# New Jersey HSPA Practice

The HSPA exam is used to determine student achievement in reading, writing, and mathematics as specified in the New Jersey Core Curriculum Content Standards. The test is administered over a course of three days simultaneously in all public high schools of the state of New Jersey. The Office of State Assessments (OSA) of the New Jersey Department of Education administers the NJ HSPA test together with the New Jersey Assessment of Skills and Knlowledge (NJ ASK) that is given to students in grades 3-8.

The mathematics section of the 2011 NJ HSPA exam covered the following areas:
-Number Sense, Concepts, and Applications
-Spatial Sense and Geometry
-Data Analysis, Probability, Statistics, and Discrete Mathematics
-Patterns, Functions, and Algebra
The tests consists of 30 multiple choice and 6 open-ended questions.

#### Examples of NJ HSPA mathematics multiple choice questions

Question 1: The sum of three consecutive integers is 99. What is the lowest of the three integers?

Question 2: Question 3: If the sum of two numbers is 47 and their difference is 3, what is the lower of the two numbers?

Question 3: The Venn diagram below shows how many students of a class play basketball, hockey, football or any combination of these sports.

Based on the Venn diagram, what is the number of students that play hockey?

Question 4: What is the area of the parallelogram shown on the coordinate plane below?

Question 5: The price of shirts in a store is \$20 and the price of ties in the same store is \$15. A customer buys 2 shirts and 3 ties during a sale when the price of shirts is discounted 15% and the price of ties is discounted 10%. How much did the customer save due to the sale?

Question 6: What is the slope of a line perpendicular to the line described by the equation 4y - 6x = 2?

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