FREE BMST Mathematics Questions and Answers
A triangle with all three angles less than 90 degrees:
Explanation:
An acute triangle is a triangle in which all three angles are less than 90 degrees. This means that none of the angles in the triangle are obtuse (greater than 90 degrees) or right angles (exactly 90 degrees). An equilateral triangle has all three angles equal to 60 degrees, which is less than 90 degrees, making it an acute triangle. An obtuse triangle has one angle greater than 90 degrees, so it is not an acute triangle. An isosceles triangle has two equal angles, but it can still have one angle greater than 90 degrees, making it not an acute triangle.
Solve for y in the equation: y – 13 = –3
Explanation:
Here's how to solve for y in the equation y – 13 = –3:
Add 13 to both sides of the equation to isolate y on one side:
y – 13 + 13 = –3 + 13
Simplify both sides:
y = 10
Therefore, the solution to the equation y – 13 = –3 is y = 10
Y = 7x + 3 Where does this line cross the y-axis?
Explanation:
In the equation y = 7x + 3, to find where the line crosses the y-axis, you need to determine the y-coordinate when x is equal to 0. This is because the y-axis is where x = 0.
So, substitute x = 0 into the equation:
y = 7(0) + 3
y = 0 + 3
y = 3
The line crosses the y-axis at the point (0, 3).
A triangle with one angle greater than 90 degrees:
Explanation:
An obtuse triangle is a triangle that has one angle greater than 90 degrees. It is different from an acute triangle, which has all angles less than 90 degrees, and an equilateral triangle, which has all angles equal to 60 degrees. An isosceles triangle is a triangle that has two sides of equal length, but it does not necessarily have an angle greater than 90 degrees. Therefore, the correct answer is an obtuse triangle.
What does the formula V = s^3 represent in geometry?
Explanation:
This formula calculates the volume of a cube, where V represents the volume and s is the length of one side of the cube. It's derived from the principle that the volume of a cube is equal to the side length cubed.
What is the formula to calculate the area of a triangle?
Explanation:
This formula represents the area of a triangle, where A is the area, b is the base length, and h is the height perpendicular to that base. It's derived from the concept that the area of a triangle is half the product of its base and height.
What does the formula A = lw represent in geometry?
Explanation:
This formula calculates the area of a rectangle, where A represents the area, l is the length, and w is the width. It's derived from the principle that the area of a rectangle is equal to the product of its length and width.
If p × q = p + q + p/q, the value of 8 × 2 is:
Explanation:
To solve for 8 × 2 in the equation p × q = p + q + p/q, we need to plug in the values p = 8 and q = 2:8 × 2 = 8 + 2 + 8/2
Now, let's solve the equation step-by-step:
Division first: 8/2 = 4Addition: 8 + 2 + 4 = 14
Therefore, the value of 8 × 2 in the given equation is 14.
Remember, in the order of operations (PEMDAS), division and multiplication have the same priority and are done from left to right before addition and subtraction.
A rectangle has a length of 6 inches and a width of 4 inches. What is the area in inches squared?
Explanation:
The area of a rectangle is L × W, where L is the length and W is the width. Thus, 6 x 4 = 24.
How many squares with a side of 2 cm cover the surface of a rectangle with a length of 24 cm and a width of 8 cm?
Explanation:
The area of the square is 2 × 2 = 4 cm2
The area of the rectangle is L × W = 24 × 8 = 192 cm2
The number of squares is 192 ÷ 4 = 48
If a * b = 2 (a + b), then 5 * 2 is equal to:
Explanation:
In the equation a * b = 2 (a + b), where * represents a custom operation, the answer for 5 * 2 is not directly obtainable using conventional math operations like addition, subtraction, multiplication, or division.
To solve for 5 * 2, we need to understand the logic behind the custom operation. Since the operation involves doubling the sum of a and b, it essentially multiplies both a and b by 2 and then adds them together.
So, for 5 * 2:
Double both 5 and 2: 2 * 5 = 10, 2 * 2 = 4
Add the doubled values: 10 + 4 = 14