Grade 06
John notices that there are 13 right-handed players on his baseball team and 2 left-handed players.
What is the ratio of left-handed players to right-handed players?
2 for every 13
A dolphin is swimming with her friend. The dolphin jumps to a height of 4.5 meters above the surface of the water as her friend swims 9.8 meters directly below her.
What is the position of the dolphin's friend to the surface of the water?
-5.3 meters
Estimates show that there are 1.4 * 108 pet fish and 9.4 * 106 pet reptiles in the United States.
How many fish and reptile pets are in the United States altogether?
Express your answer in scientific notation.
1.494 * 108
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average of 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.
How much money did Trevor's family spend, in total, on shower water in the past month?
$86.40
4x + y =10
What is the missing value in the solution to the equation?
(____, -6)
4
When Tom makes strawberry milk, he adds 90 ml of milk for every 20 ml of strawberry syrup. Tom's sister, Ari, adds 180 ml of milk for every 45 ml of strawberry syrup.
Which strawberry milk has a stronger strawberry taste?
Ari's strawberry milk
Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers.
After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 cm per hour.
What was the depth of the snow on Cherry Street after 3 hours?
9 cm
The sum of 5 consecutive even numbers in 100.
What is the first number in this sequence?
16
Kevin is 2 times as old as Gabriela. 12 years ago, Kevin was 6 times as old as Gabriela.
How old is Gabriela now?
15 years old
What is the hypotenuse of a right triangle if two legs are 5 and 12?
13
Finley makes 1 batch of her favorite shade of orange paint by mixing these paint amounts:
5 liters of yellow paint
3 litters of red paint
How many batches of orange paint can Finley make if she has 21 liters of red paint?
7
Vanessa earns a base salary of $400.00 every week with an additional 5% commission on everything she sells. Vanessa sold $1650.00 worth of items last week.
What was Vanessa's total pay last week?
$482.50
The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi.
On average, how much does a llama weigh?
160 kg
Moses bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10.
How much does a liter of milk cost?
$0.75
What is the area of a circle if the diameter is 12cm? (Use 3.14 for the pi)
113.04cm2
Burger Barn makes a dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Sandwich Town makes a dipping sauce by mixing 8 spoonfuls of honey with 2 spoonfuls of mustard.
Whose dipping sauce has a stronger mustard flavor?
The two dipping sauces taste the same.
Liv is going on a 2100-kilometer road trip with 2 friends, whom she will pick up 150 kilometers after she begins the trip and drops off when there are 1500 kilometers remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.
Liv will pay for all of the gas when she is alone in the car, but she and her friends will split the cost evenly when they are together.
How much will Liv pay for gas?
$64.80
Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel.
How old is Ben now?
33 years old
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spices, where the rice-to-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
What is the price of rice per gram?
$0.006
A circle has a circumference of 50.24 in. What is the radius of the circle? (Use 3.14 for pi)
Tim makes scrambled eggs with 3 spoonfuls of milk for every 2 eggs. Gabe adds 7 spoonfuls of milk for every 5 eggs.
Whose scrambled eggs have more milk?
Tim
Josh is hiking Glacier National Park. He has now hiked a total of 17 km and is 2 km short of being half of the way done with his hike.
What is the total length of Josh's hike?
38 km
Rewrite the expression in the form xn.
(x2)4
x8
Victor walked from home to the bus stop at an average speed of 5km/h. He immediately got on his school bus and traveled at an average speed of 60km/h until he got to school. The total distance from his home to school is 35 kilometers, and the entire trip took 1.5 hours.
How many kilometers did Victor cover by walking?
5 km
What is the volume of a cube if the side length of a side is 7m?
343 m3