1. Each can of Brand A paint will cover 200 square feet. A building has two walls to be painted. One is a rectangle with length 30 feet and width 16.5 feet, and the other is a triangle with height 12 feet and base 16 feet. What is the least number of cans of Brand A paint that are needed to paint the two walls in their entirety?
A. 2
B. 3 Correct
C. 4
D. 5
Explanation
Rectangle area: 30 x 16.5 = 495 sq ft. Triangle area: (1/2) x 16 x 12 = 96 sq ft. Total: 495 + 96 = 591 sq ft, needing 591 / 200 = 2.955 cans, so 3 cans (B) are required.
2. Which of the following statements is true about the number 90?
A. It has 10 as a multiple
B. It has 6 and 15 as factors Correct
C. It has four distinct prime factors
D. It is divisible by 9 but not by 18
Explanation
Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, so B is correct. A is false as 10 is a factor; C is false as 90 has three prime factors (2, 3, 5); D is false as 90 is divisible by both 9 and 18. This tests number properties.
3. Which of the following is a decomposition of the number 1260?
A. 12 hundreds and 6 tens
B. 11 hundreds and 60 tens
C. 1 thousand and 26 hundreds
D. 1 thousand, 2 hundreds, and 60 tens Correct
Explanation
1260 = 1 thousand (1000) + 2 hundreds (200) + 60 tens (60 x 10 = 60), so D is correct. A equals 1260 but mislabels tens; B is 7100; C is 3600. This tests place value decomposition.
4. A high school schedules 288 students to take a math class during first period. If there are 12 math teachers, what is the student-to-teacher ratio for the math classes during first period?
A. 12 to 1
B. 24 to 1 Correct
C. 36 to 1
D. 48 to 1
Explanation
288 students / 12 teachers = 24, so the ratio is 24 to 1 (B). Other options result from incorrect divisions. This assumes equal distribution. It’s a simple ratio calculation.
5. Based on the preceding computation, what is the value of 1085 / 12?
A. 90
B. 90{5/1085}
C. 90{5/12}
D. 90.5 Correct
Explanation
1085 / 12 = 90.4166, rounding to 90.5 (D). A ignores the decimal; B and C are incorrect fractions. This uses a new dividend despite referencing the prior problem. It tests division accuracy.