CCAT Assessment (Numerical Reasoning)

If a book originally costs $20 and is discounted by 25%, what is the discounted price?

• $15

• $17.50

• $18

• $20.50

Answer explanation

The discounted price of the book is $15, which is obtained by subtracting 25% of $20 from the original price. Therefore, the correct choice is $15.

Tags

CCSS.6.RP.A.3C

A recipe requires 3/4 cup of flour. If you want to make 2.5 times the recipe, how many cups of flour do you need?

• 1.5

• 1.875

• 2

• 2.25

Answer explanation

To make 2.5 times the recipe, multiply 3/4 by 2.5. The result is 1.875 cups of flour, which is the correct choice.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

If the sum of two consecutive integers is 35, what are the two integers?

• 16, 19

• 17, 18

• 18, 19

• 19, 20

Answer explanation

The sum of two consecutive integers is 35. The correct choice is 17, 18 because these two numbers add up to 35.

Tags

CCSS.8.EE.C.7B

If a train travels at a speed of 80 miles per hour, how far will it travel in 3.5 hours?

• 240 miles

• 280 miles

• 320 miles

• 350 miles

Answer explanation

If a train travels at a speed of 80 miles per hour for 3.5 hours, it will cover a distance of 280 miles. Therefore, the correct answer is 280 miles.

Tags

CCSS.6.NS.B.3

Solve for x: 2x + 5 = 17

• 6

• 7

• 8

• 9

Answer explanation

To solve the equation 2x + 5 = 17, we need to isolate x. Subtracting 5 from both sides gives 2x = 12. Dividing both sides by 2, we find x = 6. Therefore, the correct answer is 6.

Tags

CCSS.7.EE.B.4A

If the diameter of a circle is 12 centimeters, what is its circumference? (Use π = 3.14)

• 37.68 centimeters

• 37.68 inches

• 37.68 meters

• 37.68 kilometers

Answer explanation

The circumference of a circle can be found by multiplying the diameter by π. Therefore, the circumference of a circle with a diameter of 12 centimeters is 37.68 centimeters.

Tags

CCSS.7.G.B.4

If a pizza is cut into 8 equal slices and 5 slices are eaten, what fraction of the pizza remains uneaten?

• 3/8

• 5/8

• 3/5

• 5/3

Answer explanation

If a pizza is cut into 8 equal slices and 5 slices are eaten, 3/8 of the pizza remains uneaten. This is because 5 out of 8 slices were eaten, leaving 3 out of 8 slices uneaten.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

If a box contains 24 chocolates and 3/8 of them are dark chocolates, how many dark chocolates are there?

• 6

• 9

• 12

• 18

Answer explanation

Out of the 24 chocolates, 3/8 are dark chocolates. To find the number of dark chocolates, multiply 24 by 3/8. The answer is 9, which matches the correct choice.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

A shop sells oranges at 3 for $1. How many oranges can you buy for $4?

• 9

• 10

• 11

• 12

Answer explanation

You can buy 12 oranges for $4 because 3 oranges cost $1, so 12 oranges will cost $4. Therefore, the correct choice is 12.

Tags

CCSS.6.RP.A.3B

A rectangular swimming pool is 20 meters long and 10 meters wide. What is the perimeter of the pool?

• 40 meters

• 50 meters

• 60 meters

• 70 meters

Answer explanation

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the length is 20 meters and the width is 10 meters. So, the perimeter of the pool is 2 * (20 + 10) = 60 meters. Therefore, the correct answer is 60 meters.

Tags

CCSS.4.MD.A.3