Geometry
What is the sum of the interior angles in a triangle?
180 degrees
Solve for x: 3x=12.
x=4
Simplify 23.
8
What is the mode of the data set: 3, 7, 7, 2, 5?
7
If a farmer has 18 apples and he wants to divide them equally among 6 baskets, how many apples will each basket contain?
3 apples
Calculate the area of a rectangle with a length of 8cm and a width of 5cm.
40 square cm
Simply 2x + 3x - 5
5x -5
Simplify (32)2.
81
What is the mean of the data set: 4, 5, 6, 7, 8?
6
A car travels 120 kilometers per hour. How long will it take for the car to travel 5 kilometers?
2.5 minutes
A triangle has sides 3,4,5. What kind of triangle is it?
Solve for y. 2y + 5 = 15
y = 5
Write 1/16 as a power of 2.
2-4
The heights of five students are 150 cm, 160 cm, 170 cm, 165 cm, and 155 cm. What is the range of the data set?
20 cm
A deck has 52 cards, what is the probability that you pull two aces consecutively?
1/221
Find the circumference of a circle with radius 7.
14π
Expand and Simplify. (x+2)(x-3)
x2-x-6
Simplify 23*24.
128.
A bar chart shows that 10 students scored 8/10 on a test, 12 scored 9/10, and 8 scored 10/10. What percent of students scored 9/10?
4/10, 0.4, 40%
A shop buys a car at the price of $26,000. If the shop wants to make 32% profit, what is the new price?
$34,320
A square and a circle have the same perimeter. The square’s side length is 4 cm. What is the radius of the circle? (round to the nearest tenth)
Solve for x. 2x2 - 3x - 2 = 0.
x = 2 or x = -1/2
Solve for x. 3x = 2187
x = 7
If the median of a data set is 15, and a new number 20 is added, explain how the median changes if the set has an odd number of values.
The median will become the average of the two middle values since the set now has an even number of data points.
What is the smallest positive integer that is divisible by all the numbers from 1 to 10? answer
2520
Explanation:
The prime numbers between 1 and 10 are 2, 3, 5, and 7.
The highest powers of these primes within the range (1-10) are:
2^3=8
3^2=9
5^1=5
7^1=7
LCM=2^3×3^2×5×7=8×9×5×7=2520