Arithmetic and Counting
Between Cristiano Ronaldo and Lebron James, who has a higher vertical jump ?
LeBron James
The sum of three consecutive even integers is 78. What are the integers?
Answer
The integers are 24, 26, and 28.
How much is a burger only meal at Gangbao ?
Answer
$1000
Group A has 10 members, and the average score of the group is 60. Group B has 15 members, and the average score of the group is 80. What is the new average score of the combined group?
Answer
The new average score of the combined group is 72.
What is the sum of the first 20 positive integers?
Answer
210
A car rental company charges a fixed rental fee of $55 per day plus $0.35 per mile driven. If a person rented a car for 4 days and drove 200 miles, how much did the rental cost?
The total rental cost is $290
A hospital administers a medication that is dosed at 10 mg per kilogram of body weight. If a patient weighs 70 kg, what is the total dosage of the medication they should receive?
Answer
700 mg (10 mg × 70 kg)
A nonagon (nine-sided shape) has seven angles measuring 110°, 120°, 130°, 140°, 150°, 160°, and 170°. The eighth and ninth angles are equal. What is the measure of the eighth and ninth angles?
Answer
The measure of the eighth and ninth angles is 90 degrees.
At a team meeting, 6 people each shake hands with every other person exactly once. How many total handshakes occur?
Answer
15
A car rental company charges a fixed rental fee of $60 per day plus $0.40 per mile driven. If a person rented a car for 3 days and drove 250 miles, how much did the rental cost?
Answer
The total rental cost is $280.
A lawyer charges an hourly rate of $150 for their services. If they work for 12 hours on a case, plus a flat fee of $500 for administrative costs, how much will the client owe for the lawyer’s services?
Answer
$2300
A cylindrical water bottle is completely filled with water. The height of the bottle is 21 cm and its radius is 7 cm. If the person drinks ⅔ of the water, how much water remains in the bottle? (Use pi=22/7)
Answer
1078cm^3(or 1078 milliliters) of water remain in the bottle.
What is the number of ways to arrange 4 different cups on a shelf?
Answer
24
Solve the equation
2x^2−3x−5=0
Answer
x=10/4 , x=-1
In a class of 30 students, 40% are in the hockey club, 30% are in the math club, and 20% are in both. How many students are in at least one of the clubs?
Answer
15
In triangle ABC, angle A is a right angle. The lengths of sides AB= 6 cm and AC= 8 cm. A line parallel to side AC is drawn through the midpoint of side AB, forming a smaller triangle inside the original triangle. What is the length of the hypotenuse of the smaller triangle?
Answer
5cm
A pizza shop offers 3 types of crust, 5 types of sauce, and 4 types of toppings. How many different pizza combinations can be made if a pizza is made with one crust, one sauce, and any two different toppings?
Answer
90
Solve the system of equations:
x^2+y^2=25
x+y=7
Answer
x=4 or x=3.
At a charity bake sale, brownies cost $3 each, and cupcakes cost $5 each. If a total of 15 items were sold for $57, how many of each type of item were sold?
Answer
9 brownies were cold
6 cupcakes were sold
Given that the area of a sector of a circle is 50 cm², and the central angle Pi/3 radians, find the area of the circle. Use (pi = 3).
Answer
The area of the circle is 300cm^2