ID 690

ID 693

ID 718

It costs $24 to paint a cube.

Before painting, we divide the cube into two rectangular boxes.

How much will it cost to paint these two boxes?

ID 719

The original price of an umbrella was $16.

What was the price of the umbrella after two 5% markdowns?

ID 727

A food stand buys ice cream cones in packages of 8 and cartons of 14.

What is the least number of packages and cartons of ice cream that need to be bought to have an equal number of ice cream cones?

ID 741

500 employees work for company XYZ, where the ratio of men to women is 6 to 4.

If 20 men leave the company and 10 women are hired, what is the new ratio of men to women?

ID 742

Anna is a member of Greenland Velo's race team.

This summer, she has won only 6 out of 16 races.

How many races must she now win in a row to achieve a winning record of exactly 60%?

ID 743

A $10 million lottery pot is divided into equal increments over 20 years. The government retains 35% of the total for taxes.

How much could the winner expect to receive after taxes each year?

ID 744

If three students eat three apples in 33 seconds, how long will it take nine students to eat 19 apples?

NOTE: They do not cut the apples into small parts.

ID 761

A 2-meter wide path is constructed around the outside of a rectangular garden that is 50 m by 100 m.

What is the area of the pathway?

ID 763

A lottery has one $8000 prize, two $2000 prizes, and twelve $500 prizes.

The organizers retain 10% of the ticket price.

Two thousand tickets are sold.

What is a ticket price?

ID 1017

ID 1337

The picture shows four supermarket lines, viewed from above.

The numbers are estimations of the items in the shoppers' baskets.

It takes two seconds to count one item and 30 seconds for a customer to pay.

Which line do you choose?

ID 1604

ID 1735

Apples are sold in bags of eleven that cost $11 per bag, or bags of nine that cost $10 per bag.

What is the lowest cost for 111 apples?

ID 1764

ID 1805

The area of the white cross is 45% of the area of the square flag.

Five white squares form the cross.

Which is the side length of the white square?

ID 1858

ID 1861

The picture shows an example of the Aztec code for Wikipedia.

Estimate the area of the design that is black.

ID 1885

A jigsaw puzzle consists of 250 identical pieces to spread on a plane.

A link is a connection of two pieces.

What is the largest possible number of links in which the puzzle can be assembled?

ID 1897

I completely covered a one square meter area with $100 bills without any overlap or gaps.

What is the least amount of money that I spent if the bill size is 157 x 66 mm and its area is 0.01036 m^{2}?

ID 1979

ID 1994

A chain with 3 links is 10 cm long.

A chain made from 5 links of the same type is 16 cm long.

How long is a chain with 35 such links?

ID 2061

All sizes can be 1% bigger or smaller compared with the initial design sizes.

Find the maximum possible size X.

ID 2175

I can buy gold bars in boxes of 25 kilograms, 45 kilograms, 65 kilograms, and 85 kilograms.

What is the smallest number of boxes I will buy if I want exactly 500 kilograms?

ID 2181

In a survey of customers, 2/3 of the female clients and 3/4 of the male clients preferred using antiglare display computers over glossy display computers.

Women make up 36% of the clients in the region.

What percent of the clients prefer to use antiglare display computers?

ID 2999

Americans measure the temperature in ^{o}F.

Europeans measure the temperature in ^{o}C.

The formula to convert Fahrenheit to Celsius is:

c = 5 (f - 32) / 9

where / is the symbol for division, f represents the temperature in ^{o}F and c represents the temperature in ^{o}C.

What is the temperature in ^{o}F when it is 10^{o}C?

ID 3008

Jim bought a laptop at 25% off the regular price of $500.00.

He also bought a printer at 40% off the regular price of $250.00.

Find the amount of his discount.

ID 3015

The drama club is selling tickets to a play for $9 per ticket.

The cost to rent the theater and costumes is $500.

In addition, the printers are charging $1.5 per ticket to print the tickets.

How many tickets must the drama club sell to make a profit?

ID 3020

ID 3024

A particular stock is valued at $40 per share.

The value increases by 25% and then decreases by 16%.

What is the value of the stock per share?

ID 3026

Three friends visited a restaurant where everything costs $0.50.

They ordered four teas, five cakes, and a coffee.

They gave the waiter 15% of the sum of the bill as a tip.

They paid with a $10 note.

What was the change?

ID 3044

A stadium security system consists of two stages.

In the first stage, 70% of the spectators are inspected.

In the second stage, 90% of the people undergo an inspection.

Estimate the percentage of the spectators who do not undergo any inspection.

ID 3045

Sixty carpenters and forty plumbers work together.

The average daily rate of a carpenter is $200 while the average daily rate of a plumber is $300.

What is the average daily rate of all those involved in the project?

ID 3050

There are 130 cars in a village of 30 families.

Each family has either 4 or 5 cars.

How many families have 5 cars?

ID 3053

John buys shares in the stock market for $1000.

He sells the shares when the value of the shares doubles.

He pays a 5% transaction fee on both his purchase price and sale price.

How much proﬁt does John make?

NOTE: When a transaction fee is paid for a stock purchase, the amount of stock
purchased is reduced by that commission.

ID 3054

A girl drives from home to her school at an average speed of 50 miles per hour, and she drives back at an average speed of 70 miles per hour.

What is her average speed for the whole journey?

ID 3055

A 100-liter vessel is full of a mixture of juice concentrate and water, in which there is 60% concentrate.

50 liters are sold, and the vessel is filled up with water.

What is the new fraction of the juice concentrate?

ID 3056

A 100-liter vessel is full of a mixture of juice concentrate and water, in which there is 60% concentrate.

40 liters are sold, and the vessel is filled up with water.

What is the new fraction of the juice concentrate?

ID 3057

A stadium contains 20,000 seats. At a match, 20% of the seats remain empty.

One ticket costs $20.

Find the cost of the total tickets sold.

ID 3058

Normal milk has 36 grams of fat in a bottle.

Fat free milk has 6 grams of fat in the same bottle.

Estimate the approximate percentage of fat that is removed from normal milk to produce 'fat free' milk.

ID 3060

A car that originally sold for $40,000 depreciates at a rate of 50% per year.

What is the value of the car after eight years?

ID 3110

John put $10,000.00 in a savings account at an annual interest rate of 5%. He pays 20% tax on earnings.

How much will he have in 1 year?

ID 3126

In a basketball tournament, a team is eliminated after a defeat.

There can be no draws, and twenty teams participate in the tournament.

What is the number of games that can be played?

ID 3253

A class picnic is estimated to cost $192.

The boys agreed to contribute $1 more than the girls.

If there are 12 boys and 8 girls in the class, how much money should each boy contribute?

ID 3472

A total of 321 employees work for company XYZ and two thirds of them are men.

To obtain a workforce in which the number of men and women are equal, how many women should be hired?

ID 3474

A man weight and his equipment weigh 180kg on Earth.

If he takes the same set of scales to the moon and weighs himself there, the scales would read 30kg.

If the Great Pyramid of Pharaoh Khufu weighs about 6.6 million tons, what would be its weight on the moon?

ID 3486

The picture shows a simplified statement of income for company ABC in millions.

How does the profit change if the revenue decreases by 7% and the expenses increase by 10%?

ID 3499

A race car is constructed from ultra-lightweight materials.

The car weighs 640kg (1,411 lb) including the driver and a full fuel tank.

The fuel is 25% of the total weight.

What will the car weigh with 20% of the maximum fuel?

ID 3500

I bought a 15''-screen laptop with the ratio of the screen height to the width 4 : 3.

What is the screen's width?

ID 3766

To unlock his mobile device, Alex must enter the four different digits of his security code in the correct order.

He remembers the four different digits.

However, since he cannot recall the order of the last three digits, he correctly enters the first digit followed by the last three digits in a random order.

What is the probability that Alex unlocks his device in three attempts?

ID 3856

Anna has 8 biscuits, Bill has 6, and Cindy has 1. They share them out equally. Cindy pays for her biscuits by leaving 8 wafers.

What is the fairest way for Anna and Bill to share out their wafers?

ID 3898

ID 3991

The picture shows the rectangular floor plan of the first level of a house.

Both the bathroom and the kitchen are square with areas of 4 square meters and 64 square meters, respectively.

The dining room is rectangular with an area of 96 square meters.

What is the foyer area?

ID 4027

A revolving door with three wings makes 5 complete rotations in a minute.

There is room for a maximum of three people in each of the door sectors.

What is the maximum number of people that can leave the building through the door in 5 minutes?

ID 4179

On a trip, Evguenia cycled 5 km in the first 15 minutes and then 4 km in the next 12 minutes.

Which one of the following statements is correct?

The question is typical for PISA Test.

PISA stands for Programme for International Student Assessment.

ID 4213

Mr. Smith bought glasses for all members of his family including animals and him.

If every pair of glasses costs $10 and the tax is 8%, how much money did he spend?

ID 4275

Jim can eat a 10-inch pizza in 16 minutes.

How long will it take for Jim to eat a 15-inch pizza at the same rate?

ID 4305

You have 3 coins.

One is counterfeit and is either heavier or lighter than the other two.

How many moves are needed with a balance beam scale to isolate the counterfeit coin?

ID 4413

Tickets for a football game are available for $29 in advance or $39 if purchased on the day of the game.

The organizers had revenue of $68,000 for the game and they sold 2,000 tickets.

How many tickets were sold in advance?

ID 4468

John starts a taxi business and rents a car for $77 per day.

The rent includes gas and insurance.

He plans to charge $9 for a ride inside his town borders.

What is the minimum number of rides he needs to drive if he wishes to earn a daily profit of at least $29?

ID 4507

Food is 24% of the Smith family (8 members) monthly budget of $15,000.

Next month, two dogs will join the family.

How much must Mr. Smith earn to keep the same cash balance for the family?

ID 4511

ID 4513

ID 4572

Jane and Gerry are lost in a forest.

Gerry walks east, while Jane walks south 25% slower than Gerry.

After 49 min, Gerry is 4 km from the starting point.

How far is he from Jane?

ID 4669

John is Jim's son.

Jay is John's son.

John is a doctor's son.

His father is not a doctor.

Who is the doctor?

ID 4677

A pavement stone's side length is 9 cm and it weighs 20kg.

How much stone do I need to pave a city square 10 m x 10 m if the distance between the stones is 1 cm?

Just to remind you 1 m = 100 cm.

ID 4746

Gerry puts 1/10 of his weekly allowance in the bank for college.

If he has $208.00 dollars in the bank from a full year's deposits alone, how much is his weekly allowance?

ID 4826

Australia defeated American Samoa and set a world record for the largest victory in an international football (soccer) match, winning the game 31 – 0.

If the match lasted 93 minutes, how many goals did the audience watch in an hour?

ID 5003

Estimate the volume of Bob if he weighs 100kg.

1kg = 2.2 pounds

1 liter (1 l) is the volume of 1kg of water.

ID 5079

A boat has a ladder that has eight rungs. Each rung is 20cm apart. The bottom rung is 20cm from the water. The tide rises at 20cm every 10 minutes. High tide peaks in one hour.

When the tide is at its highest, how many rungs are under water?

ID 5082

Use of composite materials decreases the weight of passenger airplanes.

How does the weight of a passenger airplane change if 40% of its structure are composite materials?

ID 5179

Modern petrol-electric hybrid cars typically have so many sensors that you can do interesting things like measure, log, and plot the power going to the wheels. This is such a plot, measured on level ground during the course of one day with relatively constant temperatures, no rain, and not especially windy.

Below 30 mph the car was running on electric power only. Above that it was doing its own hybrid thing with the engine running.

What can you conclude from the plot alone?

(NOTE: The power should at least double every time you double the speed since at twice the speed that part of the journey is half as long.)

The problem was suggested by Leslie Green

ID 5196

ID 5245

Dieter's new design of frequency-doubling power converter has an efficiency of 40%, a good figure for this particular type of device.

Kerstin's design is half the price so it is worthy of consideration, despite the fact that for the same power input, Kerstin's design produces 25% less output power than Dieter's.

What is the efficiency of Kerstin's design?

[ NOTE: Efficiency = 100% x (output power) / (input power) ]

Author: Leslie Green

ID 5249

ID 5301

A frog jumps around outside edge of a room from a dark tile to the next dark tile.

It jumps 8 times to arrive to the initial tile.

How many times does it jump in a similar 9x9 tiled room?