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 Test 38 Grid Ins Questions with Answer Keys.**

### SAT 2022 Math Test 38 Grid Ins Questions with Answer Keys

**SAT Math Practice Online Test Question No 1:**

Consider the preceding diagram. If **AB** || **CD**, the measure of angle 7 is 130. What is the measure of angle 4?

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**Correct Answer: 80 **

For problems like this one, marking up your test booklet is always a great idea. Remember that the drawing isn’t to scale. Draw in the values for angles 1 and 7.

You can immediately see that angle 6 must have a measure of 180° – 130° = 50°. Then, because you know that **AB** is parallel to **CD**. **BD **is a transversal, meaning that angle 2 is equal to angle 6 because they’re alternate interior angles.

Now you know the measures of two of the angles in the triangle ABE, so you know that angle AEB = 180° – 50° – 50° = 80°. Angle 4 and angle 3 are vertical angles and, therefore, equal, so the measure of angle 4 is 80 degrees.

**SAT Math Practice Online Test Question No 2:**

Determine the length of segment **BE**.

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**Correct Answer: 13 **

It would be great if you happened to know the three-dimensional version of the distance formula: d = √x^{2} + √y^{2} + √z^{2}, but just in case you don’t, you can solve this another way.

If you can find the distance from point B to point H using the two-dimensional distance formula d = √x^{2} + √y^{2 }which is based on the Pythagorean Theorem, then you can use right triangle BHE to find the length of **BE**. Check out the following diagram for clarification.

The length of **BH **= √3^{2} + √12^{2} = √9 + √144 = √153.

Using the distance formula again, the length of **BE **is √(√153)^{2} + √4^{2} = √153 + √16 = √169 = 13.

**SAT Math Practice Online Test Question No 3:**

If 4/9 of c^{2} is 24, what is 5/9 of c^{2}?

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**Correct Answer: 30 **

4/9 of c^{2} is 24

Translate: (4/9)c^{2} = 24

Multiply by 24: (5/4)(4/9)c^{2} = (5/4)(24)

Simplify: (5/9)c^{2} = 30

**SAT Math Practice Online Test Question No 4:**

If m = 3, what is the value of {(1/[m + 1]) + (1/[m – 1])} / {1/(m^{2} – 1)}?

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**Correct Answer: 6 **

Simply substituting m = 3 in the equation gives [(1/4) + (1/2)]/(1/8).

The quickest way to simplify this expression is to multiply both the numerator and the denominator by the common denominator, 8. This gives (2 + 4)/ 1 = 6.

If you happen to be an algebra jock, you might notice that you can simplify the original expression by multiplying the numerator and denominator by the common denominator m^{2} – 1, which is equivalent to (m – 1)(m + 1). This simplifies the complex expression to just 2m, which equals 6 when m = 3.

**SAT Math Practice Online Test Question No 5:**

In one basketball game, Tamara made 50% of her shots, and in the next game, she made 60% of her shots. In the two games, she made 52% of her shots altogether. If she took a shots in the first game and b shots in the second game, what is the value of a/b?

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**Correct Answer: 4 **

If she took a shots in her first game and made 50% of them, then she made .5a shots in the first game.

Similarly, she made .6b shots in the second game. If she made 52% of her shots altogether, then

(.5a + .6b)/(a + b) = .52

Cross multiply: .5a + .6b = .52a + .52b

Subtract .5a and .52b: .08b = .02a

Divide by 0.02b: 4 = a/b

**SAT Math Practice Online Test Question No 6:**

For every integer m greater than 1, let ?m? be defined as the sum of the integers from 1 to m, inclusive. For instance, <<4>> = 1 + 2 + 3 + 4 = 10. What is the value of <<7>> – <<5>>?

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**Correct Answer: 13**

<<7>> = 7 + 6 + 5 + 4 + 3 + 2 + 1

<<5>> = 5 + 4 + 3 + 2 + 1

So <<7>> – <<5>> = 7 + 6 = 13

**SAT Math Practice Online Test Question No 7:**

If 96,878 x x^{2} = 10,200, then 10,200/(5x^{2} x 96,878) =

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**Correct Answer: 0.2 **

This is a simple substitution. You can substitute 10,200 for 96,878 × x^{2} because they are equal.

So 10,200/(5 x 96,878 x x^{2}) = 10,200/(5 x 10,200) = 1/5. Notice that the 10,200s “cancel.”

**SAT Math Practice Online Test Question No 8:**

If 4 + √b = 7.2, what is the value of 4 – √b?

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**Correct Answer: 0.8 **

If 4 + √b = 7.2, then √b = 3.2.

So 4 – √b = 4 – 3.2 = 0.8.

**SAT Math Practice Online Test Question No 9:**

The perimeter of the isosceles triangle above is 24. If the ratio of a to b is 2 to 3, what is the value of b?

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**Correct Answer: 9 **

Since a = (2/3)b, the perimeter of the triangle is b + b + (2/3)b = (8/3)b. The perimeter is 24,

so Multiply by 3/8: (8/3)b = 24 b = 9

**SAT Math Practice Online Test Question No 10:**

If 10 less than 2x is 22, then what is the value of x?

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**Correct Answer: 16 **

Set up an equation: 2x – 10 = 22

Add 10: 2x = 32

Divide by 2 : x = 16