PICAT Verification AR & MK Exam Questions and Answers, Exams of Chemistry

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QUESTIONS AND ANSWERS

A radar is designed to report the track of an aircraft every second. If this radar reports 30 tracks in one minute, what percentage of the time did the radar track the aircraft? A. 3% B. 30% C. 40% D. 50% - - correct answer ✅50% Jerry walked a dog from 6:40am to 7:30am one day. If he was paid at the rate of 6$ per hour, how much did he earn that day? A. $4. B. $5. C. $5. D. $5. E. $6.60 - - correct answer ✅$ A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her current office is 88 feet, how many square feet is the new office? A. 176 sq feet B. 352 sq feet

QUESTIONS AND ANSWERS

C. 968 sq feet D. 1,200 sq feet - - correct answer ✅968 sq ft How many feet of chain fence are necessary to enclose a dog pen that is square and has an area of 64 square feet? A. 256 B. 64 C. 32 D. 16 - - correct answer ✅ 32 A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it can go on level ground. If it goes 120 mph downhill, how long will it take to travel 45 miles on flat land? A. 1/2 hour B. 2/3 hour C. 1-1/2 hours D. 2 hours - - correct answer ✅1/ Each August, a restaurant's rent is adjusted to the cost of living index. The rent has been 1,550 a month, and the cost of living index for this August was 3.7%. What is the new rent per month?

QUESTIONS AND ANSWERS

A. $1,594.

B. $1,607.

C. $2,123.

D. $5,735.00 - - correct answer ✅$1,607. There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability of that child getting a green marble? A.. B.. C.. D. .10 - - correct answer ✅0. Shawn purchased a shirt for $22.05. If this includes a 5% sales tax, what was the actual price of the shirt? A. $17. B. $20. C. $21. D. $23.15 - - correct answer ✅$20.

QUESTIONS AND ANSWERS

The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24 each. Today, only 2 puppies and 8 kittens were left. In dollar terms, what was the ratio of sales of puppies to kittens? A. 13 to 3 B. 11 to 1 C. 8 to 7 D. 1 to 3 - - correct answer ✅13: If the ratio of sides of two squares is 3:1, what is the ratio of their perimeters? A. 3: B. 4: C. 9: D. 12:1 - - correct answer ✅3: Jamie just bought two boxes. The first box is square, with each side measuring 10 units, and is 4 units high. The second box is rectangular and has twice the volume of the square box. If the height of the second box is 5 units, and the width is 10 units, what is the length of the second box? A. 10 units

QUESTIONS AND ANSWERS

B. 12 units C. 16 units D. 18 units - - correct answer ✅16 units A printing press will print 6,000 copies in 20 minutes. A second press can print 15,000 copies in 60 minutes. How many more copies per minute will the faster press print than the slower press? A. 50 copies B. 150 copies C. 450 copies D. 3,000 copies - - correct answer ✅ 50 What is the cost of mailing a package that weighs 2 pounds, 3 ounces, if the cost is $1.50 plus $0.05 for each ounce over 6 ounces? A. $3. B. $2. C. $2. D. $2. E. $1.75 - - correct answer ✅$2.

QUESTIONS AND ANSWERS

Debra and Ian shared in a $1,000,000 estate. If Ian received $125,000 and Debra the rest, What fraction of the estate did Debra receive? A. 1/ B. 5/ C. 3/ D. 4/ E. 7/8 - - correct answer ✅7/ The shaded region of the design shown is to be painted red. What is the area, in square units, of the shaded region? (Use = 3.14) A 43. B 62. C 121. D 137.2 - - correct answer ✅ 43 --- - - correct answer ✅--- Terry earns a $250 salary plus $5 per sale. How many sales must Terry make to earn $765 altogether? - - correct answer ✅ 103

QUESTIONS AND ANSWERS

If the perimeter of a square garden is 84 feet, what is the area of the garden? - - correct answer ✅441 sq ft If the population of a certain city increased 25% in two years, the new population was what percent of the old? - - correct answer ✅125% Together, two people earn $28,000. One earns $2,000 more than the other. How much is the smaller income? - - correct answer ✅$13, Before being painted, a concrete play area was marked off into squares and then into triangles. For the square shown, what is the area of the triangular part labeled XYZ? - - correct answer ✅32 sq ft How many 5 lb bags of apples can be made from 400 apples each weighing 1/4 of a pound? - - correct answer ✅ 20 A pie was cut into two equal pieces. Each of the pieces of pie was cut into half again and each of those smaller pieces was cut into two equal pieces. If two of the pieces of pie are eating what portion of the pie remains? - - correct answer ✅3/

QUESTIONS AND ANSWERS

A company announced that 40% of those enrolled in its training program will be sent to a new plant. If there are 60 people enrolled in the training program how many will be sent to the new plant? - - correct answer ✅ 24 40%of 60 If a 5-foot post casts an 8-foot Shadow at the same time a nearby tree casts a 48-foot shadow, how tall is the tree? - - correct answer ✅ 30 A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt? - - correct answer ✅3/ A sweater originally priced at $80 was marked down by 25% what was the sale price on the sweater? - - correct answer ✅$ An electronics store had a 20% off sale. If a stereo originally cost $125. how much did the stereo cost during the sale? - - correct answer ✅$ 5 people, each working 8 hours a day, can assemble 400 toys in a 5 day work week. What is the average number of toys assembled per hour, per person? - - correct answer ✅ 16

QUESTIONS AND ANSWERS

A box of nails weighs 1 5/6 lb what will be the weight of the 12 boxes? - - correct answer ✅22lbs A pizza is cut into 8 equal pieces. A person who eats 1/2 of one piece eats what fraction of the pizza? - - correct answer ✅1/ If 35 of the 140 cars are delivered to a dealer were blue, what percent of the cars were blue? - - correct answer ✅25% A plumber has a car payment of $250 per month, $225 of which goes to paying off the principal, and the rest goes toward the interest. What percent is being paid for interest? - - correct answer ✅10% --- - - correct answer ✅--- If a cyclist travels at an average of 24 miles per day, how many days will it take the cyclist to travel 600 miles? - - correct answer ✅ 25 days

QUESTIONS AND ANSWERS

How many monthly payments must be made to repay interest free loan of $1,540, if monthly payments are $55 each? - - correct answer ✅28 payments Mario eats twice as many walnuts as Yolanda. If Yolanda eats 6 walnuts every day, how many walnuts does Mario eat in a week? - - correct answer ✅84 walnuts If a package of corn chips weigh 1.2 ounces, what is the weight, in ounces, of 48 packages? - - correct answer ✅57. James regular pay is $12 an hour, plus time-and-a-half for overtime. How much is his pay for 40 hours of regular time and 10 hours of overtime? - - correct answer ✅$ A stereo can be purchased on the installment plan with a downpayment of $35 and then 15 payments of $22.50 each. If there is no sales tax, How much will the stereo cost if purchased on the installment plan? - - correct answer ✅$372. A pound of roast should cook for 20 mins. How long would a 5 pound roast take to cook? - - correct answer ✅1 hour 20 minutes

QUESTIONS AND ANSWERS

A family wants to arrive at the airport at 1:10am. If it takes 45 minutes to drive to the airport, and 30mins to get ready to leave, What time should the family wake up? - - correct answer ✅11:55pm A child is 2 ½ feet tall. The child's mother is twice as tall as the child. How tall is the child's mother? - - correct answer ✅5ft A boy walked to his friend's house 12 miles away. If he averaged 25 miles per hour, How many hours did it take to reach the house? - - correct answer ✅4.8 hours An airplane is at 32,000 feet above sea level and descends at an average rate of 1,000 feet per minute. How many minutes will it take for the airplane to land at the airport 3,000 feet above sea level? - - correct answer ✅29 minutes If a postage costs $.22 for the first ounce and $.17 for each additional ounce, what is the cost of postage for a letter weighing 3 ounces? - - correct answer ✅$0. If a baker doubles a recipe that calls for 6-2/3 cups of flour, how many cups of flour will be needed in all? - - correct answer ✅13 1/

QUESTIONS AND ANSWERS

MK - - correct answer ✅--- If x + 1 equals 3, then x equals - - correct answer ✅ 2 If A=6 and B= 5, what is the value of (a^2-b^2)^2 - - correct answer ✅ 121 What are the factors of x2+4x+3 - - correct answer ✅(x+3) (x+1) Simplify 3/5x+x - - correct answer ✅8/5x The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long which equation can be used to find the length of the remaining side - - correct answer ✅x2 = 14^2 - 9^ The product of 3! - - correct answer ✅ 6 The factors of 2x^2 + xy - 3y^2 are? - - correct answer ✅(2x + 3y)(x - y)

QUESTIONS AND ANSWERS

What is the product of the reciprocals of 2/3, 1/8, and 5 - - correct answer ✅2 2/ 8b-ab+7a subtracted from 3a-9ab+b - - correct answer ✅-4a-8ab-7b Which of the following is not a prime number? - - correct answer ✅ 1 The coordinates of points A and B are (2,4) and (-2,-4) respectively. What is the slope of the line that connects the two points? - - correct answer ✅ 2 What is the product of (a-1)(2a+2) - - correct answer ✅2 (a^2-1) The reciprocal of 3 1/5 is - - correct answer ✅5/ In the formula C=5/9(F - 32), if C= 35, then F =? - - correct answer ✅ 95 What is the circumference of a circle whose diameter is 10? - - correct answer ✅ 10 ⫪

QUESTIONS AND ANSWERS

The perimeter of a square and a rectangle are the same. If the rectangle has length 20 centimeters and width 12 centimeters, what is the area of the square? - - correct answer ✅256 cm --- - - correct answer ✅--- What is the area of a parallelogram if it's length is x + 4 and its height is x + 3 - - correct answer ✅A=B×H (X+4)(X+3) =x2+7x+ What is the area of a triangle with a base of 8 feet and a height of 4 feet? - - correct answer ✅A=1/2b×h 16 sq ft If 4/3×3/4=5k k=? - - correct answer ✅1/ the reciprocal of 7 - - correct answer ✅1/

QUESTIONS AND ANSWERS

• If x + 3y = 7 and y = 2, then x equals - - correct answer ✅
• answer ✅ What is the value of 3x + 5y, when x = 12 and y = 4? - - correct
• If 25 = 4x - 7, then x = - - correct answer ✅
• 16 = x/20, then x = - - correct answer ✅
• What is 12/50 in its simplest form? - - correct answer ✅6/
• What is 5x times (3x^2 - 5)? - - correct answer ✅15x^3 -
• 3(x + 6) = 39, then x= - - correct answer ✅
• If 2 = x - 3, then x equals - - correct answer ✅
• If 4x^2= 16, then x=? - - correct answer ✅
• -2^5 = - - correct answer ✅-

QUESTIONS AND ANSWERS

What is 3a^2 + a^2 added to a+6? - - correct answer ✅4a2 + a + 6 Square root of 9 is - - correct answer ✅ 3 -25-8 = - - correct answer ✅- Simplify the ratio 12:18 - - correct answer ✅2/ If x+$0.05=$0.83, then x= - - correct answer ✅$0. Jose is n years old. How old was he 7 years ago? - - correct answer ✅n- If n/8=4, then n equals? - - correct answer ✅ 32 Which of the following fractions is less than 25%? - - correct answer ✅1/

QUESTIONS AND ANSWERS

What is the volume of a rectangle box that has a length of nine units, a width of five units, and a height of six units? - - correct answer ✅270 CU units