MoCA Math Sample Questions 2025 Cognitive Assessment Numerical Practice and Study
Guide
A student has a bag containing 96 hard candies and wants to give an equal number of them to
each of 6 friends. Which mathematical operations would be most useful for the student to use
when determining how many candies each friend should receive? - correct answer ✔✔Division
Which number would appear next in the patterned sequence below?
[0, 1, 5, 14, 30, 55, . . . ] - correct answer ✔✔91. In the pattern given, the differences between
the successive terms in the pattern are 1, 4, 9, 16, and 25, which are the squares of the first 5
integers. To determine the next term, the square of 6, or 36, must be added to 55 to get 91.
Two rectangles, A and B, are similar. Rectangle A has a length of 100 centimeters and a width of
50 centimeters. If the area of rectangle B is 200 square centimeters, what is its perimeter? -
correct answer ✔✔60 centimeters. If rectangles A and B are similar, the length and width of
rectangle B must be proportional to the length and width of rectangle A. In addition, the
product of the length and width of rectangle B must equal 200 square centimeters. If the length
of rectangle B is 20 centimeters and its width is 10 centimeters, both of these conditions are
met. Therefore, the equation representing the perimeter of rectangle B is 20 + 10 + 20 + 10 =
60.
Guide
A student has a bag containing 96 hard candies and wants to give an equal number of them to
each of 6 friends. Which mathematical operations would be most useful for the student to use
when determining how many candies each friend should receive? - correct answer ✔✔Division
Which number would appear next in the patterned sequence below?
[0, 1, 5, 14, 30, 55, . . . ] - correct answer ✔✔91. In the pattern given, the differences between
the successive terms in the pattern are 1, 4, 9, 16, and 25, which are the squares of the first 5
integers. To determine the next term, the square of 6, or 36, must be added to 55 to get 91.
Two rectangles, A and B, are similar. Rectangle A has a length of 100 centimeters and a width of
50 centimeters. If the area of rectangle B is 200 square centimeters, what is its perimeter? -
correct answer ✔✔60 centimeters. If rectangles A and B are similar, the length and width of
rectangle B must be proportional to the length and width of rectangle A. In addition, the
product of the length and width of rectangle B must equal 200 square centimeters. If the length
of rectangle B is 20 centimeters and its width is 10 centimeters, both of these conditions are
met. Therefore, the equation representing the perimeter of rectangle B is 20 + 10 + 20 + 10 =
60.
