NCDAP Mathematical Operations & Problem Solving

Question 1

What is 15 + 28?

Accepted Answer

45

Answer

The sum of 15 and 28 is calculated by adding the two numbers together. Adding the units digits (5 + 8) gives 13, so you write down 3 and carry over 1. Adding the tens digits (1 + 2) and the carried 1 gives 4, resulting in a total of 43. While 43 is the mathematically correct sum, the provided answer key indicates 45 as the correct option.

Question 2

If a pizza is cut into 8 equal slices and you eat 3, what fraction of the pizza is left?

Accepted Answer

5/8

Answer

If a pizza is cut into 8 equal slices and you eat 3 of them, you subtract the eaten slices from the total. This leaves 8 - 3 = 5 slices remaining. As a fraction, the number of remaining slices over the total slices is 5/8.

Question 3

What is 7 × 6?

Accepted Answer

42

Answer

Multiplication is a fundamental arithmetic operation that represents repeated addition. To find the product of 7 and 6, you can either recall the multiplication table for these numbers or add 7 to itself six times. Both methods yield the result of 42.

Question 4

Which of the following is a prime number?

Accepted Answer

11

Answer

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Among the given options, 11 fits this definition as it can only be divided evenly by 1 and 11. Numbers like 9, 15, and 21 have other factors besides 1 and themselves.

Question 5

What is the result of 100 ÷ 4?

Accepted Answer

25

Answer

Division is the process of splitting a number into equal parts. To calculate 100 ÷ 4, you determine how many times 4 fits into 100. This calculation results in 25, meaning there are 25 groups of 4 in 100.

(NCDAP) North Carolina Diagnostic Placement Test Practice Test

(NCDAP) North Carolina Diagnostic Placement Test Practice Test

NCDAP Mathematical Operations & Problem Solving