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 = √x2 + √y2 + √z2, 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 = √x2 + √y2 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 = √32 + √122 = √9 + √144 = √153.
Using the distance formula again, the length of BE is √(√153)2 + √42 = √153 + √16 = √169 = 13.
SAT Math Practice Online Test Question No 3:
If 4/9 of c2 is 24, what is 5/9 of c2?
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Correct Answer: 30
4/9 of c2 is 24
Translate: (4/9)c2 = 24
Multiply by 24: (5/4)(4/9)c2 = (5/4)(24)
Simplify: (5/9)c2 = 30
SAT Math Practice Online Test Question No 4:
If m = 3, what is the value of {(1/[m + 1]) + (1/[m – 1])} / {1/(m2 – 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 m2 – 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 x2 = 10,200, then 10,200/(5x2 x 96,878) =
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Correct Answer: 0.2
This is a simple substitution. You can substitute 10,200 for 96,878 × x2 because they are equal.
So 10,200/(5 x 96,878 x x2) = 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
