# SCAT Level Test - Math

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• 1.

### If 8 - x = 4, and 10 + y = 12, then x - y = _____ ?

• A.

2

• B.

3

• C.

4

• D.

5

A. 2
Explanation
Given that 8 - x = 4, we can solve for x by subtracting 8 from both sides of the equation, which gives us -x = -4. Dividing both sides by -1, we find that x = 4. Similarly, we can solve the equation 10 + y = 12 by subtracting 10 from both sides, resulting in y = 2. Finally, we can find x - y by subtracting 2 from 4, which gives us 2. Therefore, the correct answer is 2.

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• 2.

### Twenty students brought animals to school for pet day. Eight students brought dogs, four students brought birds, two brought cats, and the rest brought other animals. What fraction of the students brought other animals?

• A.

or 3/10

• B.

or 6/14

• C.

or 10/12

• D.

or 3/20

A.  or 3/10
Explanation
Out of the twenty students, eight brought dogs, four brought birds, and two brought cats. This means that a total of 8 + 4 + 2 = 14 students brought either dogs, birds, or cats. Therefore, the remaining students, which is 20 - 14 = 6 students, brought other animals. To find the fraction, we divide the number of students who brought other animals (6) by the total number of students (20), resulting in 6/20. Simplifying this fraction gives us 3/10, which is the correct answer.

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• 3.

### 8 X 2 X 6 X 2 is equal to the product of 16 and

• A.

4

• B.

8

• C.

12

• D.

16

C. 12
Explanation
The given expression 8 X 2 X 6 X 2 can be simplified by performing the multiplication operations from left to right. Multiplying 8 and 2 gives 16, and then multiplying 16 and 6 gives 96. Finally, multiplying 96 and 2 gives the product of 192. Therefore, the correct answer is not available.

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• 4.

### Jennifer and Jose each swam five laps in 15 minutes. At the same rate of speed, how long would they need in order to swim 35 laps?

• A.

35 minutes

• B.

75 minutes

• C.

105 minutes

• D.

175 minutes

C. 105 minutes
Explanation
If Jennifer and Jose each swam five laps in 15 minutes, this means that they swim at a rate of one lap every three minutes. To find out how long they would need to swim 35 laps, we can multiply the rate by 35. One lap every three minutes multiplied by 35 laps equals 105 minutes. Therefore, the correct answer is 105 minutes.

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• 5.

### A square has a perimeter of 16. What is the length of one side?

• A.

2

• B.

4

• C.

6

• D.

8

B. 4
Explanation
The perimeter of a square is the sum of all its sides. In this case, the perimeter is given as 16. Since a square has all sides equal in length, we can divide the perimeter by 4 to find the length of one side. Therefore, the length of one side of the square is 4.

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• 6.

### Which of the following is the smallest?

• A.

0.0005

• B.

0.005

• C.

0.05

• D.

0.5

A. 0.0005
Explanation
The given numbers are all decimals, and we are asked to find the smallest one. To determine this, we compare the numbers and look for the one with the fewest digits to the right of the decimal point. Among the given options, 0.0005 has the fewest digits after the decimal point, making it the smallest number.

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• 7.

### Which of the following is equal to two-thirds?

• A.

or 4/12

• B.

or 6/12

• C.

or 10/15

• D.

or 12/15

C.  or 10/15
Explanation
The given answer, 10/15, is equal to two-thirds because when simplified, both fractions reduce to the same value. By dividing the numerator and denominator of 10/15 by their greatest common divisor, which is 5, we get 2/3. Therefore, the two fractions are equivalent.

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• 8.

• A.

Apples

• B.

Peaches

• C.

Grapes

• D.

Bananas

C. Grapes
• 9.

### Which of the following numbers is NOT a prime factor of 90 ?

• A.

2

• B.

3

• C.

5

• D.

9

D. 9
Explanation
A prime factor of a number is a prime number that divides the given number without leaving a remainder. In this case, 2, 3, and 5 are prime factors of 90 because they divide 90 evenly. However, 9 is not a prime factor of 90 because it is not a prime number and it does not divide 90 evenly. Therefore, 9 is the correct answer as it is the only number among the given options that is not a prime factor of 90.

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• 10.

### In a semester of 40 school days, Mrs. Alvarez was out sick twice. What percent of the time was she out sick ?

• A.

3 percent

• B.

4 percent

• C.

5 percent

• D.

10 percent

C. 5 percent
Explanation
Mrs. Alvarez was out sick twice in a semester of 40 school days. To find the percentage, we divide the number of days she was out sick (2) by the total number of school days (40) and multiply by 100. This gives us (2/40) * 100 = 5 percent. Therefore, the correct answer is 5 percent.

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• 11.

### To which number is the arrow pointing in Figure 2 ?

• A.

or 3/8

• B.

or 3 3/8

• C.

or 3 2/4

• D.

or 3 5/8

B.  or 3 3/8
Explanation
The arrow in Figure 2 is pointing to the number 3 3/8.

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• 12.

### In the Venn diagram in Figure 3, the shaded region shows people who drive _________ .

• A.

Cars and trucks

• B.

Trucks and motorcycles

• C.

Cars and motorcycles

• D.

Cars, trucks and motorcycles

A. Cars and trucks
Explanation
The shaded region in the Venn diagram represents the intersection of two sets: cars and trucks. This means that the shaded region shows people who drive both cars and trucks.

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• 13.

### The record for the 100-yard dash was 13.71 seconds. Andrew beat te record by a tenth of a second. What was Andrew's time ?

• A.

13.61 seconds

• B.

13.72 seconds

• C.

13.82 seconds

• D.

14.71 seconds

A. 13.61 seconds
Explanation
Andrew beat the record for the 100-yard dash by a tenth of a second. This means that Andrew's time must be one-tenth of a second faster than the previous record. Therefore, Andrew's time is 13.71 seconds minus 0.10 seconds, which equals 13.61 seconds.

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• 14.

### During a 24-hour day, Shannon's cat sleeps  (or 5/6) of the time. How many hours does the cat sleep ?

• A.

16 hours

• B.

18 hours

• C.

20 hours

• D.

22 hours

C. 20 hours
Explanation
During a 24-hour day, Shannon's cat sleeps for 5/6 of the time. To find out how many hours the cat sleeps, we can multiply 24 (total hours in a day) by 5/6. This calculation gives us 20 hours, which means the cat sleeps for 20 hours in a day.

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• 15.

### Kurt has four boxes. He wants to use the box with the smallest volume. Which box should Kurt use ?

• A.

2"high X 3"wide X 4"long

• B.

2"high X 4"wide X 5"long

• C.

3"high X 4"wide X 5"long

• D.

4"high X 5"wide X 6"long

A. 2"high X 3"wide X 4"long
Explanation
The box with the smallest volume is the one with dimensions 2" high X 3" wide X 4" long. This can be determined by calculating the volume of each box using the formula length x width x height. The volume of the first box is 2 x 3 x 4 = 24 cubic inches. The volume of the second box is 2 x 4 x 5 = 40 cubic inches. The volume of the third box is 3 x 4 x 5 = 60 cubic inches. The volume of the fourth box is 4 x 5 x 6 = 120 cubic inches. Therefore, the box with dimensions 2" high X 3" wide X 4" long has the smallest volume.

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• 16.

### The populations of four small towns are 11,361, 11, 924, 12,102 and 11,642. Which of the following shows the populations in order of smallest to largest ?

• A.

11,361, 11,642, 11,924, 12,102

• B.

11,361, 11,924, 11,642, 12,102

• C.

11,642, 11,924, 11,361, 12,102

• D.

12,102, 11,624, 11,924, 11,361

A. 11,361, 11,642, 11,924, 12,102
Explanation
The correct answer shows the populations in ascending order from smallest to largest. The population of the first town is 11,361, followed by 11,642, then 11,924, and finally 12,102.

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• 17.

### Which of these numbers is equal to  (or 65/100) ?

• A.

.065

• B.

0.65

• C.

6.5

• D.

65

B. 0.65
Explanation
The correct answer is 0.65 because it is the decimal representation of the fraction 65/100.

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• 18.

### Look at this series: 1, 3, 7, 15, 31, 63, .... What number comes next ?

• A.

64

• B.

126

• C.

127

• D.

133

C. 127
Explanation
The pattern in the series is that each number is obtained by multiplying the previous number by 2 and then subtracting 1. Starting with 1, we have 1*2-1=1, 1*2-1=3, 3*2-1=7, and so on. Therefore, the next number in the series would be 63*2-1=127.

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• 19.

### Christopher is nine times the age of his twin 4-year old sons. How old is Christopher ?

• A.

30 years old

• B.

32 years old

• C.

34 years old

• D.

36 years old

D. 36 years old
Explanation
Christopher is nine times the age of his twin 4-year old sons. This means that if we multiply the age of the sons by 9, we will get Christopher's age. Since the sons are 4 years old, 4 multiplied by 9 is 36. Therefore, Christopher is 36 years old.

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• 20.

### Darby was making a fruit smoothie. The ingredients included 15 percent yogurt, 40 percent ice, and 10 percent bananas. The only other thing she put in was frozen strawberries. What fractional part of the smoothie was made up of strawberries ?

• A.

or 7/20

• B.

or 55/100

• C.

or 13/20

• D.

or 65/100

A.  or 7/20
Explanation
The correct answer is 7/20. This can be determined by adding up the percentages of the ingredients in the smoothie. The yogurt, ice, and bananas make up a total of 15% + 40% + 10% = 65%. Since the remaining 35% must be the frozen strawberries, this means that the strawberries make up 35% of the smoothie. To express this as a fraction, we can write it as 35/100, which can be simplified to 7/20.

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• 21.

### What place does the 5 take in 23.654 ?

• A.

Tenths

• B.

Hundredths

• C.

Thousandths

• D.

Ten-thousandths

B. Hundredths
Explanation
The number 23.654 has five decimal places. The digit 5 is in the second decimal place after the decimal point, which represents hundredths.

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• 22.

### Mrs. Campton's classroom is 15 feet long and 22 feet wide. What is the area of her classroom ?

• A.

37 square feet

• B.

74 square feet

• C.

300 square feet

• D.

330 square feet

D. 330 square feet
Explanation
To find the area of a rectangle, we multiply its length by its width. In this case, the length of Mrs. Campton's classroom is 15 feet and the width is 22 feet. Multiplying these values together gives us an area of 330 square feet.

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• 23.

### The O'Malley's have a rectanglar pool that is 16' long and 8' wide. Their next-door neighbors want to build a congruent pool. What measurements will the neighbor's pool have ?

• A.

8' X 8'

• B.

8' X 16'

• C.

24' X 2'

• D.

16' X 16'

B. 8' X 16'
Explanation
The O'Malley's pool is rectangular and measures 16' long and 8' wide. The question asks for the measurements of the neighbor's pool, which needs to be congruent to the O'Malley's pool. Congruent means that the two pools will have the same shape and size. Therefore, the neighbor's pool will also be rectangular and have the same length as the O'Malley's pool, which is 16', and the same width as the O'Malley's pool, which is 8'. So, the neighbor's pool will have measurements of 8' x 16'.

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• 24.

### Casey makes a 30 percent profit for every sale she makes selling cosmetics. If she sells \$300 worth of cosmetics, how much money will she make ?

• A.

\$30

• B.

\$90

• C.

\$100

• D.

\$200

B. \$90
Explanation
If Casey makes a 30 percent profit for every sale she makes selling cosmetics, it means that she earns an additional 30 percent of the sale price as profit. So, if she sells \$300 worth of cosmetics, her profit would be 30% of \$300, which is \$90. Therefore, Casey will make \$90.

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• 25.

### Which if the following does NOT equal  (or 1/4) ?

• A.

or 2/8

• B.

or 3/12

• C.

or 4/16

• D.

or 8/20

D.  or 8/20
Explanation
The given answer, "or 8/20," does not equal 1/4 because when simplified, it becomes 2/5.

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• 26.

### Approximately how long is the drive from point A to point B in Figure 4 ?

• A.

12 miles

• B.

14 miles

• C.

16 miles

• D.

20 miles

C. 16 miles
Explanation
Based on the information provided, the drive from point A to point B in Figure 4 is approximately 16 miles.

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• 27.

### Cecile received \$10 as an allowance. She spent \$1.15 on ice cream and \$3.49 on a magazine. How much does Cecile have left ?

• A.

\$4.64

• B.

\$5.36

• C.

\$6.51

• D.

\$8.85

B. \$5.36
Explanation
Cecile received \$10 as an allowance. She spent \$1.15 on ice cream and \$3.49 on a magazine. To find out how much she has left, we need to subtract the total amount she spent from her initial allowance. \$10 - \$1.15 - \$3.49 = \$5.36. Therefore, Cecile has \$5.36 left.

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• 28.

### The school bus can hold 50 children. Which two classes can use the school bus for their field trip ?

• A.

A class of 14 and a class of 32

• B.

A class of 15 and a class of 36

• C.

A class of 25 and a class of 26

• D.

A class of 30 and a class of 25

A. A class of 14 and a class of 32
Explanation
The school bus can hold 50 children. Since the first class has 14 children and the second class has 32 children, the total number of children is 14 + 32 = 46, which is less than the capacity of the bus. Therefore, these two classes can use the school bus for their field trip.

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• 29.

### Rover's dog food costs \$19.85 for a 20-pound bag. Trixie's cat food costs \$9.24 for a 10-pound bag. Which costs more?

• A.

One bag of dog food

• B.

Two bags of cat food

• C.

The quantities are the same

• D.

The answer cannot be determined from the information given.

A. One bag of dog food
Explanation
One bag of dog food costs more than two bags of cat food because the price of the dog food is \$19.85 for a 20-pound bag, while the price of the cat food is \$9.24 for a 10-pound bag. Therefore, the cost per pound of the dog food is higher than the cost per pound of the cat food.

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• 30.

### In a grocery cart, there is an equal number of vegetables, fruits, and breads. How many items could be in the cart ?

• A.

14

• B.

38

• C.

42

• D.

56

C. 42
Explanation
Since there is an equal number of vegetables, fruits, and breads in the grocery cart, the total number of items must be divisible by 3. Among the given options, only 42 is divisible by 3. Therefore, 42 is the possible number of items that could be in the cart.

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• 31.

### Which transformation has been applied to the shape in Figure 5 ?

• A.

A reflection

• B.

A slide

• C.

A turn

• D.

A slide followed by a turn

A. A reflection
Explanation
The correct answer is a reflection. A reflection is a transformation that flips a shape over a line, creating a mirror image. In Figure 5, the shape has been reflected across a line, resulting in a mirror image of the original shape.

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• 32.

### Libby types 75 words per minute. How many words does she type per second ?

• A.

0.75

• B.

1.25

• C.

2

• D.

7.5

B. 1.25
Explanation
To find the number of words Libby types per second, we need to convert her typing speed from words per minute to words per second. There are 60 seconds in a minute, so we divide 75 words by 60 to get the number of words Libby types per second. This calculation gives us 1.25, which means that Libby types 1.25 words per second.

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• 33.

### In a geography class of 24 students, each student had to select a state on which to give a three-minute report. How long did the presentation last to total ?

• A.

1 hour, 6 minutes

• B.

1 hour, 12 minutes

• C.

1 hour, 15 minutes

• D.

1 hour, 30 minutes

B. 1 hour, 12 minutes
Explanation
Each student had to give a three-minute report, and there are 24 students in the class. Therefore, the total time for all the presentations would be 3 minutes multiplied by 24 students, which equals 72 minutes. Since there are 60 minutes in an hour, the total presentation time would be 1 hour and 12 minutes.

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• 34.

### If the shaded section of the circle in Figure 6 signifies 850 types of flowers, how many flowers could the unshaded section represent ?

• A.

750

• B.

800

• C.

850

• D.

900

D. 900
Explanation
The shaded section of the circle represents 850 types of flowers. Since the circle represents the total number of flowers, the unshaded section would represent the remaining types of flowers that are not included in the shaded section. Therefore, the unshaded section could represent 900 flowers.

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• 35.

### Rebecca, Ian, and Clare were driving at the same speed. It took Rebecca 20 minutes to drive 15 miles. How long did it take Ian to drive 30 miles ?

• A.

40 minutes

• B.

50 minutes

• C.

60 minutes

• D.

70 minutes

A. 40 minutes
Explanation
Since Rebecca and Ian were driving at the same speed, it can be assumed that their speed was constant. Rebecca took 20 minutes to drive 15 miles, which means she was driving at a speed of 15 miles/20 minutes or 0.75 miles per minute. Therefore, if Ian had to drive 30 miles, it would take him 30 miles / 0.75 miles per minute, which equals 40 minutes.

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• Mar 21, 2023
Quiz Edited by
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• Nov 24, 2011
Quiz Created by
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