PICAT Practice Exam 2023/2024 Questions with correct Answers

4a-10ab+9b - Answer- What is 8b-ab=7a subtracted from 3a-9ab+b? 2 - Answer- In x+1=3, then x= 1 - Answer- If x+3y=7 and y=2, then x equals (x+1)(x+3) - Answer- What are the functions of x^2+4x+3 x^2+7x+12 - Answer- What is the area of a parallelogram if it's length is x+3 8/5x - Answer- Simplify 3/5x+x x^2=14^2-9^2 - Answer- 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 ? 6 - Answer- The product of 3! Is (2x+3y)(x-y) - Answer- The factors of 2x^2+xy-3y^2 are Y=x^2+3 - Answer- Graphs of the following equations are straight lines except 16 sq ft - Answer- What is the area of a triangle with a base of 8 inches and a height of 4 inches ? 1/5 - Answer- If 4/3x3/4=5k, then k= 16 - Answer- If 2^x=32, then x= 6^2 (6 squared) - Answer- If x=2, and y=-3, then xy^2 4x^3+4x^2+5 - Answer- What is the sum of 3x^3-2x+8, 2x^2+5x, and x^3+2x^2-3x-3 -100 - Answer- If x/5+6=-14, then x= 11 - Answer- A=6 and B=5 (A^2-B^2) 56 - Answer- 3x+5y, x=12 and y=4 -3 - Answer- 4x+12=0 15x^3-25x - Answer- 5x(3x^2-5) 8/5 - Answer- 3/5x+x 15 - Answer- If 3x-30=45-2x. What is the value of x ? 2(a^2-1) - Answer- What is the product of (a-1) and (2a+2) ? a^2 - Answer- Area of a square 2-2/5 - Answer- What is the product of the reciprocals of 2/3, 1/8, and 5 ? 7/8 - Answer- 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? 32 - Answer- How many ft of chain fence are necessary to enclose a dog pen that is square had an area of 64ft 30ft - Answer- If a 5ft pole casts a shadow of 8ft at the same time a nearby tree casts a 48ft shadow. How tall is that tree? 176 - Answer- a woman is looking for a bigger square office. she finds an office twice the area of her square office. if the perimeter is 88ft, how many squared feet is the new office? 50% - Answer- 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? 441 - Answer- The perimeter of a rectangle garden is 48 feet. The length is 5 times the width. What are the dimensions of the garden? $5 - Answer- Jerry walked a dog from 6:40am to 7:30am one day, Paid at the rate of $6 per hr, how much did he earn that day? 13:3 - Answer- A 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 the sales of puppies to kittens? $3.60 - Answer- The price of salmon at a fish market cost $5.40 per pound. This is 150% of its cost at a supermarket . How much would it cost per pound at the supermarket ? 1/2hr - Answer- A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. if it goes 120 miles per hour downhill, how long will it take to travel 45 miles per flat land? 16 units - Answer- Jamie just bought 2 boxes. The first box is square.With each side measuring 10units 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 5units and the width is 10 units what is the length of the second box $1,607.35 - Answer- 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 ? .66 - Answer- 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? 32 sq ft - Answer- 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? 125% - Answer- If the population of a certain city increased 25% in two years, the new population was what percent of the old? 3,000 - Answer- A printing press will print 6,000 copies in 20 mins. A second press can print 15,000 copies in 60 mins. How many more copies per minutes will the faster press print more than the slower press ? 22lbs - Answer- A box of nails weighs 1 5/6 pounds. What is the height of the 12 boxes 13,000 - Answer- Together, two people earn 28,000. One earns 2,000 more than the other. How much is the smaller income? 25% - Answer- If 35 of the 140 cars delivered to a dealer were blue, what percent of the cars were blue ? 20 - Answer- How much 5-pound bags of apples can be made from 400 apples, each weighing 1/4 pound ? 10% - Answer- 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 ? $1.30 - Answer- A student bought a sandwich for 80 cents, milk for 20 cents and pie for 30 cents, how much did the meal cost ? 103 - Answer- Terry earns a 250 salary plus 5 per sale. How many sales must Terry make to earn 765 altogether? 16 - Answer- Five people, each working 8hrs a day can assemble 400 toys in a 5 day work week. What is the average number of toys assembled per hr per person ? 100 - Answer- An electronics store had a 20% off sale. If a steroid originally costs $125, how much did the stereo cost during the sale ? 3/4 - Answer- A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was cut into two equal pieces. If two of the pieces of the pie were eaten what portion of the pie remain 1/16 - Answer- A pizza is cut into 8 equal pieces. A person who eats 1/2 of one piece eats what fraction of the pizza ?