Find the smallest positive integer that must be added to 2010 in order to obtain a perfect square (a square of an integer).
If you replace a, b, c and d with the numbers 1, 2, 3 and 4, what is the largest possible sum of the fractions?
Add up all the digits of each license plate without using a calculator.
Find the plate with the largest total.
Remember, there may be more than one correct answer.
In order to earn an A, students need to score at least 90% on the final test.
Who did not obtain an A in the class?
Ann has $999 and Bill has $1,111.
How much money does Bill need to give to Ann, so that they would have the same amount of money?
I add three different numbers chosen from the following numbers: 1, 2, 3, 4, 5, 6.
How many different sums can I get?
What is the difference between the sums of the twenty largest and twenty smallest two-digit numbers?
How many positive whole (integer) numbers containing no zeros have the sum of their digits equal to 4?
What is the largest integer number that satisfies this condition:
each digit from the second is double the preceding digit?
Anna has 100,000 strands of hair with an average length of 40 cm or 1.31 ft.
How long is her hair?
Remember 1 km = 1000 meters = 100,000 cm = 0.62 miles
The deadline for a project was originally Wednesday, September 17th.
The deadline was then changed to 48 days later.
What day of the week is the new deadline?
If 1 gram of grass seed is needed to plant 1 square meter, how much grass seed will be needed to plant an entire field that is 110 meters long and 70 meters wide?
Captain Hook has two pieces of rope.
One piece of rope is 84 meters and the other is 108 meters. He plans to cut the rope into pieces of equal length, with no rope left over.
What is the greatest possible length of each piece?
John's heart beats at a rate of 65 beats a minute when he is awake and 50 beats a minute when he sleeps (8 hours).
How many times does his heart beat in twenty-four hours?
Each of four children chose one of the following numbers: 1, 2, 3, 4.
They then multiply the chosen numbers.
Which number cannot be the product of those numbers?
Bill has 7/8 of a melon.
He eats 1/3 of the original melon at breakfast.
What fraction of the original melon does he have left?
Put a plus sign or a multiplication sign between the following numbers to make the largest possible result.
How many times do you use the plus sign?
If there are only 2 fields on the dartboard with 5 and 7 points, how many times must you throw your darts to score 32?
A shop owner uses the same wheels for tricycles and bicycles.
How many bicycles and tricycles can he assemble from 77 wheels if he always produces twice as many bicycles?
What is the difference between the biggest and the smallest four-digit integers each formed by different digits?
The maximum capacity of the Wembley Stadium, London, England, is 90,000.
The stadium contains 2,618 toilets, more than any other venue in the world.
There are 78,540 people in the stadium now.
How many more people are able to see the concert before it reaches capacity?
Factors are whole numbers you can multiply together to get another number.
Find the largest positive factor of 999 except itself.
What is the sum of its digits?
The number 6 has exactly four positive divisors: 1, 2, 3, and 6.
What is the smallest number that has 6 positive divisors?
The Locarno Film Festival is a famous event held in Switzerland. The Piazza Grande is converted into an 8,000 seat open-air cinema every night. Two films are screened, one at 21:30 and the other at 23:30, with most seats usually being sold.
Estimate how many people are expected to visit the venue daily if 80% of them watch one film and 20% - two films.
A pack of 500 paper sheets is 6cm thick.
Estimate the number of sheets in a pile 1m high.
1m = 100cm = 1,000mm
Present 10 as a sum of positive whole numbers such that their product is at its maximum value.
What is the product?
We form shapes with squares 1 cm high.
The first four stages of a sequence are shown in the picture.
What is the perimeter of the seventh stage in the sequence?
We perform a multiplication
9 x 10 x 10 x 10 x 10 x ... x 10 = ?
The triple dots ( ... ), known as an ellipsis, means there are some tens missing from the equation.
Suppose there are a total of 100 tens in the equation.
How many noughts are there in the result?
Author: Leslie Green