Picat (2025) Exam Questions and Answers| Latest Update
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A radar is designed to report the track of an aircraft every second. If this reports 30 tracks in one
minute, what percentage of the time did the radar track the aircraft? 50%
Jerry walked a dog from 6:40 a.m to 7:30 a.m one day. If he was paid at the rate of $6 per hour
how much did he earn that day? $5.00
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 is 88 ft, how many square ft is the new office? 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 sq ft? 32
If the perimeter of a square garden is 84ft, what is the area of the garden? 441 sq ft
The pet store had 6 puppies selling for $104 each and 12 kittens selling for 24 each. Today, only
two puppies and 8 kittens were left. In dollar terms, what was the ratio of sales of puppies to
kittens? 13 to 3
The price of salmon at a fish market is $5.40 per pound. This is 150% of its cost at a
supermarket. How much would it cost per pound at the supermarket 3.60
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 miles per hour downhill, how long will it take to travel 45 miles on flat
land? 1/2 hours
, 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? 16 units
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? .40
If the population of a certain city increased 25% in two years, the new population was what
percent of the old? 125%
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?
$5,735.00
Before being painted, a concrete play area was marked off into squares and then into triangles.
For the square shown, what is the area of the triangular part labeled XYZ? 32 sq ft
If a printing press will print 6,000 copies in 20 minutes. A second press can print 15,000 copies
in 60 minutes. How many more copies per minute will the faster press print than the slower
press? 3,000
Debra and Ian shared in a 1,000,000$ estate. If Ian received 125,000, and Debra the rest, what
fraction of the estate did Debra receive? 7/8
If 4x + 12 = 0, then x = -3
What are the factors of x^2 + 4x + 3 (x + 3)(x + 1)
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A radar is designed to report the track of an aircraft every second. If this reports 30 tracks in one
minute, what percentage of the time did the radar track the aircraft? 50%
Jerry walked a dog from 6:40 a.m to 7:30 a.m one day. If he was paid at the rate of $6 per hour
how much did he earn that day? $5.00
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 is 88 ft, how many square ft is the new office? 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 sq ft? 32
If the perimeter of a square garden is 84ft, what is the area of the garden? 441 sq ft
The pet store had 6 puppies selling for $104 each and 12 kittens selling for 24 each. Today, only
two puppies and 8 kittens were left. In dollar terms, what was the ratio of sales of puppies to
kittens? 13 to 3
The price of salmon at a fish market is $5.40 per pound. This is 150% of its cost at a
supermarket. How much would it cost per pound at the supermarket 3.60
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 miles per hour downhill, how long will it take to travel 45 miles on flat
land? 1/2 hours
, 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? 16 units
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? .40
If the population of a certain city increased 25% in two years, the new population was what
percent of the old? 125%
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?
$5,735.00
Before being painted, a concrete play area was marked off into squares and then into triangles.
For the square shown, what is the area of the triangular part labeled XYZ? 32 sq ft
If a printing press will print 6,000 copies in 20 minutes. A second press can print 15,000 copies
in 60 minutes. How many more copies per minute will the faster press print than the slower
press? 3,000
Debra and Ian shared in a 1,000,000$ estate. If Ian received 125,000, and Debra the rest, what
fraction of the estate did Debra receive? 7/8
If 4x + 12 = 0, then x = -3
What are the factors of x^2 + 4x + 3 (x + 3)(x + 1)