COOP Cooperative Admissions Mathematics — Questions and Answers

Question 1: A store sells notebooks for $2.75 each. If Marcus buys 8 notebooks, how much does he spend in total?

$20.00
$21.50
$22.00 (Correct answer)
$22.50

Correct answer: $22.00

8 × $2.75 = $22.00.

Question 2: What is the value of the expression 3² + 4²?

14
25 (Correct answer)
49
7

Correct answer: 25

3² = 9 and 4² = 16, so 9 + 16 = 25.

Question 3: A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?

38 cm (Correct answer)
84 cm
19 cm
48 cm

Correct answer: 38 cm

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

Question 4: If 5x − 3 = 17, what is the value of x?

2.8
4 (Correct answer)
3.5
5

Correct answer: 4

5x = 20, so x = 4.

Question 5: What is 35% of 200?

60
65
70 (Correct answer)
75

Correct answer: 70

35% × 200 = 0.35 × 200 = 70.

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

1/2 (Correct answer)
1/3
1/6
2/3

Correct answer: 1/2

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

Question 7: Which of the following is equivalent to 0.625?

5/9
3/4
5/8 (Correct answer)
7/10

Correct answer: 5/8

5 ÷ 8 = 0.625, so 0.625 = 5/8.

Question 8: A train travels 240 miles in 4 hours. What is its average speed in miles per hour?

48 mph
60 mph (Correct answer)
64 mph
56 mph

Correct answer: 60 mph

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

Question 9: What is the least common multiple (LCM) of 8 and 12?

24 (Correct answer)
48
36
96

Correct answer: 24

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

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

60 in²
30 in² (Correct answer)
16 in²
120 in²

Correct answer: 30 in²

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

Question 11: Which number is a prime number?

21
27
37 (Correct answer)
51

Correct answer: 37

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

Question 12: If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?

32
40 (Correct answer)
36
45

Correct answer: 40

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

Question 13: Evaluate: (18 − 6) ÷ 3 + 4 × 2

12
14 (Correct answer)
16
18

Correct 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.

Question 14: A shirt originally costs $45. It is on sale for 20% off. What is the sale price?

$34
$36 (Correct answer)
$38
$40

Correct answer: $36

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

Question 15: On a number line, what is the distance between −7 and 5?

2
7
12 (Correct answer)
−2

Correct answer: 12

Distance = |5 − (−7)| = |5 + 7| = 12.

Question 16: A recipe calls for 2½ cups of flour. If you want to make 3 times the recipe, how much flour do you need?

6 cups
6½ cups
7 cups
7½ cups (Correct answer)

Correct answer: 7½ cups

2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.

Question 17: What is the median of the data set: 3, 8, 5, 12, 7?

5
7 (Correct answer)
8
12

Correct answer: 7

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

Question 18: A circle has a radius of 5 cm. What is its area? (Use π ≈ 3.14)

31.4 cm²
78.5 cm² (Correct answer)
15.7 cm²
62.8 cm²

Correct answer: 78.5 cm²

Area = π × r² = 3.14 × 25 = 78.5 cm².

Question 19: Simplify: (4x + 2) − (x − 3)

3x − 1
3x + 5 (Correct answer)
5x − 1
5x + 5

Correct answer: 3x + 5

4x + 2 − x + 3 = 3x + 5.

Question 20: A car uses 3 gallons of gas to travel 90 miles. At the same rate, how many miles can it travel on 7 gallons?

180 miles
200 miles
210 miles (Correct answer)
240 miles

Correct answer: 210 miles

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

Question 21: What is the greatest common factor (GCF) of 36 and 48?

6
9
12 (Correct answer)
18

Correct answer: 12

Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; GCF = 12.

COOP Cooperative Admissions Mathematics

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

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