QUESTIONS WITH DETAILED
VERIFIED ANSWERS AND RATIONALES
/A+ GRADE ASSURED
MATHEMATICS
Question 1:
What is the appropriate unit of measure to express the weight of a spoon?
● Option A: Gram
● Option B: Liter
● Option C: Kilogram
● Option D: Milliliter
● Correct Answer: A
●
, Rationale: The correct unit of measure to express the weight of a
spoon is the gram. Gram is a metric unit used for measuring mass
or weight, making it suitable for small objects like spoons. Liters
and milliliters are units used for measuring volume, while a
kilogram is a larger unit of weight, not typically used for
measuring the weight of small objects such as spoons.
Question 2:
A child has a bottle full of pennies, nickels, dimes, and quarters. There
are twice as many quarters as pennies, four times as many nickels as
pennies, and five times as many dimes as nickels. How many more
dimes does the child have than quarters?
● Option A: 10 times as many
● Option B: 4 times as many
● Option C: 5 times as many
● Option D: 29 times as many
● Correct Answer: D
●
, Rationale: Let's assign a value to the number of pennies. If we say
there are 1 penny, then there are 2 quarters (twice as many as
pennies), 4 nickels (four times as many as pennies), and 20 dimes
(five times as many as nickels). The number of dimes is 20, and
the number of quarters is
2. The difference between the number of dimes and quarters is 20 - 2
= 18.
Therefore, the child has 18 more dimes than quarters, which is
18 times as many, not 29 times as many as stated in the original
answer choice.
Question 3:
The length of a rectangular room is 5 feet greater than its width. Which
of the following equations represents the area (A) of the room?
, ● Option A: A = x(x + 5)
● Option B: A = 2x + 2(x + 5)
● Option C: A = x(x + 5)
● Option D: A = 5x
● Correct Answer: C
●
Rationale: The area of a rectangle is calculated by multiplying its
length by its width. In this scenario, the length is x + 5, and the
width is x. Therefore, the correct equation to determine the area
(A) is A = x(x + 5). This equation correctly represents the area of
the room by multiplying the width by the length.
Question 4:
A bag contains five green balls, four red balls, and three yellow balls. If
one ball is randomly selected from the bag, what is the probability that
the ball is red?
● Option A: 4/12