Week 1
8 + 2(2 - 5) ÷ (-3) + 4
14
85 = -5 - 5(8n - 2)
n = -2
One side of a triangle is 18 cm. A second side is 24 cm. What is its hypotenuse?
30 cm
Two people ride their bikes from the same place in opposite directions. If they leave at the same time and person A rides 1.5 times as fast as person B, and in 4 hours, they are 60 miles apart, what are their riding speeds?
Person A rode 9 mph.
Person B rode 6 mph.
A barrel of water weighs 60 pounds. What must you put in it for it to weigh 40 pounds?
A hole.
A rectangle's length is equal to eight times its width. If the area of the rectangle is 392 square inches, what is the width of the rectangle?
7 inches
Write 650,800,000 in scientific notation.
6.508 x 10^8
You have four times as many dimes as pennies and the total amount of money is $10.66. How many dimes and pennies do you have?
26 pennies, 104 dimes
Using a riding lawn mower, the landscaper of a large park can mow the lawn in 8 hours. With a small mower, his assistant needs 14 hours to mow the same lawn. If the landscaper and the assistant work together mowing the lawn, approximately how many hours will it take?
5 hours
You are all alone in a dark room with a match and matchbox. Nearby you have 3 objects: a candle, an oil lamp and a log of firewood. Which thing do you light first?
The match.
Kirsten is 4 times Claire's age. Emily is 6 years older than Claire and 6 years younger than Zack. If Anna is twice as old as Claire and the total of their ages is 81, how old is Kirsten?
28 years old
A broken clock loses 7 minutes each hour. If a normal clock and the broken clock are both set to 12:00 noon, what time will the normal clock read when the broken clock reads 5:18 PM?
6:00 PM
Leonard weighs 208 pounds and sits 7 feet from the fulcrum of a seesaw. If Mark weighs 182 pounds and sits on the other side, how far from the fulcrum must he sit to have the seesaw balance?
8 feet
One pipe can fill a tank in 8 minutes, a second can fill it in 12 minutes and a third can fill it in 24 minutes. If the tank is empty how long will it take the three pipes, operating together, to fill it?
4 minutes
Can you guess the next letter in the series: CYGTNLIT?
S
There are three consecutive even numbers such that twice the first is 20 more than the second. Find the numbers.
22, 24, 26
Suppose you have $4,500 less invested at 3% as you have invested at 9%. The total interest earned after 2 years is $1650, how much do you have in each investment?
$8000 at 9%, $3500 at 3%
There is a certain quadrilateral. The measure of the second angle is 2 times the measure of the first angle, the measure of the third angle is 3 times the measure of the first angle and the measure of the fourth angle is 4 times the measure of the first angle. What are the angles of the quadrilateral?
36°, 72°, 108°, 144°
-7x - 4y = 29
3x = -7 + y
x = -3
y = 2
Three playing cards in a row. Can you name them with these clues? There is a two to the right of a king. A diamond will be found to the left of a spade. An ace is to the left of a heart. A heart is to the left of a spade. Now, identify all three cards.
Ace of diamonds, king of hearts, two of spades.
There are two squares. The length of the side of the larger square is three times the length of a side of the smaller square. If the larger square's perimeter is 48 inches more than the smaller square's perimeter, what is the area of the smaller square?
How many pounds, to the nearest tenth, of mixed nuts that cost $9.25 per pound must be mixed with peanuts that cost $1.15 per pound to yield 10 pounds of mixed nuts with peanuts that cost $3.75 per pound?
3.2 pounds
Suppose you ride a bicycle to a store at a speed of 12 miles/hour. You then walk home at a speed of 2 miles/hour. The total round trip time is 1.2 hours. How far from your starting point, in miles to the nearest two decimals, is the store?
2.06 miles
A motorboat leaves a harbor and travels at an average speed of 8 km/h toward a small island. Two hours later, a cabin cruiser leaves the same harbor and travels at an average speed of 16 km/h toward the same island. How many hours after the cabin cruiser leaves will it be alongside the motorboat?
2 hours.
George, Helen, and Steve are drinking coffee. Bert, Karen, and Dave are drinking soda. Using logic, is Elizabeth drinking coffee or soda?
Elizabeth is drinking coffee.