Math Trial Test

• An appliance store purchased a toaster for $120 and was selling it at a price that equaled the purchase price plus a markup that was 20 percent of the purchased price.

When the toaster was not sold, the store decided to decrease the selling price by 10 percent, and the toaster was sold. 

At what price was the toaster sold?

• Six men have an average (arithmetic mean) mass of 61 kilograms.

When one man weighing 60 kilograms is replaced by a new man, the average mass becomes 60 kilograms. 

What is the mass of the new man?

• Big Bird went to the office supply store and bought 125 crayons and 50 sharpeners for $100.

If each eraser costs 50 cents, how much did each crayon cost?

• Jane Jetson is currently twice as old as George Jetson.

Six years ago, George Jetson was 2 years old. 

How old is Jane Jetson today?

• A truck gets between 20 and 24 kilometres per litre of diesel, inclusive.

What would be the maximum amount of diesel the truck would consume on a trip of 360 kilometres?

• Jack is 10 years old and Jill is 20 years old.

What is the product of the greatest common divisor of their ages and the lowest common multiple of their ages?

• Forty percent of Bugs Bunny’s backyard is occupied by a rectangular garden that measures 4 metres by 9 metres.

What is the area of Bugs Bunny’s backyard?

The circle graph below shows the number of weeks of vacation taken annually by those in the workforce.

There are 2 000 people in the workforce, of whom 46 percent are female. 

If 20 percent of male workers take 1 week of vacation, how many female workers take 1 week of vacation?

• Twenty percent of Bellwood’s annual exports come from fruit exports.

One-sixth of all fruit exports from Bellwood are orange exports. 

If Bellwood generates $4.25 million from its orange exports, how much money does it generate from its annual total of exports?

• Each box in the shipment contains 80 packages, and each package contains 100 bags of cookies.

How many boxes are there in a shipment of 240 000 bags of cookies?

• Blossom, Bubbles, and Buttercup each have a collection of stamps.

Blossom and Bubbles have an average (arithmetic mean) of 38 stamps, Bubbles and Buttercup have an average of 48 stamps, and Blossom and Buttercup have an average of 58 stamps.

If Bubbles have 28 stamps, what is the average number of stamps the three of them have?

• Each year, Willie Wonka works for 40 hours each week for 50 weeks.

Last year, he was paid a total of $20 000.

This year, his hourly rate increased by $0.50.

How much was Willie Wonka paid this year?

• Jack downloaded 10 apps and 2 ebooks for $48, while Jill downloaded 10 apps and 1 ebook for $34.

How much did Jack spend on ebooks, if all apps are the same price and all ebooks are the same price?

• Five years ago, Erica was three times as old as Andrea.

In three years, Erica will be 32 years old. 

What is the sum of their current ages?

• A trapezium has bases of lengths 10 centimetres and 12 centimetres.

If the trapezium has a height of 3 centimetres, what is its area?

• The Board of Directors of Stark Industries consists of 10 people.

Five of the directors have an annual salary of $20 000, 4 had an annual salary of $25 000, and one had an annual salary of $30 000. 

If each director will receive a bonus pay equal to 10 percent of their annual salary, what was the total amount of the bonuses?

• When driving around the city, a car can travel 20 kilometres per litre of petrol.

When driving on the freeway, the car gets 15 percent more kilometres per litre of petrol.

How many kilometres can the car travel with one litre of petrol on the freeway?

• Six friends shared a cab to the airport and, at the end of their ride, added a 10 percent tip to their fare.

If each friend paid $22 in total, what was the amount of their fare, not inclusive of the tip?

• Donald Duck is running a race on a course that has him run from the starting line to a turnaround point, then directly back along the same course to the starting line.

If he has already reached the turnaround point and covered 20 percent of the distance back to the starting line, what percent of the race has he completed?

• Phineas is currently 12 years older than Ferb.

In 6 years, Ferb will be 12 years old. 

How old is Phineas today?

• Krusty Kustard only sells glazed and cream-filled donuts.

A glazed donut has 200 calories, while a cream-filled donut has 360 calories. 

If Miss Piggy ate 1 glazed donut and some cream-filled donuts totalling 1 640 calories, how many cream-filled donuts did she eat?

• Huck and Tom have 240 baseball cards together.

Huck has 3 times as many baseball cards as Tom.

How many baseball cards does Tom have?

• Miriam has six more tapes than Peter.

If Peter gives two tapes to John, and then Peter buys five new tapes, how many more tapes does Miriam have than Peter?

• Three friends ate a total of 14 slices of pizza.

If two of the friends ate the same number of slices, and the third ate two more slices than each of the other two, how many slices were eaten by the third friend?

• Oscorp reported that the revenue on sales increased 40 percent from 2010 to 2013, and increased 80 percent from 2010 to 2015.

What was the approximate percent increase in revenue from 2013 to 2015?

In the number line below, the length of AB equals the length of BC, and the length of BC equals the length of CD.

If the length of BD is 36 centimetres, what is the length of AB?

• Lisa is paid $2 each for the first 100 birdhouses she painted, and $1.50 for each additional birdhouse after that.

How much is Lisa paid if she painted 600 birdhouses?

• The perimeter of a square equals the perimeter of a rectangle whose length and width are 6 metres and 4 metres, respectively.

What is the area of the square?

• If two places are one centimetre apart on a map, then they are actually 160 kilometres apart.

If Sunnydale is 23/8 centimetres from Greenwoods on the map, how many kilometres is it from Sunnydale to Greenwoods?

• The Batmobile with a full 12-litre tank consumed half the petrol in the tank to make a 150-kilometre trip.

How many kilometres per litre did the Batmobile average on the trip?

• Jon Snow is currently 12 years younger than Robb Stark.

Five years ago, Jon Snow was 12 years old. 

How old will Robb Stark be next year?

• Bart is planning to buy a new video game that costs $250.

He had already saved $100, and planned to save $35 each week. 

In how many weeks will he have enough money to buy the new video game?

• Of the 60 associates at Fish and Cage Law firm, 30 percent are second-year associates, and 60 percent are not first-year associates.

How many of the associates at the law firm have been there for more than two years?

• Dora wants to shrink the size of the map she found to make it easier to carry.

The map currently has a length of 1 024 centimetres and a width of 768 centimetres. 

If she reduces the length to 800 centimetres, to what width must she reduce the map to preserve the same ratio of length to width?

• Two runners’ race times sum to 170 seconds and one of the race times is 10 seconds less than twice the other.

What is the faster race time?