New York City SHSAT 2017

Practice Set 1. In the figure above, segments AB, BC, CD, and AC are all equal. What is the value of x? (A) 30 (B) 45 (C) 60 (D) ...

(F) 39 (G) 45 (H) 52 (J) 55 (K) 62 If the perimeter of a square is 32 meters, then what is the area of the square, in square me ...

(F) 15 (G) 35 (H) 50 (J) 75 (K) 100 In triangle RST, if RS = RT, what is the degree measure of angle S? (A) 40 (B) 55 (C) 70 ( ...

8. In triangle XYZ, what is the measure of angle YXZ? (F) 18 (G) 36 (H) 54 (J) 72 (K) 90 9. If the perimeter of triangle ABC is ...

(F) 25 (G) 36 (H) 49 (J) 64 (K) 81 11. What is the value of a in the figure above? (A) 20 (B) 40 (C) 60 (D) 80 (E) 140 In the f ...

In the figure above, what is the value of x−y? (A) 30 (B) 45 (C) 75 (D) 105 (E) 150 ...

A square and a triangle are drawn together as shown above. The perimeter of the square is 64, and DC = EF. What is the area of t ...

(A) 90 (B) 110 (C) 125 (D) 180 (E) 250 What is the area of the square above? (F) 4 (G) 8 (H) (J) 16 (K) 24 ...

What is the area of the frame in the above diagram if the inside picture has a length of 8 and a width of 4? (A) 4 (B) 8 (C) 1 ...

(F) 2 (G) 4 (H) 8 (J) 16 (K) 64 In the above diagram, ABFG and CDEF are rectangles, C bisects BF, and EF has a length of 2. What ...

In the above diagram, what is the perimeter of ABCDEF? (A) 14 (B) 24 (C) 28 (D) 38 (E) 40 ...

If the shaded regions are 4 rectangles, what is the area of the unshaded region? (F) 9 (G) 12 (H) 16 (J) 19 (K) 20 In the figu ...

What is the radius of a circle whose circumference is 36π? (A) 3 (B) 6 (C) 8 (D) 18 (E) 36 If the perimeter of the square is ...

In the figure above, what is the value of x? (A) 15 (B) 30 (C) 55 (D) 70 (E) 135 ...

In the figure above, a square is graphed on the coordinate plane. If the coordinates of one corner are (−2, 0), what is the area ...

(F) 2 (G) 7 (H) 10 (J) 12 (K) 14 Circle O above has its center at the origin. If point P lies on circle O, what is the area of ...

In the figure above, right triangle ABC is inscribed in circle P, with AC passing through center P. If AB = 6, and BC = 8, what ...

(F) −3 (G) (H) (J) (K) 3 If the circumference of a circle is 16π, what is its area? (A) 8 π (B) 16 π (C) 32 π (D) 64 π (E) 256 ...

A square and a circle are drawn as shown above. The area of the square is 64. What is the area of the shaded region? (A) 4 π ( ...

ABCD is a square. If E is the midpoint of AD, what is the area of the shaded region? (A) 8 (B) 12 (C) 16 (D) 24 (E) 32 Circle ...