MATH DIAGNOSTIC TEST(STUDY) WITH COMPLETE
SOLUTIONS 100% 2023/2024
Which of the following is equivalent to \(\frac{1}{200}\)?
A. 1/2 of 1%
B. 5%
C. 2%
D. \(0.200\)
A. 1/2 of 1%
Mr. Green had 30 pencils for his students. Three students wanted two pencils each. Then, a new
student came to the school that day and he wanted three pencils. Then, one of the first three
students gave their two pencils back. How many pencils did Mr. Green have left to pass out? Which
formula provides the correct solution to the problems?
A. 30 - (3 x 2) -3 + 2
B. 30 - 3 x 2 + 3 - 2
C. 30 x (3 - 2 - 3 ) + 2
D. 30 + 3 x (2 + 3) + 2
A. 30 - (3 x 2) -3 + 2
Which of the following illustrates the property of reciprocals?
A. Multiplying 23/16 by 16/23 gives the same product as multiplying 16 by 23.
B. The numbers 65, 70, and 12 can be added together in any order, and the sum will always be the
same.
C. The sum of 102 and 9 is the same as the sum of 9 and 102.
D. The product of 31 and 1/31 equals 1.
D. The product of 31 and 1/31 equals 1.v
A school wants to create a vegetable garden for students as an applied science project. The school
principal wants you to go see a supplier to order a fence for it. The garden is 30 feet wide and 44 feet
long; however, there will be a gate which is 4 feet wide. How many feet of fencing are needed?
A. 1320 feet
B. 148 feet
C. 144 feet
D. 132 feet
(C) This problem is asking for perimeter. The formula for perimeter of a rectangle is 2L + 2W or 2(44) +
2(30) = 148; however, the size of the gate (4 feet) must be subtracted 148-4 = 144.
SOLUTIONS 100% 2023/2024
Which of the following is equivalent to \(\frac{1}{200}\)?
A. 1/2 of 1%
B. 5%
C. 2%
D. \(0.200\)
A. 1/2 of 1%
Mr. Green had 30 pencils for his students. Three students wanted two pencils each. Then, a new
student came to the school that day and he wanted three pencils. Then, one of the first three
students gave their two pencils back. How many pencils did Mr. Green have left to pass out? Which
formula provides the correct solution to the problems?
A. 30 - (3 x 2) -3 + 2
B. 30 - 3 x 2 + 3 - 2
C. 30 x (3 - 2 - 3 ) + 2
D. 30 + 3 x (2 + 3) + 2
A. 30 - (3 x 2) -3 + 2
Which of the following illustrates the property of reciprocals?
A. Multiplying 23/16 by 16/23 gives the same product as multiplying 16 by 23.
B. The numbers 65, 70, and 12 can be added together in any order, and the sum will always be the
same.
C. The sum of 102 and 9 is the same as the sum of 9 and 102.
D. The product of 31 and 1/31 equals 1.
D. The product of 31 and 1/31 equals 1.v
A school wants to create a vegetable garden for students as an applied science project. The school
principal wants you to go see a supplier to order a fence for it. The garden is 30 feet wide and 44 feet
long; however, there will be a gate which is 4 feet wide. How many feet of fencing are needed?
A. 1320 feet
B. 148 feet
C. 144 feet
D. 132 feet
(C) This problem is asking for perimeter. The formula for perimeter of a rectangle is 2L + 2W or 2(44) +
2(30) = 148; however, the size of the gate (4 feet) must be subtracted 148-4 = 144.
