several handbags during the mall sale.

Three-fourths of the handbags she bought cost a total of $233.25 and the remaining three handbags cost $24.25 each.

How much did Barbie pay for all the handbags?

Bert is twice as old as Emmy, and Paul is 10 years younger than Emmy.

If Paul is 30 years old, what is the sum of Bert’s, Emmy’s, and Paul’s ages?

How long was the flight if the airplane left Sunnydale at 2:15 PM and arrived at Autumnville at 4:45 PM?

Jordan bought a Christmas tree and a box of firecrackers for $1 680 for the Holidays.

If the price of the box of firecrackers was 20 percent of that of the Christmas tree, how much did the box of firecrackers cost?

Travelling at a rate of 60 kilometres per hour, it took Link 3 hours to reach Hyrule Castle.

How long would it take Link to travel the same route if he increases his speed by 20 kilometres per hour?

A company received a shipment of 240 boxes, each containing the same number of earphones.

If six of the boxes contained a total of 360 earphones, how many total earphones were in the shipment?

At the grocery store, peppers cost $0.85 each, and onions cost $1.15 each.

What is the cost of purchasing five peppers and five onions?

Ed is 35 percent heavier than Edd, and Eddy is 10 kilograms heavier than Ed.

If Edd is 40 kilograms, what is the combined mass of Ed, Edd, and Eddy?

At The Notting Hill Book Shop, 40 percent of the books were travel books and the rest were art books.

After 24 travel books were sold, the percentage of travel books in the bookshop decreased to 25 percent.

What was the total number of books at The Notting Hill Book Shop at the start?

The Central Perk sold 2 cups of coffee for every 5 drinks it sold.

If Central Perk sold 22 cups of coffee this morning, how many drinks did it sell this morning?

Jimmy Neutron scored 85, 92, and 95 in three of the four IQ tests he took.

How much does he need to get on the fourth IQ test to have an average (arithmetic mean) score of 93 on all four IQ tests?

The farmers at the barley plantation can harvest 6 hectares of barley in one hour.

At this rate, how long will it take the farmers to harvest 21 hectares of barley?

A total of 9 206 people watched Taylor Swift’s concert last night.

If 628 more girls than boys watch the concert, how many girls watched the concert last night?

Dexter bought a new electron microscope and a new computer for his laboratory.

The new electron microscope costs $3 982 and the new computer costs $326 less than the electron microscope.

How much did the new electron microscope and the new computer cost altogether?