Fractions
Simplify: 16/32
1/2
(-63) + 22 =
(-41)
12.96 ÷ 6
2.16
(30/5) + 2 x 3 =
12
What are the chances of flipping a coin three times, and getting at least two tails? Show your work with a tree or table.
P(at least 2 tails) = 4/8 = 1/2
Simplify: 60/144
5/12
Pythagoras was born about 582 BC. Isaac Newton was born in 1643 AD. How many years apart were they born? Draw a number line and an equation to show your answer.
1643 - (-582) = 2225 years
A cyclist has traveled 145.8 km in the first stage of a race, 136.65 km in the second stage and 162.62 km in the third. How many kilometers must the cyclist still complete if the entire race is 1000 km in length?
the cyclist still needs to cover 554.93 km distance
(5 * 3)6 + 8 ÷ 2 - 6 + 3 =
91
Andrew ask a friend to think of a number from six to fifteen. What is the probability that his number will be 7?
P(7) = 1/10
Mr. Schmidt drives to work using two roads. One road is 6 1/3 miles long and the other road is 4 3/4 miles long. If a direct road were built between Mr. Schmidt and his workplace, it would be 7 7/8 miles long. How many miles would this road save Mr. Schmidt each trip?
3 5/24
? – (-96) = 190
? = 94
There are 240 boxes with 25 bags of coffee each. If each bag weighs 0.62 kg, what is the total weight of all the coffee?
37120 kg
4 + 2(8 x 8 - 4) - 20 ÷ 2 =
110
Each of the letters in the word SAMSUNG are on separate cards, face down on the table. If you pick a card at random, what is the probability that its letter will be S or U?
P(U or S) = 3/7
At McDonald’s, a cheeseburger has 1/10 pound of meat. A quarter-pounder has 1/4 pound of meat. How much more meat is used for a quarter-pounder than a double cheeseburger?
10/40 - 4/40 = 6/40 = 3/20 pounds more
In a well, there is 800 liters of water. At the top, there is a pipe that deposits 25 liters per minute into the well, and at the bottom, there is another pipe that withdraws 30 liters per minute from the same well. How many liters of water will there be in the well after 15 minutes of the pipes functioning?
725 liters
In a well filled with water, 184.5 liters are removed followed by 128.75 liters and finally 84.5 liters. After these withdrawals, there are 160 liters in the well. How much water did the well originally have?
557.75 liters
5 x 2 + 10 - 3 x 5 x 5 =
-55
You think of a number from the first twenty negative integers. What is the probability that the integer chosen will be divisible by 4?
P(divisible by 4) = 5/20 = 1/4
A piece of paper is 8 1/2 inches by 11 inches. What are its dimensions if 2 3/5 inches are cut from the width, and 3 3/8 inches from the length?
Width: 5 9/10
Length: 7 5/8
The air temperature in the atmosphere decreases at the rate of 9 ºC every 300 meters. What height would a plane have to fly to experience a temperature of -81ºC? The temperature is 0º C at sea level.
2700m
James has a rectangular box. The length of the box is 25.78 cm and its width is 7.16 cm less than its length. What is the area of the rectangle.
480.0236 cm squared
Make an order of operations problem with at least 8 steps, which uses positive and negative integers and has answer of -12.
Responses vary
You roll a twelve-sided die, and spin a spinner divided into 5 different colours. What are the chances that you will roll an odd number and land on the colour red?
P(odd, red) = 6/60 = 1/10