### MCAS MATH 10 OPEN-RESPONSE

### JFY SAMPLE COURSE ITEM

**2014 Spring Release, Mathematics – Grade 10**

**Question 41: Open-Response**

*Reporting Category: Geometry*

*Standard: 10.G.5 – Solve simple triangle problems using the triangle angle sum property and/or the Pythagorean theorem.*

*Standard: CCSS.Math.Content.HSG-SRT.C.8 – Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.**

A ladder is leaning against the side of an office building, as shown in the diagram below.

**The top of the ladder reaches a point on the building that is 16 feet above the ground. The bottom of the ladder is 4 feet from the base of the building.**

a. Write an equation that could be used to find x, the length in feet of the ladder.

b. Use the equation you wrote in part (a) to find x, the length, to the nearest tenth of a foot, of the ladder. Show or explain how you got your answer.

**A second ladder that is 32 feet in length will be leaned against the same building. The bottom of the second ladder will be placed 7 feet from the base of the building.**

c. What is the height, to the nearest tenth of a foot, of the point the top of the second ladder will reach on the building? Show or explain how you got your answer.

### MCAS MATH 10 SHORT ANSWER

### JFY SAMPLE COURSE ITEM

**2014 Spring Release, Mathematics – Grade 10**

**Question 16: Short-Answer Reporting Category: Statistics and Probability**

*Standard: 10.D.1 – Select, create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-and-leaf plots, box-and-whisker plots, circle graph, line graph, and line plot) for a set of data and use appropriate statistics (e.g., mean, median, range, and mode) to communicate information about the data. Use these notions to compare different sets of data.*

*Standard: CCSS.Math.Content.6.SP.B.4 – Display numerical data in plots on a number line, including dot plots, histograms, and box plots. *

The circle graph below shows the percentages of the types of coins in a collection.

**There are 700 coins in the collection. What is the total number of Standing Liberty quarters in the collection?**

### MCAS MATH 10 MULTIPLE CHOICE

### JFY SAMPLE COURSE ITEM

**2013 Spring Release, Mathematics – Grade 10**

**Question 24: Multiple-Choice Reporting Category: Statistics and Probability**

*Standard: 10.D.1 – Select, create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-and-leaf plots, box-and-whisker plots, circle graph, line graph, and line plot) for a set of data and use appropriate statistics (e.g., mean,median, range, and mode) to communicate information about the data. Use these notions to compare different sets of data.*

*Standard: CCSS.Math.Content.6.SP.B.5 – Summarize numerical data sets in relation to their context, such as by. *

A teacher recorded the height of each student in a class. The bar graph below shows the number of students at each height.

**Which statement about the data in the bar graph is true?**

A. The mean is greater than the mode.

B. The median is greater than the mean.

C. The median is the middle number on the vertical axis.

D. The mode is the largest number on the horizontal axis.

### MCAS MATH 10 MULTIPLE CHOICE

### JFY SAMPLE COURSE ITEM

**2013 Spring Release, Mathematics – Grade 10**

**Question 22: Multiple-Choice**

*Reporting Category: Geometry*

*Standard: 10.M.1 – Calculate perimeter, circumference, and area of common geometric figures such as parallelograms, trapezoids, circles, and triangles. *

*Standard: CCSS.Math.Content.7.G.B.6 – Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.*

The diagram below shows a trapezoid and its dimensions.

**What is the area of the trapezoid?**

A. 95.46 in.

B. 57.72 in.

C. 47.73 in.

D. 34.70 in.

### MCAS MATH 10 MULTIPLE CHOICE

### JFY SAMPLE COURSE ITEM

**2012 Spring Release, Mathematics – Grade 10**

**Question 8: Multiple-Choice**

*Reporting Category: Patterns, Relations, and Algebra*

*Standard: 10.P.8 – Solve everyday problems that can be modeled using systems of linear equations or inequalities. Apply algebraic and graphical methods to the solution. Use technology when appropriate. Include mixture, rate, and work problems. (AI.P.12)*

**What is the solution of the system of equations below? **

B.

C.

D.

### MCAS MATH 10 SHORT ANSWER

### JFY SAMPLE COURSE ITEM

**2012 Spring Release, Mathematics – Grade 10**

**Question 15: Short-Answer**

*Reporting Category: Patterns, Relations, and Algebra*

*Standard: 10.P.2 – Demonstrate an understanding of the relationship between various representations of a line. Determine a line’s slope and x- and y-intercepts from its graph or from a linear equation that represents the line. Find a linear equation describing a line from a graph or a geometric description of the line, e.g., by using the “point-slope” or “slope y-intercept” formulas. Explain the significance of a positive, negative, zero, or undefined slope. (AI.P.5)*

**Line g is shown on the graph below.**

**What is the slope of line g?**