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# SAT Math Practice Test 41 Online Grid Ins Questions | SAT Online Course AMBiPi

Welcome to AMBiPi (Amans Maths Blogs). SAT (Scholastic Assessment Test) is a standard test, used for taking admission to undergraduate programs of universities or colleges in the United States. In this article, you will get SAT 2022 Math Practice Test 41 Online Grid Ins Questions with Answer Keys | SAT Online Course AMBiPi.

### SAT 2022 Math Practice Test 41 Online Grid Ins Questions with Answer Keys

SAT Math Practice Online Test Question No 1:

A runner runs a 16-mile race at an average speed of 8 miles per hour. By how many minutes can she improve her time in this race if she trains and increases her average speed by 25%?

First, calculate how long the race took.

distance = rate x time

16 = (8)(time)

Divide by 8:2 hours = time = 120 minutes

Next, find the new rate that is 25% faster: new rate = (8)(1.25) = 10 mph

Calculate how long the new race would take: distance = rate x time

16 = (10)(time)

Divide by 10: 1.6 hours = time = 96 minutes

So she can improve her time by (120 – 96) = 24 minutes

SAT Math Practice Online Test Question No 2:

Every sophomore at Hillside High School is required to study at least one language among Spanish, French, and Latin, but no one may study more than two. If 120 sophomores study Spanish, 80 study French, 75 study Latin, and 50 study two of the three languages, how many sophomores are there at Hillside High School?

Set up a three-circle Venn diagram to visualize this information. Fifty students study two of the three languages, so let’s say that 50 students study both Spanish and Latin. (It doesn’t matter which two languages those 50 students take; the result turns out the same.) This means that zero students study both Spanish and French, zero students study both French and Latin, and zero students study all three languages.

There are 120 Spanish students in all. There are therefore 120 – 50 = 70 students who study Spanish alone. There are 80 French students in all, all of whom study just French, and there are 75 total Latin students including 75 – 50 = 25 students who study only Latin.

This means that there are 70 + 50 + 80 + 25 = 225 sophomores at Hillside High School.

SAT Math Practice Online Test Question No 3:

The Civics Club earned 25% more at its bake sale in 2007 than it did in 2006. If it earned \$600 at its bake sale in 2006, how much did it earn at its bake sale in 2007?

25% of \$600 is \$150.

Therefore, the club earned \$150 more in 2007 than it did in 2006, or \$600 + \$150 = \$750.

Remember, also, that increasing any quantity by 25% is the same as multiplying that quantity by 1.25.

SAT Math Practice Online Test Question No 4:

If 643 = 4x, what is the value of x?

643 = 4x

Substitute 43 for 64: (43)3 = 4x

Simplify: 49 = 4x

Equate the exponents: x = 9

SAT Math Practice Online Test Question No 5: According to the data in the table above, by what percent did the number of applicants to Collins College increase from 1990 to 1995? (Disregard the % symbol when entering your answer into the grid. For instance, grid 50% as 50.)

Use the percent change formula:

[Final – Original]/Original x (100%)

[24,000 – 20,000]/20,000 x (100%) = 20%

SAT Math Practice Online Test Question No 6:

If [x + 2x + 3x]/2 = 6, what is the value of x?

Just simplify and solve for x:

[x + 2x + 3x]/2 = 6

6x/2 = 6

6x = 12

x = 2

Remember that the first grid-in question returns the difficulty meter to easy!

SAT Math Practice Online Test Question No 7:

If x2 = 16 and y2 = 4, what is the greatest possible value of (x – y)2 ?

If x2 = 16 then x = ± 4. If y2 = 4 then y = ± 2.

To maximize (x – y)2, you need to maximize the difference.

The greatest difference is (–4) – 2 = –6 or 4 – (–2) = 6, and both 62 and (–6)2 equal 36.

SAT Math Practice Online Test Question No 8: On the number line above, j, k, l, m, and n are coordinates of the indicated points. What is the value of jk/lmn?

In the diagram, you can assume that the shorter ticks are evenly spaced, so each one must be 0.25 units long. Plugging the coordinates of the points into the given expression gives you As you can see, canceling works well: The two negatives cancel each other out, and two of the numbers in the numerator are double the size of two of the numbers in the denominator. This leaves you with jk/lmn = (2)(2)/(0.5) = 8

You can also just plug the whole thing into your calculator, but make sure you use enough parentheses: You need to enclose the entire numerator in parentheses, and then the entire denominator in parentheses.

SAT Math Practice Online Test Question No 9: In the figure above, AB is the arc of the circle with center O. Point A lies on the graph of y = x2 – b, where b is a constant. If the area of shaded region AOB is π, then what is the value of b?

This question looks tough, so work it one step at a time, and start with what you know.

Sector AOB is a quarter-circle (it covers an angle of 90 out of 360 degrees), so multiplying its area (π) by 4 gives you the area of the whole circle (4π).

Plugging this into the equation for the area of a circle, A = πr2, gives you 4π = πr2, and the radius must be a positive value, so r = 2. This means that the coordinates of point A must be (?2, 0).

Because A is on both the circle and the parabola, you can plug its x- and y-coordinates into the given equation of the parabola, y = x2 – b. This becomes 0 = (–2)2 – b, so b = 4.

SAT Math Practice Online Test Question No 10:

A certain clothing store sells only T-shirts, sweatshirts, and turtlenecks. On Wednesday, the store sells T-shirts, sweatshirts, and turtlenecks in a ratio of 2 to 3 to 5. If the store sells 30 sweatshirts on that day, what is the total number of garments that the store sells on Wednesday? 