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SAT Math: Geometry and Trigonometry

Question 1
SAT (Digital)APConcept PracticeMedium
1 mark

In right triangle RSTRSTRST, the sum of the measures of angle RRR and angle SSS is 909090 degrees. The value of sin(R)sin(R)sin(R) is 154\frac{\sqrt{15}}{4}415​​. What is the value of cos(S)cos(S)cos(S)?

Question 2
SAT (Digital)APConcept PracticeEasy
1 mark

What is the area, in square inches, of a rectangle with a length of 777 inches and a width of 666 inches?

Question 3
SAT (Digital)APConcept PracticeEasy
1 mark

In the figure, line mmm is parallel to line nnn. What is the value of www?

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Question 4
SAT (Digital)APConcept PracticeHard
1 mark

A right square prism has a height of 141414 units. The volume of the prism is 2,0162,0162,016 cubic units. What is the length, in units, of an edge of the base?

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Question 5
SAT (Digital)APConcept PracticeHard
1 mark

In the figure, AC=CDAC = CDAC=CD. The measure of angle EBCEBCEBC is 45∘45^{\circ}45∘, and the measure of angle ACDACDACD is 104∘104^{\circ}104∘. What is the value of xxx?

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Question 6
SAT (Digital)APConcept PracticeEasy
1 mark

The scatterplot shows the relationship between the weight, in pounds, of each of 999 female gray wolves on April 303030 and the number of offspring each gray wolf produced.

How many offspring did the 505050-pound gray wolf produce?

Question 7
SAT (Digital)APConcept PracticeMedium
1 mark

Triangle FGHFGHFGH is similar to triangle JKLJKLJKL, where angle FFF corresponds to angle JJJ and angles GGG and KKK are right angles. If sin(F)=308317sin(F) = \frac{308}{317}sin(F)=317308​, what is the value of sin(J)sin(J)sin(J)?

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Question 8
SAT (Digital)APConcept PracticeEasy
1 mark

Right triangles PQRPQRPQR and STUSTUSTU are similar, where PPP corresponds to SSS. If the measure of angle QQQ is 18°18°18°, what is the measure of angle SSS?

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Question 9
SAT (Digital)APConcept PracticeHard
1 mark

In the figure shown, points QQQ, RRR, SSS, and TTT lie on line segment PVPVPV, and line segment RURURU intersects line segment SXSXSX at point WWW. The measure of ∠SQX\angle S Q X∠SQX is 48∘48^{\circ}48∘, the measure of ∠SXQ\angle S X Q∠SXQ is 86∘86^{\circ}86∘, the measure of ∠SWU\angle S W U∠SWU is 85∘85^{\circ}85∘, and the measure of ∠VTU\angle V T U∠VTU is ...

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Question 10
SAT (Digital)APConcept PracticeHard
1 mark

Square A has side lengths that are 166166166 times the side lengths of square B. The area of square A is kkk times the area of square B. What is the value of kkk?

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