SAT Important Questions

 1. In a right triangle, the side lengths are 3√3, 2√3 ,and √70 units. What is the area of the triangle in square units?

Ans = 9

Explanation: 

The area of a triangle is given as: 

Area =1/2 × base × height 

Here, the longest side is √70 so it is the hypotenuse.

The remaining two sides will be the base and perpendicular (height).

So, area will be:

Area = 1/2 × 3√3×2√3 

Area = 9 square units

Thus, the area is 9.

2.  What is the equation that defines line p in the xy-plane, given that it passes through the point (-4, 6) and has a slope of 6?

Options:

1.  y = 6x + 30
2.  y = 6x – 30
3.  y = 6 + 30x
4.  y = 6x – 30x

Ans : y = 6x + 30.

Explanation: 

The equation of line when it passes through a point and given slope is:

y – y1 = Slope(x – x1)

So, inserting the values in the above expression as:

y – 6 = 6(x – (-4))

y – 6 = 6x + 24

y = 6x + 30

So, the equation will be y = 6x + 30.

 3.   In a circle with center O, the arc XY measures 105°. What is the degree measure of the angle XOY that corresponds to this arc?

Ans : 210

Explanation: The angle on circle by an arc XY is given as 105°.

We can use the property of the circle which states that the angle at the center will be twice the angle on the circle by the same arc.

So, the angle XOY will be twice of the angle on the circle.

So, angle XOY will be:

angle XOY = 2 × 105°

angle XOY = 210°

Thus, the angle is 210 degrees.

4.  1In a specific rectangular area, the length-to-width ratio is 45 : 15. If the width of the region grows by 8 units, how should the length be adjusted to uphold this ratio?

Options:

1. It must decrease by 24.5 units.
2. It must increase by 24.5 units.
3. It must decrease by 24 units.
4. It must increase by 24 units.

Ans : It must increase by 24 units.

Explanation: 

5)

 The table displays three sets of values for x and their corresponding f(x) values for a linear function f. What equation accurately represents the definition of f(x)?

Options:

1. f(x) = 6x + 65
2. f(x) = 8x + 65
3. f(x) = 65x + 73
4. f(x) = 73x + 81

Ans:  b. f(x) = 8x + 65

Explanation:

The constant value of the function is 65.

And, after every increase in the value of x the value of the function is increased by 8.

So, the equation for the f(x) will be:

f(x) = 8x + 65

Thus, the function is f(x) = 8x + 65.

 6.     For a cost of $57, how many pounds of avocados were bought at a rate of $19 per pound?

Ans :  3 pounds of avocados 

Explanation:

 7.         7 added to 4 times a quantity y is equal to 62. Which equation represents this condition?

Options :

1. 7(4y) = 62
2.  7 – 4y = 62
3.  7 + 4y = 62
4.  4y – 7 = 62

Ans : 7 + 4y = 62.

Explanation:

The statement is “Seven added to four times a quantity y is equal to 62.”

The equation starts with 7, which represents the initial value. Then, 4y signifies four times the quantity y. When we add these two parts together, we get the total, which is equal to 62.

So, the equation will be 7 + 4y = 62.

8.         What percentage does 90 represent in relation to 360?

Options:

a. 25%

 b. 50%

 c. 75%

 d. 225%

Ans:  25%

Explanation:

9)             2.5b + 5r = 80

The provided equation expresses the connection between the quantity of biscuits (b) and raisins (r) that a reviewer business can handle in a single day. If the business is tending to 16 raisins on a specific day, what is the capacity for biscuits that it can manage on the same day?

Ans :   0

Explanation:

The given equation is:

2.5b + 5r = 80

So, putting r = 16 in the above equation.

2.5b + 5 * 16 = 80

2.5b = 80 – 80 = 0

So, b = 0

So, the capacity of biscuits will be 0.

🔖🔖Bookmark our website web.bjubangla.in