Questions and Answers of Acing The New SAT Math

In the figure, what is the values of y?A) 52B) 60C) 68D) 76 (5x−12)° (3y-8)°
On the segment PS,PR = 12, QS = 16, and QR =1/3PS. What is the length of PS?A) 19B) 20C) 21D) 22 P Q R S
In the figure, ℓ ∥ m. What is the value of y?A) 120B) 125C) 130D) 135 (2x +15)° ܘܐ܂ X ܘܐ܂ ܐܐܐ
In the figure, ℓ ∥ m. What is the value of x?A) 45B) 50C) 55D) 60 . 50° 71 75° +
In the figure, r ∥ t. What is the value of x + y?A) 37B) 40C) 43D) 46 (5y-9)° (5x+4)° 3x
In the figure, A̅B̅ ∥ C̅D̅ and B̅C̅ ∥ D̅E̅. What is the value of x?A) 47B) 51C) 55D) 57 A B 68° C D 65° E
The graph depicts a survey of 400 senior students in a high school who took the AP tests last May. The number of AP tests taken by each student ranges from zero to six.By what percent is the number
The incomplete table above summarizes the number of faculty members in engineering and humanities departments at a certain college. The ratio of female faculty members in engineering to male faculty
The equation of a circle in the -xyplane is shown. What is the area of the circle? 19 x²-x+ y² + 2y = 0 4 -
If A0 is the initial amount deposited in a savings that earns at a fixed rate of r percent per year, and if a constant amount of c is added to the account each year, then the amount An of the
Which of the following is NOT a factor of the polynomial p(x) = 2x3 - 5x2 - 4x + 3? A) 2x-1 B) x+1 C) x-3 D) x-1
A certain company produces d diskettes every m minutes. Which of the following is the number of diskettes produced in h hours, in terms of d, m, and h? A) B) C) D) 60dh m 60dm h 60mh d dh 60m
The equation represents a parabola in the xy-plane. Which of the following equivalent forms of the equation displays the x-intercepts of the parabola as constants or coefficients? y = 2x² -11x-6
In the polynomial g(x) defined above, c is a constant. If g(x) is divisible by x + 1, what is the value of c?A) 1B) 2C) 3D) 4 g(x) = (x² - 6x + 5)- 4(x-c)
In the xy-plane, if (0,1) is the solution to the system of inequalities, which of the following relationships between a and b must be true? x+y b
If p, q, r, and s are four different positive numbers such thatwhat is q in terms of s? p= 1' S-1 and q 1" S
In the figure, linep is parallel to line q. Which of the following must be true? 1 2 6 4 8 9 3 - P
At a coffee shop, a customer bought 10 bags of Arabian Mocha and Kona coffee. A bag of Arabian Mocha costs $18 and a bag of Kona coffee costs $28. If x is the number of bags of Arabian Mocha and the
If p is 20 percent less than r, r is 20 percent less than s, and s is 20 percent less than t, which of the following is equal to p?A) 0.4tB) 0.4096tC) 0.512tD) 0.64t
A rectangular picture, represented by the unshaded region in the figure, is mounted in a rectangular frame, represented by the shaded region. The frame is 1 inch wide on all sides. For what value of
The population of a certain town doubles every 24 years. If the population of the town was 140,000 at the beginning of 2016, which of the following equations represents the population, P, t years
A parabola with the equation f(x)= a(x + 1)(x - 3) has a minimum value at x = 1 in the xy-plane. If f(p) = f(-3), which of the following could be the value of p?A) 4B) 5C) 6D) 7
Which of the following systems of equations has no solution? 1 1 A) = x+y=1 5 3 3x - 5y = 15 B) 4x+3y=12 3x - 4y = 6 C) -3x+2y=7 1 1 x - y = 3 2 3 D) -x +2y = 1 2x - 4y = -2
The average (arithmetic mean) test score for all the students in a class is 79.6. If the average score of 16 boys in the class was 81, while that of n girls was 78, what is the value of n?A) 14B)
The mean price of a gallon of gas in a certain state is $2.95 with a standard deviation of 12 cents. Which of the following prices is not within 2 standard deviations of the mean price?A) $2.69B)
The function fis defined by a polynomial. Some values of x and f(x) are shown in the table. What is the remainder when f(x) is divided by x + 2? X -4 -2 1 2 f(x) -10.5 2.5 -8 7.5
For what value of k will the system of equations have infinitely many solutions? 6x + ky = 3 y = 1-2x
A cylindrical shape container 40 cm high inside with an internal diameter of 20 centimeters (cm) is 80 percent filled with fruit punch. If Kara pours 12 fluid ounces of fruit punch to each plastic
The profits of an electronic company during the six years of its operation are given in the table above. Which of the following best approximates the average rate of change of the profits from 2010
Ifwhat is the value of A? -2x² +5x+10 -x+4 2x+3- A -x+4
A line in the xy-plane passes through the origin and has a slope of −3/4. Which of the following points does NOT lie on the line? ساد A) (2.-3) B) (-4.3) C) (8.-3) D) (0,0)
In the figure, ABCD and ADFG are squares each with an area of 3 and DEF is an equilateral triangle. Line segments A̅D̅, C̅F̅, and E̅H̅ intersect at point D. Which of the following represents
Mike and Maria race on a 1500-meter course with their bikes. The expressions in the table show the distance to the finish line t seconds after they started the race. How many meters will Maria have
The manufacturer of a cable company sells cable for $30 per foot. The cost, C, of producing x feet of cable is C = 12.5x + 210. The company makes a profit when the amount of money received from
Alice and Bernie both own orchards that grow only apple trees and peach trees. Alice has twice as many apple trees as Bernie has. Bernie has 1.5 times as many peach trees as Alice has. Alice’s
Three is subtracted from two thirds of the number kand the difference is doubled. If the result is ten more than one third of the number, what is the value of k?
The tables above show the percentage of revenue of the commercial banks in country X. Total revenue of the commercial banks in 1995 was 10 billion dollars and total revenue of the commercial banks in
The tables above show the percentage of revenue of the commercial banks in country X. Total revenue of the commercial banks in 1995 was 10 billion dollars and total revenue of the commercial banks in
One number is 4 times the value of another number. If their sum is −15, what is the value of the smaller of the two numbers?A) −12B) −9C) −6D) −3
In the figure, ray OB bisects ∠COA. Ifwhat is the measure of ∠DOC?A) 92B) 96C) 102D) 108 m/DOB = 11x+6 and m/COA = 8x-12,
In the figure, Q is the midpoint of PR. If PQ = x + 3 and QR = 2x - 1, what is the length of segment PR?A) 4B) 7C) 11D) 14 P x+3 Q 2x-1 R
In the figure, what is the value of x?A) 140B) 160C) 190D) 230 40° (x-90)°
In the figure, m ∥ n. If a = 50 and b = 120, what is the value of c?A) 50B) 60C) 70D) 80 9° bᵒ n m
A thermos holds 2 quarts of liquid. If 1/2 tablespoon of ground coffee makes 4 cups of coffee, how many thermoses can be filled with the coffee made from 3 tablespoons of ground coffee?(1 quart = 4
The line of a graph in the xy-plane contains the point (-2, 4) and is parallel to a line with the equation x + 2y = 10. The graph of a second line passes through the points (6,2) and (-2, -2). If the
In the figure, lines ℓ, m, and n are parallel. What is the value of x + y?A) 160B) 200C) 230D) 290 70° tº ·l m n
The manufacturer of a cable company sells cable for $30 per foot. The cost, C, of producing x feet of cable is C = 12.5x + 210. The company makes a profit when the amount of money received from
In the figure, which of the following are opposite rays?A) Ray AB and Ray CDB) Ray CA and Ray CDC) Ray DA and Ray ADD) Ray CA and Ray BD A B C D
A large container can be filled with four times as much water as a medium-sized container, or nine times as much as a small-sized container. If x small containers and x large containers are needed to
The average gas mileage of Roy’s car is 36 miles per gallon of gas for highway driving and 24 miles per gallon of gas for city driving. If Roy used 10 gallons of gas for driving 340 miles on both
In the figure, if PS = 162, what is the length of segment QR? P W 3x V R 2.5x U 3.5x S T
In the figure, D̅A̅ ∥ B̅C̅ and A̅B̅ bisects ∠DAC. What is the measure of ∠BCA in terms of a? D E 9° A B с
In the figure, lines ℓ and m are parallel and B̅D̅ bisects ∠ABC. What is the value of x?A) 54B) 60C) 68D) 72 A 108⁰ B r tº D с l m
In the figure, ℓ ∥ m. What is the value of x?A) 30B) 35C) 40D) 45 55° to . m
In the figure, what is the value of x + y?
In the figure, r ∥ t. What is the value of a + b?A) 160B) 175C) 185D) 200 1" 35° bᵒ
In the triangle, what is the value of x?A) 44B) 48C) 52D) 56 48° fo (3x - 40)°
In the figure, P̅Q̅ is parallel to S̅T̅. What is the measure of ∠QRS? R Q 110° S 145° -P T
In the figure, CDE is an equilateral triangle and ABCD is a square with an area of 4x2. What is the area of triangle CDE in terms of x? B A E C D
In ΔABC, BD = √3. What is the perimeter of ΔABC? A 30° 3 в D 60° C
In the figure, if AB = 6, DE = 3, and BD = 12, what is the length of AE? A 6 B to D 3. E
In the figure, ∠B = ∠D. If BC ≅ 16, CD=10, and CE = 11, what is the length of AE? B 16 C 10 11 D Note: Figure not drawn to scale. E
In the figure, the area of right triangle ABC is 60. What is the perimeter of ΔABC?A) 34B) 36C) 38D) 40 A 15 B
In ΔABC, if AB = AD = DC, what is the value of x?A) 92B) 96C) 102D) 108 B A t D 18° C
In triangle ABC, if BD was increased by 50 percent and AC was reduced by 50 percent, how would the area of ΔABC change?A) The area of ΔABC would be decreased by 25 percent.B) The area of ΔABC
In the figure, AB= 6, BC = 8, and CD = 5. What is the length of AD? A B D Note: Figure not drawn to scale. C
In the figure, P̅Q̅ ⊥ Q̅R̅ and P̅Q̅ ≅ P̅T̅. What is the measure of ∠R?A) 30B) 35C) 40D) 45 P + 50° 35% S T R
In the figure, what is the area of ΔABC? A 30° 12 B D 12 30° C
In the figure, D̅E̅ ∥ A̅C̅What is the value of x?A) 12.5B) 15C) 16.5D) 18 A 8 D X 12 в 7.8 E y C
In ΔABC, m∠A = m∠C. If x > 0, what is the value of x? A x² B 2x+15
In the figure. V̅Q̅ ∥ W̅R̅ ∥ T̅S̅ If PS = 15, what is the length of R̅S̅?A) 4.5B) 5C) 6D) 6.5 T X W x+1 x-1 V R P Q S Note: Figure not drawn to scale. U
In the figure, ∠A = ∠C and B̅D̅ bisects A̅C̅. What is the perimeter of ΔABC? B 4√√2 D 14 Note: Figure not drawn to scale. C
In the figure, AC ⊥ BC. What is the measure of ∠ABC?A) 50B) 55C) 60D) 65 30° 55° B Note: Figure not drawn to scale.
In the figure, ΔABC and ΔDBE are right triangles. If AC=12, BC =15, and DE = 8, what is the length of BE ?A) 8.5B) 9C) 9.5D) 10 A C D E B
The figure shows right triangle ΔABC and three squares. If the area of square region I is 80 square inches and the area of square region II is 150 square inches, which of the following is true about
A person 6 feet tall stands so that the ends of his shadow and the shadow of the pole coincide. The length of the person’s shadow was measured 7.5 feet and the length of the pole’s shadow, SD,
In the figure, AD = BD = BC. If m∠A = 26, what is the measure of ∠mDBC?A) 68B) 72C) 76D) 82 H D B C
In the figure, D̅E̅ ∥ A̅C̅What is the value of y?A) 5.2B) 5.6C) 6.0D) 6.4 A 8 D X 12 в 7.8 E y C
In the figure, P̅Q̅ ∥ S̅T̅ and segment PT intersects segment QS at R. What is the length of segment QS? P Q 5 R 6.4 8 S T
What is the area of rhombus ABCD above? A 10 45° B. 10 10 D 10 с
In □PQRS, PT = x + 2y, ST = 8x - y. PR = 32, TQ = 26, m∠1 = 6a, m∠2 = 10a, m∠3 = a2 - 7 and m∠PRS = 4a.What is the value of y? P S 3 T 2 R
The figure is an equilateral inscribed in a circle with radius 10.What is the measure of ∠AOC? A B 0 D 10 C
In the figure, what is the area of the isosceles triangle ABC? в 48 26 - C
What is the area of the isosceles trapezoid above?A) 238B) 252C) 276D) 308 A 13 B 12 E 18 F C 13 D
In □PQRS, PT = x + 2y, ST = 8x - y. PR = 32, TQ = 26, m∠1 = 6a, m∠2 = 10a, m∠3 = a2 - 7 and m∠PRS = 4a.What is the value of x? P S 3 T 2 R
In square ABCD, the length of diagonal AC is 5√2. What is the area of the square? B 5√2 C D
In □PQRS, PT = x + 2y, ST = 8x - y. PR = 32, TQ = 26, m∠1 = 6a, m∠2 = 10a, m∠3 = a2 - 7 and m∠PRS = 4a.What is the measure of ∠PQR? P S 3 T 2 R
In the figure, ABCD is a rectangle.What is the length of AE? B A 12 E > D
In the circle, if 6 = RS, 5 = OM, and 4 = ON, what is the length of PQ? S R M DD. Q N P
The figure is an equilateral inscribed in a circle with radius 10.What is the area of ΔABC? A B 0 D 10 C
The figure is an equilateral inscribed in a circle with radius 10.What is the length of BD? A B 0 D 10 C
The figure is an equilateral inscribed in a circle with radius 10.What is the length of OD? A B 0 D 10 C
In the figure, EO is the midsegment of trapezoid TRAP and RP intersect EO at point Z. If RA = 15 and EO = 18, what is the length of EZ ? T E R Z A P
What is the area of trapezoid PQRS?A) 20B) 24C) 26D) 32 P 30° 8 را Q. 3 10 R S
In the figure, ABCD is a rectangle.What is the area of ΔCED? B A 12 E > D
The figure is a regular pentagon whose radius is 6.What is the value of x? P a S 6 X R
In the figure, what is the area of the regionABCD? 11 в 12 4√3 C D
In the figure, ABCDEF is a regular hexagon with side lengths of 4. PQRS is a rectangle. What is the area of the shaded region? Q B P C A 4 D F R E S
In □PQRS, PT = x + 2y, ST = 8x - y. PR = 32, TQ = 26, m∠1 = 6a, m∠2 = 10a, m∠3 = a2 - 7 and m∠PRS = 4a.What is the measure of ∠QRS? P S 3 T 2 R
In □PQRS, PT = x + 2y, ST = 8x - y. PR = 32, TQ = 26, m∠1 = 6a, m∠2 = 10a, m∠3 = a2 - 7 and m∠PRS = 4a.What is the measure of ∠QTR? P S 3 T 2 R

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