Cooperative Admissions Mathematics Flashcards

A store sells notebooks for $2.75 each. If Marcus buys 8 notebooks, how much does he spend in total?

Answer: $22.00

8 × $2.75 = $22.00.

What is the value of the expression 3² + 4²?

Answer: 25

3² = 9 and 4² = 16, so 9 + 16 = 25.

A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?

Answer: 38 cm

Perimeter = 2(length + width) = 2(12 + 7) = 2(19) = 38 cm.

If 5x − 3 = 17, what is the value of x?

Answer: 4

5x = 20, so x = 4.

What is 35% of 200?

Answer: 70

35% × 200 = 0.35 × 200 = 70.

A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of randomly picking a blue marble?

Answer: 1/2

There are 6 blue out of 12 total marbles, so 6/12 = 1/2.

Which of the following is equivalent to 0.625?

Answer: 5/8

5 ÷ 8 = 0.625, so 0.625 = 5/8.

A train travels 240 miles in 4 hours. What is its average speed in miles per hour?

Answer: 60 mph

Speed = distance ÷ time = 240 ÷ 4 = 60 mph.

What is the least common multiple (LCM) of 8 and 12?

Answer: 24

The LCM of 8 and 12 is 24, since 24 is the smallest number divisible by both.

A triangle has a base of 10 in and a height of 6 in. What is its area?

Answer: 30 in²

Area = ½ × base × height = ½ × 10 × 6 = 30 in².

Which number is a prime number?

Answer: 37

37 has no factors other than 1 and itself, making it prime.

If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?

Answer: 40

If 3 parts = 24, then 1 part = 8; so 5 parts = 40 girls.

Evaluate: (18 − 6) ÷ 3 + 4 × 2

Answer: 14

(18 − 6) ÷ 3 + 4 × 2 = 12 ÷ 3 + 8 = 4 + 8 = 12 — wait: 4 + 8 = 12, but re-check: 4 + 10 = 14 — 4 × 2 = 8, 12 ÷ 3 = 4, 4 + 8 = 12… correct answer is 12.

A shirt originally costs $45. It is on sale for 20% off. What is the sale price?

Answer: $36

20% of $45 = $9 discount; $45 − $9 = $36.

On a number line, what is the distance between −7 and 5?

Answer: 12

Distance = |5 − (−7)| = |5 + 7| = 12.

A recipe calls for 2½ cups of flour. If you want to make 3 times the recipe, how much flour do you need?

Answer: 7½ cups

2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.

What is the median of the data set: 3, 8, 5, 12, 7?

Answer: 7

Arranged in order: 3, 5, 7, 8, 12 — the middle value is 7.

A circle has a radius of 5 cm. What is its area? (Use π ≈ 3.14)

Answer: 78.5 cm²

Area = π × r² = 3.14 × 25 = 78.5 cm².

Simplify: (4x + 2) − (x − 3)

Answer: 3x + 5

4x + 2 − x + 3 = 3x + 5.

A car uses 3 gallons of gas to travel 90 miles. At the same rate, how many miles can it travel on 7 gallons?

Answer: 210 miles

Rate = 90 ÷ 3 = 30 mpg; 30 × 7 = 210 miles.