Regents Prep: Math A Multiple-Choice Questions
Regents Prep Math A: Topical Multiple-Choice Question Archive
Use of Topical Archive Multiple-Choice Questions
 Teachers: Feel free to copy and paste any of the multiple-choice questions below for use in creating your own Regents-style assessments. Graphics are easily downloaded by right-clicking on the desired image and selecting either Save Picture As... (Internet Explorer) or Save Image As... (Netscape).

Measurement: Question 1 of 31
 During a recent winter, the ratio of deer to foxes was 7 to 3 in one county of New York State. If there were 210 foxes in the county, what was the number of deer in the county? 90 147 280 490 Correct Answer Number: 4 Explanation: Since the ratio of deer to foxes is 7 to 3, you can represent the number of deer by 7x and the number of foxes by 3x. If there are 210 foxes, you know that 3x = 210 and x = 70. This means that the number of deer (7x) must be 7(70)=490. More Information

Measurement: Question 2 of 31
 The Pentagon building in Washington, D.C., is shaped like a regular pentagon. If the length of one side of the Pentagon is represented by n + 2, its perimeter would be represented by 5n + 10 5n + 2 n + 10 10n Correct Answer Number: 1 Explanation: A regular pentagon has 5 sides of equal length. The perimeter would be 5(n+2) which equals 5n+10. More Information

Measurement: Question 3 of 31
 The ratio of the corresponding sides of two similar squares is 1 to 4. What is the ratio of the area of the smaller square to the area of the larger square? 1:2 1:4 1:8 1:16 Correct Answer Number: 4 Explanation: If two figures are similar, the ratio of their areas is the square of the ratio of their corresponding sides. More Information

Measurement: Question 4 of 31
 What is the diameter of a circle whose circumference is 5?   A B C D Correct Answer Number: 4 Explanation: Notice that the problem is asking for the DIAMETER. Use the formula for circumference which utilizes the diameter, C=(pi)d. The formula becomes 5=(pi)d. Solving for d gives answer choice 4. More Information

Measurement: Question 5 of 31
 In the figure below, ACDH and BCEF are rectangles, AH=2, GH=3, GF=4, and FE=5. What is the area of BCDG?   6 8 10 20 Correct Answer Number: 3 Explanation: The area of a rectangle is A=bh. Sides DG and EF are equal. Sides AH and BG are equal. Therefore, the area is 5 times 2 which is 10 square units. More Information

Measurement: Question 6 of 31
 What is the slope of the line shown in the figure below?   4/3 3/4 -(3/4) -(4/3) Correct Answer Number: 1 Explanation: Remember that slope is the rise over the run. Simply counting the rise and run between the two points shown in the diagram will give the slope. More Information

Measurement: Question 7 of 31
 If 6 and x have the same mean (average) as 2, 4, and 24, what is the value of x? 5 10 14 36 Correct Answer Number: 3 Explanation: The mean of 2, 4, and 24 is (2+4+24)/3=10. This means that (6+x)/2=10. Solving for x, we get 6+x=20 and x=14.

Measurement: Question 8 of 31
 Sterling silver is made of an alloy of silver and copper in the ratio of 37:3. If the mass of a sterling silver ingot is 600 grams, how much silver does it contain? 48.65 g 200 g 450 g 555 g Correct Answer Number: 4 Explanation: Represent this problem with the equation 37x + 3x = 600. Combining terms gives 40x = 600. Solving for x shows that x = 15. Now, the amount of silver is represented by 37x, so substitution is necesssary 37(15)=555. More Information

Measurement: Question 9 of 31
 What is the distance between points A(3,1) and B(5,-3)?   A B C D Correct Answer Number: 3 Explanation: Use the Distance formula to solve this problem OR plot the points on graph paper, form a right triangle, and use the Pythagorean theorem. More Information

Measurement: Question 10 of 31
 For what value of x will x and 12 have the same mean (average) as 4 and 30? 4 48 22 12 Correct Answer Number: 3 Explanation: The average of 4 and 30 is 34/2 = 17. In order for 2 numbers to have an average of 17, they must ADD to 34. The missing value must be 22 so that 22 + 12 = 34.

Measurement: Question 11 of 31
 If the edge of a cube is 9 inches and the edge of a second cube is 7 inches, the difference in the volumes of these cubes is: 32 63 343 386 Correct Answer Number: 4 Explanation: The volume of the first cube is (9)(9)(9)=729. The volume of the second cube is (7)(7)(7)=343. The difference is 386. More Information

Measurement: Question 12 of 31
 The perimeter of a rectangle is 40. One of the sides is 5. Find the lengths of the other three sides. 10, 10, 10 5, 10, 10 5, 15, 15 10, 15, 15 Correct Answer Number: 3 Explanation: Perimeter is the distance around the outside. A rectangle has opposite sides equal. One of the other sides is 5, which leaves 30 units (from the 40 in the perimeter) to be split between the other two sides. More Information

Measurement: Question 13 of 31
 Find the area of a circle whose diameter is 10. Express answer to the nearest tenth. 628.4 314.2 78.5 39.2 Correct Answer Number: 3 Explanation: Be Careful! This problem give the diameter (10), but the area formula requires the radius (5). Area of a circle is pi times the radius squared. More Information

Measurement: Question 14 of 31
 If the legs of a right triangle are 6 and 10, find the length of the hypotenuse to the nearest tenth. 8.0 11.7 12.0 13.6 Correct Answer Number: 2 Explanation: Use the Pythagorean Theorem c²=a²+b² More Information

Measurement: Question 15 of 31
 What are the coordinates of the y-intercept of the equation y - 3x = 5? (0,5) (0,-5) (0,3) (0,-3) Correct Answer Number: 1 Explanation: Put the equation in y=mx+b form and read the value for b. y=3x+5 and b=5. The y-intercept is at 5. The coordinates are (0,5). More Information

Measurement: Question 16 of 31
 What is the equation of line whose slope is 3 and passes through the point (1,2)? y=3x+2 y=x+2 y=3x+1 y=3x-1 Correct Answer Number: 4 Explanation: Use the point-slope form. y-y1=m(x-x1) y-2=3(x-1) y-2=3x-3 y=3x-1 More Information

Measurement: Question 17 of 31
 The measures of the angles in a triangle are in the ratio of 1:2:6. Find the number of degrees in the largest angle of the triangle. 20º 40º 90º 120º Correct Answer Number: 4 Explanation: The angles of a triangle add to 180º. x + 2x + 6x = 180 9x=180 x=20 Be careful! The question asks for the LARGEST angle. Substitute:6x=6(20)=120º More Information

Measurement: Question 18 of 31
 If the lengths of the sides of a square are doubled, then the area of the sqaure would be multiplied by 1 2 4 8 Correct Answer Number: 3 Explanation: Set up an example: If the side is 3, the area is 9. If the side is doubled(6), the area is 36. The area is multiplied by 4. More Information

Measurement: Question 19 of 31
 The slope of a vertical line is 0 1 -1 undefined Correct Answer Number: 4 Explanation: A vertical line has "rise" but no "run". Thus, the denominator in the rise/run formula is 0 and it is an undefined fraction. More Information

Measurement: Question 20 of 31
 How many pounds of ground beef should you buy to make 120 hamburgers, if each burger patty will weigh 5 ounces before cooking? 16 32 38 60 Correct Answer Number: 3 Explanation: ? lbs/5 oz = 1 lb/16 oz Solving for the question mark gives 0.313. Multiply times 120 and you get 37.5. Round to 38 for the number of pounds needed. More Information

Measurement: Question 21 of 31
 If you needed to determine the size of an angle in an architectural drawing, which mathematical tool would you most likely use? a compass vernier caliphers a protractor a micrometer Correct Answer Number: 3 Explanation: Protractors are used to measure angles. More Information

Measurement: Question 22 of 31
 Find the median: 5, 15, 10, 15, 5, 10, 10, 20, 25, 15. 10 12.5 15 There is no median value. Correct Answer Number: 2 Explanation: Arrange the values into ascending order: 5, 5, 10, 10, 10, 15, 15, 15, 20, 25 Since both 10 and 15 fall in the middle, the median is the average of these two values. (10+15)/2=12.5

Measurement: Question 23 of 31
 If sin A = 0.1908, find the number of degrees in angle A. 0.003º 3º 11º 13º Correct Answer Number: 3 Explanation: Use your calculator. If using a scientific calculator, enter 0.1908 and hit the value ABOVE the sin key. More Information

Measurement: Question 24 of 31
 A ladder 6 feet long leans against a wall and makes an angle of 71º with the ground. Find to the nearest tenth of a foot how high up the wall the ladder will reach. 2.0 3.5 5.7 6.0 Correct Answer Number: 3 Explanation: Draw a diagram. The right triangle has a hypotenuse of 6 and the angle of 71º should be placed between the ladder and the ground. Place x on the vertical side. The correct trig. function is sin 71º=x/6. More Information

Measurement: Question 25 of 31
 Solve for x: x/(x+8) = 5/15 3 4 5 6 Correct Answer Number: 2 Explanation: Cross multiply and solve. 15x = 5(x + 8) 15x = 5x + 40 10x = 40 x = 4 More Information

Measurement: Question 26 of 31
 If one inch represents 10 feet, what dimensions would you use to make a scale drawing of a building 20 feet by 40 feet? 2 in. by 4 in. 10 in. by 40 in. 4 in. by 5 in. 5 in. by 10 in. Correct Answer Number: 1 Explanation: Establish two proportions: Width: 1/10=x/20 x=2 inches Length: 1/10=y/40 y=4 inches More Information

Measurement: Question 27 of 31
 In a magazine, 30 pages of the 80 pages are devoted to sports. What percent of the magazine is devoted to sports? 2.7% 3.75% 27% 37.5% Correct Answer Number: 4 Explanation: Written literally: 30 = m% of 80 30 = (m/100)(80) 30 = (80m)/100 80m=3000 m=37.5 More Information

Measurement: Question 28 of 31
 Find the midpoint between the points (6,4) and (3,-4). (1.5,0) (9,8) (4.5,0) (9,0) Correct Answer Number: 3 Explanation: Use the midpoint formula: (x,y)=((x1+x2)/2,(y1+y2)/2) ((6+3)/2,(4+(-4))/2)=(9/2,0/2)=(4.5,0) More Information

Measurement: Question 29 of 31
 M is the midpoint of segment AB. The coordinates of A are (2,3) and the coordinates of M are (4.5,6). Find the coordinates of B. (9,18) (7,9) (3.25,4.5) (2.5,1.5) Correct Answer Number: 2 Explanation: Use the midpoint formula and solve for the missing value: (x,y)=((x1+x2)/2,(y1+y2)/2) (4.5,6)=((2+x2)/2,(3+y2)/2) 4.5=(2+x2)/2 and 9=2+x2 and 7=x2 6=(3+y2)/2 and 12=3+y2 and 9=y2 More Information

Measurement: Question 30 of 31
 Find the slope of a line perpendicular to the line whose equation is 3y + 2x = 6. 2 -2 -3/2 3/2 Correct Answer Number: 4 Explanation: Perpendicular lines have negative reciprocal slopes. Rewrite the equation to read its slope: 3y=-2x+6 y=-2/3+2 so the slope is (-2/3). The negative reciprocal of (-2/3) is 3/2. More Information

Measurement: Question 31 of 31
 Bosie, the cow, weighs 851 pounds, to the nearest pound. Which weight listed cannot be the actual weight of the cow? 850.6 pounds 851.0 pounds 851.4 pounds 851.6 pounds Correct Answer Number: 4 Explanation: 851.6 pounds would round to 852 pounds to the nearest pound. More Information

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