Math Contest (1)
There are 20 pens to be given away to 4 students. Each student receives a different number of pens and each student receives at least one pen. What is the largest number of pens that a student can receive?
14
Tian measured her steps and found that it took her 625 steps to walk 500 m. If she walks 10 000 steps at this same rate, what distance will she walk?
8000m
Use the numbers 2, 3, 4, and 5 and the symbols + and = to make a true math equation.
2 + 5 = 3 + 4
What can you put between 7 and 8 to get a result bigger than 7, but not quite as high as 8?
A decimal point
How many times can you subtract five from twenty-five?
once
The mean (average) of 5 consecutive integers is 9. What is the smallest of these 5 integers?
7
20(x + y) − 19(y + x) = ?
x + y
Using only addition, add eight 8s to get the number 1,000.
888 + 88 + 8 + 8 + 8
When my dad was 31, I was just 8 years old. Now his age is twice as old as my age. What is my present age?
23
You planted sunflower seeds in your garden. Every day, the number of flowers doubles. If it takes 52 days for the flowers to fill the garden, how many days would it take for them to fill half the garden?
51
The town of Cans is north of the town of Ernie. The town of Dundee is south of Cans but north of Ernie. The town of Arva is south of the town of Blythe and is north of both Dundee and Cans. What town is the most North?
Blythe
If the line that passes through the points (2, 7) and (a, 3a) has a slope of 2, the value of a is
a = 3
Tom was asked to paint numbers outside 100 apartments, which means he will have to paint numbers 1 through 100. How many times will he have to paint the number 8?
20 times (8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88 [two 8s], 89, 98)
Ryan can place 8 large boxes or 10 small boxes into a carton for transporting them. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
11 cartons
Peter owns a pet store. He puts one bird per cage but has one bird too many. If he puts two birds in each cage, he has one cage too many. How many cages and birds does he have?
3 cages, 4 birds
If x = 2 and v = 3x, then the value of (2v − 5) − (2x − 5)
8
If x and y are positive integers with x + y = 31, then the largest possible value of xy is
240 (15 and 16)
A 300-foot train traveling 300 feet per minute must travel through a 300-foot-long tunnel. How long will it take the train to travel through the tunnel?
2 minutes. (It takes the front of the train 1 minute, and the rest of the train will take 1 more minute to clear the tunnel.)
There is a three-digit number. The second is four times as big as the third number, while the first is three less than the second digit. What is the number?
141
A small number of cards have been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?
47
Seven children, each with the same birthday, were born in seven consecutive years. The sum of the ages of the youngest three children is 42. What is the sum of the ages of the oldest three?
Since the seven children were born in seven consecutive years, then the oldest child is 4 years older than the oldest of the three youngest children, the second oldest child is 4 years older than the second oldest of the three youngest children, and the third oldest child is 4 years older than the youngest child. Since the sum of the ages of the three youngest children is 42, then the sum of the ages of the three oldest children is 42 + 4 + 4 + 4 = 54.
If x is 20% of y and x is 50% of z, then what percentage is z of y?8. If x = 2 and v = 3x, then the value of (2v − 5) − (2x − 5)
Since x is 20% of y, then x = 20/100 y = 1/5 y. Since x is 50% of z, then x = 1/2 z.
Therefore, 1/5 y = 1/2 z which gives 2/5 y = z. Thus, z = 40/100 y and so z is 40% of y.
What is the smallest number that increases by 12 when it is flipped and turned upside down?
86, becomes 98 when flipped upside down
If 4 + 5 is 9, and 9 + 9 is 6, what is 11 + 3?
2 (clock)
A duck was given $9, a spider was given $36, and a fish was given nothing. Based on this information, how much money would be given to a dog?
$18 ($4.50 per leg)