Geometry
A right-angled triangle has legs of lengths 6 cm and 8 cm. What is the area of the triangle?
24cm2
3x+7=19 . Solve for x.
x=4
(23)(22)=?
32
Find the mean of the following numbers: 5, 8,12, 7,10
8.4
What is 40 divided by ½, plus 15?
95
A circle with a radius of 5cm is inscribed inside a square. What is the area of the square?
100 cm2
(x+2)(x+3). Simplify this expression.
x2+5x+6
(54/52)=?
25
For the data set: 3, 7, 9,12,12,15,18, find the median and mode
12
A 3x3 cube is made up of 1x1 cubes. How many 1x1 cubes are required in order for there to be no gaps?
27
A right-angled triangle has legs of lengths 6 cm and 8 cm. What is the length of the hypotenuse?
10cm
2x+3y=14, x−y=1. Solve for x and y.
x=2.4
y=3.4
(3-2)(9)=?
1
The following are the test scores of 9 students: 65, 70, 72, 74, 78 ,80 ,83, 85, 90, find the interquartile range (IQR).
13
In a football tournament, there are 10 teams. Each team plays each other team once. How many games are played in total?
45
A semicircle with a radius of 4 cm is attached to the side of a square, forming a composite shape. The side length of the square is also 4 cm. What is the total perimeter of the composite shape? Do not simplify π.
12 + 4π cm
(16x4/4x2)1/2. Simplify this expression.
2x
4x=64. Solve for x
x=3
A bag contains 5 red balls, 3 blue balls, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are blue?
1/15, 0.066666, 6.6666%
On an analog clock, how many times do the hour hand and minute hand overlap in a day?
22
In a circle with a radius of 13 cm, a right triangle is inscribed such that its hypotenuse is the diameter of the circle. One of the triangle's legs is 12 cm. What is the area of the triangle?
138.39cm2
(3/x)+ (5/x+2) = 4. Solve for x
x ≈±1.225 or 9/40
(16/81)3/4=?
8/27
The following is a data set representing the number of books read at school per student. 4, 5, 7, 7, 10, find the standard deviation of the data set (round to two decimal places).
2.3
You invested $100 into a stock. In 3 years, it increased by 5 percent a year. How much money do you end up with?
$115.76