Study Guide
Elementary Education Multi-Content: Mathematics
Sample Questions
Competency 0021
Understand numbers and operations.
1. A student has a bag containing 96 hard candies and wants to give an equal number of them to each of 6 friends. Which of the following mathematical operations would be most useful for the student to use when determining how many candies each friend should receive?
- addition
- division
- subtraction
- multiplication
- Enter to expand or collapse answer.Answer expanded
- Correct Response: B. The operation of division can be defined as partitioning a certain number of items into a specified number of groups in order to determine how many items each group contains.
Competency 0022
Understand algebraic relationships.
2. Which of the following numbers would appear next in the patterned sequence below?
[0, 1, 5, 14, 30, 55, . . . ]
- 64
- 81
- 91
- 121
- Enter to expand or collapse answer.Answer expanded
- Correct Response: C. 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.
Competency 0023
Understand measurement, geometry, and data.
3. 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?
- 40 centimeters
- 60 centimeters
- 80 centimeters
- 120 centimeters
- Enter to expand or collapse answer.Answer expanded
- Correct Response: B. 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.