Arithmetic and Counting
In KSI’s hit song Thick of It, he sings, “From the screen, to the ring, to the pen, to the king.” How many changes does KSI describe undergoing
Answer
3
A basket contains a total of 40 fruits. If there are x apples and y oranges, write an equation that represents this situation.
The equation is:
x+y=40
Three people walked into a party, then five more entered, and two left. After three more entered and one left, how many people are currently at the party?
Answer: 9
The ages of 7 people in a group are follows:22,28,25,22,30,28 and 24.What is the difference between the oldest and youngest person?
Answer
8
At a reunion, 4 family members each give a hug to every other family member exactly once. How many total hugs occur?
Answer
6
(x+3)/4 = ⅚
Answer
x=1/3
Peter is three times as old as his brother James. Five years ago, the difference in their ages was 14 years. What are their current ages?
Answer: Peter is 21, and James is 7
A hexagon has five angles measuring 100,110,120,130, and 140 degrees. What is the measure of the sixth angle?
Answer
The sixth angle is 120
A monkey is at the bottom of a 20-meter pole. Each day, it climbs up 6 meters, but each night, it slips down 4 meters. How many days will it take the monkey to reach the top of the pole?
Answer
8
The sum of three consecutive even integers is 72. What are the integers?
Answer
The integers are 22, 24, and 26.
In a sequence where the first term is 3, the second term is 8, and each term is obtained by multiplying the previous term by 2 and then subtracting 1, what is the fourth term?
Answer: 61
A square garden has a side length of 10 meters. If the length is increased to 15 meters while keeping the width the same at 10 meters, what is the change in the area of the garden.
Answer
50 meters^2
What is the sum of the first 12 positive integers?
Answer
78
A car rental company charges a fixed rental fee of $60 per day plus $0.30 per mile driven. If a person rented a car for 5 days and drove 150 miles, how much did the rental cost?
Answer
The rental cost is $345.
In a classroom, 100 students took two exams, Math and Science. 45% of the students passed both exams, while 65% passed Math and 70% passed Science. How many students passed at least one of the two exams?
Answer:90
A rectangle has a perimeter of 40 cm and its length is 12cm.What is the area of the rectangle?
Answer
The area of the rectangle is 96 cm^2.
What is the number of ways to arrange 3 different books on a shelf?
Answer
6
The length of a rectangle is 4 meters more than its width. The perimeter of the rectangle is 36 meters. What are the length and width of the rectangle?
The length is 11 meters, and the width is 7 meters
At a school event, child tickets cost $3, and adult tickets cost $6. If 15 tickets were sold for a total of $60, how many child tickets and adult tickets were sold?
Answer: 10 child tickets and 5 adult tickets
A right triangle has legs measuring 6cm and 8cm. What is the length of the hypotenuse?
Answer
10