State of New Jersey Department of Education

 

Sample Test Items

| NJPEP's HSPA math tutorial | NJPEP's GEPA and HSPA Helpful Hints | NJPEP's assessment | NJDOE's Assessment and Evaluation (choose GEPA and/or HSPA) |

Standards matrix | Standard 4.3 for grade 8 | Standards-based mathematics activities by grade-band and separated into strands |
| Transition of strands from 8th to 9th grade for standard 4.3 |

Try test items for practice. Use the math open-ended rubric for grading open-ended questions (use the holistic rubric for summative testing and analytic rubrics for formative testing of content areas).

Sample Multiple Choice Item

Sam Smart made a deal with his parents. He agreed to do chores for one hour every day, if they would pay him in the following way. He wanted to receive 1 cent on the first day, 2 cents on the second day, 4 cents on the third day, 8 cents on the fourth day, and so on. Which of the following expressions represents how much he would receive (in cents) on the twentieth day?

a. 20

b. 221

c. 220

d. 219

Sample Short Constructed Response Item

In a rectangular array, 144 seats can be arranged with 6 rows and 24 seats in each row. Give two other rectangular arrays that are possible for 144 seats.

Possible answers include

12 x 12

18 x 8

72 x 2

48 x 3

Sample Open-ended Item

The sequence 5, 25, 125, 625, . . . continues indefinitely. Analyze it in order to answer the following questions.

What is the 7th term of the sequence?
Describe the pattern you see in the sequence.
What algebraic expression represents the nth term?

Items for Macro B
Sample Multiple Choice Item

Which of the following problems can be solved by using the equation X + 2 = 28 ?

a. A math class started with 28 students. Today, two more students enrolled in the class. How many students does this class now have?

b. Erin added two more books to her collection of reference books. If she now has 28 books in this collection, how many books did she have in it before adding two more?

c. Jim had $28.00 in his bank account. A week later, he deposited $2.00 in this account. Assuming Jim made no withdrawals from his account, how much money did Jim have in his account after making the deposit?

d. Ann biked 28 miles at two miles per hour. How long did Ann bike?

Sample Multiple Choice Item

Which of the following problems can be solved by using the equation X + 2 = 28 ?

a. A math class started with 28 students. Today, two more students enrolled in the class. How many students does this class now have?

b. Erin added two more books to her collection of reference books. If she now has 28 books in this collection, how many books did she have in it before adding two more?

c. Jim had $28.00 in his bank account. A week later, he deposited $2.00 in this account. Assuming Jim made no withdrawals from his account, how much money did Jim have in his account after making the deposit?

d. Ann biked 28 miles at two miles per hour. How long did Ann bike?

Sample Short Constructed Response Item

The amount A that principal P will be worth after t years at interest rate r, compounded annually, is given by the formula:

A = P(1+r)t

Suppose $4,000 principal is invested at 6% interest compounded annually for five years. How much money would the investment yield after 5 years?

The amount A that principal P will be worth after t years at interest rate r, compounded annually, is given by the formula:

A = P(1+r)t

Suppose $4,000 principal is invested at 6% interest compounded annually for five years. How much money would the investment yield after 5 years?

Sample Open-ended Item

27. This computer spreadsheet gives information about the pens Ms. Nunez sells in her store.

A
B
C
D
E
F
Type of Pen No. Bought Unit Cost Selling Price No. Sold Amt. received
Economy 500 $0.12 $0.36 270 $97.20
Better 350 $0.28 $0.84 191 $160.44
Best 175 $2.25 $6.75 15 $101.25

When Ms. Nunez changes the numbers in columns C and E, the numbers in columns D and F change automatically.

Using words or formulas, explain how the Selling price (column D) is calculated using the Unit cost(column C).


Using words or formulas, explain how the Amt. received (column F) is calculated from the numbers in the other columns.

Select one type of pen from column A in the spreadsheet above. Write new numbers for that row to show what would happen to the Selling price (column D) and the Amt. received (column F) if the Unit cost (column C) is twice as much as the one shown.


Explain in words what happened to the Selling price (column D) and the Amt. received (column F) when the unit cost was doubled.