(5 x 105) + (4 x 104) + (3 x 103) + (2 x 102) + (1 x 101) + (0 x 100)
written in standard form?
The diagram shows two sets of numbers: set A and set B.
Find the correct descriptions for sets A and B.
What whole number 'X' makes this statement true?
Remember, there may be more than one correct answer.
You can purchase or rent a car.
The car is available at a rental fee of $250 per day (all inclusive).
Purchasing the car costs you $50,000 for the investment and $50 per day.
After how many days would the cost of renting and purchasing be equal?
Choose the answer without using a calculator.
I multiply together the following numbers:
6, 7, 8, 9, 10, 11, 12, 13, 14 and 15
How many zeros are at the end of the product?
Two positive numbers B and E are at the same distance from 1.
Which point on the number line represents the product of the numbers B and E?
How many steps are required to break an M x N bar of chocolate into 1 x 1 pieces?
You cannot break two or more pieces at once.
Three large glasses of juice contain the same amount as four medium glasses.
Three medium glasses of juice contain the same amount as four small glasses.
How many small glasses contain the same amount as nine large glasses?
Four sisters are all 2.5 years apart in age.
The total of their ages is equal to 29 years.
How old is the oldest sister?
If you need 6 blocks for a 3-step staircase, how many blocks would you need for a 13-step staircase?
A4321 is a five-digit number in which A is a digit and the number is evenly divisible by 9.
Find the value of A.
Anna has an average of 85 on 4 different tests.
If the lowest score is dropped, her average rises to 90.
What is her lowest score?
A box with 80 matches weighs 60 grams.
The same box with 40 matches weighs 40 grams.
Find the weight of the box.
Each boy danced with exactly three girls and each girl danced with exactly four boys at a party.
If thirty-five students attended the party, how many boys were there?
Multimedia Messaging Service, or MMS, is a standard way to send messages that contain multimedia content to and from mobile phones.
Every student in a seventh grade class sends an MMS to each of the other students in the class.
There are 210 messages.
How many students are there in the class?
A baby is born every six hours, three deaths occur every week, and five foreigners come every month to an island.
How many people are added to the population of the island each year?
The profit, P, a stadium makes selling X tickets can be determined by the formula
P = 12 X - 9000
If the stadium made a profit of $12 on a game, how many tickets were sold?
A picture that measures 9 inches by 16 inches is enlarged to 4 times its area.
What are the new dimensions?
Two numbers are such that their difference, their sum, and their product are in the ratio 1 : 3 : 8.
What are the two numbers?
I have 1 ton of coins that are 80% gold and 20% copper.
I want to melt them down and add enough gold to make a large 90% gold coin.
How much gold should be added?
At a business meeting, each shakes hands with 7 other people.
If there are 56 handshakes, how many people are there?
A girl rides her bike 4 km in 15 minutes. How long will it take her to ride 15 km, assuming she doesn't get tired?
John borrows $3,000 to pay for new furniture.
He will pay back the loan by making 12 monthly payments of $333.
How much does the loan cost?
Gerry walks half a distance at 4mph and runs back the other half faster.
If the total distance is 12 miles and it takes 2 hours for the entire trip, how fast does he run?
When a glass is a quarter empty it contains 110 ml more than when it is a quarter full.
How many milliliters does the glass hold when it is full?
Fifty-five liters of apple juice are bottled in 90 bottles.
Some of them have volumes of 0.5 liter, the others have volumes of 0.75 liter.
How many of the small bottles were used?
Which mathematical symbol can be placed in the blank to make the statement true?
111 x 99999 - 33 x 555 _____ 11111 x 999 - 333 x 55
A 12-dollar T-shirt costs as much as 3 pairs of socks.
A pack of 5 pairs costs 20% less compared to the price per pair.
A coach wants to buy 12 T-shirts and 12 pairs of socks for his team.
How much money does he need?
Every kid has the same amount of money.
How much must each boy give to the girls (as a group) so that each girl ends up with 10 dollars more than each boy?
(The girls split any money received equally between themselves.)
Hedgehog and Tortoise
A hedgehog challenges a tortoise to a footrace.
They start together to circle a circus ring. The tortoise circles the ring in 6 hours and the hedgehog in 4 hours.
He is a lazy guy.
How many hours elapse before the hedgehog passes the tortoise?
A shopkeeper wants to create a cacao drink blend that has regular cacao powder mixed with premium cacao in a ratio of 3:2.
He already has 100-kg mixture in which the ratio of regular to premium cacao is 2:3.
How many kilograms of regular cacao powder does he need to add to get his desired ratio?
Choose six different positive integer numbers whose average is 6.
What is the largest possible number that can be among them?
Jane said to Gerry 'If you give me one goldfish, then we will have an equal number of fish.'
Gerry replied 'If you give me one fish, then I will have double the number you have!'
What was the total number of fish they had?
A dog chasing a frog, which has a start of 23m, jumps 3m every time the frog jumps 2m.
In how many leaps does the dog overtake the frog?
Jane's and Gerry's families decided to give donations to the Wildlife Natural Reserve according the following rules: everybody gives his/her own money, the equal amount for each adult and four times smaller amount for each child.
Jane's family gave $440 for 2 adults and 3 children.
How much did Gerry's family give for 2 adults and 5 children?
Leslie Green asks:
A particular function takes a value X, multiplies it by 4, adds 16 to the result, then takes the square root of the result.
Can you simplify this function?
Leslie Green asks:
In mathematical language, a function can be considered as a rule to transform something into something else. The inverse function will then change it back again.
If the function gives the square of the input, what is the inverse function?
Your school organizes a pancake dinner to raise money for a field trip.
You estimate that 120 children and 70 adults will attend.
You decided that the adult ticket costs 4 times more than the student ticket.
What is the student ticket price you set in order to raise $2,000?
One-fourth of the cars in a car park are 4x4.
Another car arrives and now one-fifth of the cars are 4x4.
How many cars are now in the car park?
The graph shows the total amount of money John has saved over seven weeks.
If John continues to save the same amount of money each week, what will his total savings be in a year?
Ten matchsticks form three squares.
How many squares can be formed in the same manner with 100 matchsticks?
Leslie Green asks:
Painting with a roller is faster for large areas, but requires more clean-up of the roller and tray.
Let' suppose a roller covers twice the area in a given time compared to a paint brush, but that cleaning the brush takes 5 minutes whereas cleaning the roller and tray takes 20 minutes.
Beyond what length of painting job does the roller become quicker?
Jane scored 4 more points than Mary in the basketball game, and their scores together made up a half of the team's total score of 68 points.
How many points did Jane score?