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NJ 8th Grade Math Assessment

1. The nutrition label on a box of cookies states that there are 14 servings in the box and that one serving contains 6.5 grams of fat. Joe ate about one-half of the cookies in the box. Which is the best estimate of the number of grams of fat he ate?
2. The police are looking for a helicopter that took off from an airfield in central New Jersey. They know it only had enough fuel to travel 50 miles. What is the shape of the region they should search?
3. The Atco Company randomly selected 1,000 bills being sent out by its billing department and found errors on 3 bills. Based on this information, how many of the 24,000 bills sent out each month can be expected to be incorrect?
4. Which of the following equations gives the rule for finding the numbers in the column on the right?
5. Pentomino K on your Mathematics Reference Sheet is the same size and shape as the figures below.You may wish to use Pentomino K as an aid in answering the following question.

Figure K′ is the result of a sequence of transformations of Figure K. Which of the following does NOT describe a correct possible sequence of transformations?
6. The salaries of the employees at Dean’s Print Shop are $24,000, $37,000, $12,000, $17,000, $26,000, $40,000, and $19,000.

What is the median salary of the employees?
7. The perimeter of this figure is 40 meters.

What is the measure of side HG?
8. A computer manufacturer planning to produce many computers can choose to use Intel computer chips at $900 each or Motorola computer chips at $374 each. How much money would that manufacturer save on an order of 20,000 central-processor chips by choosing the Motorola chip rather than the Intel chip?
9.

For a convex polygon with a small number of sides, like a rectangle or a hexagon, it’s easy to draw the figure and count its diagonals. Suppose the convex polygon has many sides. It is possible to find how many diagonals it has without drawing the figure and counting its diagonals. The following formula gives that information:

Number of Diagonals = \dfrac{n^2 - 3n}{2}

where n = number of sides.

Using the formula above, find the number of diagonals for a convex polygon with 107 sides. Which of the following is the number of diagonals for that polygon?

10. These figures form a pattern.

Which of the figures BEST continues the pattern?
11. Allison was born on her mother’s 28th birthday. Which expression can be used to find Allison’s mother’s age when Allison is n years old?
12. Steve’s parents told him he could order $250 worth of school clothes from a certain catalog. So far, his order includes 3 pairs of slacks at $21.99 each and a jacket for $125.99. What is the greatest number of shirts that he can order if they cost $14.99 each?
13. Which of the following numbers is greater than 0.6 and less than 4/5?
14. The floor of an entryway and corridor in an office building is to be covered with vinyl flooring. Find the number of square yards of flooring that will be needed.
15. Point P has the coordinates (–1, 2). What are the coordinates of its image point if it is translated 4 units to the left and then reflected in the x -axis?
16. City bus #14 arrives at Grand Street every 10 minutes, starting at 6:00 a.m. The dispatcher is setting the schedule for an additional bus that will arrive at Grand Street every 20 minutes. The dispatcher does not want the two buses to arrive at Grand Street at the same time. Which of these starting times will be best for the additional bus?
17.

Figure ABCDE is similar to figure FGHIJ.

What is the measure of side GH?

18. A number cube has sides numbered 1 to 6. If the cube is rolled once, what is the probability that the number rolled is a factor of 6?
19. A regular human hand contains 27 different bones. There are 206 bones altogether in the whole human body. Approximately what percent of the bones in a whole human body are in one hand?
20. Janet works 38 hours per week and earns $11.82 per hour. Which is the best estimate of her gross pay per year?
21. Which list shows elevations above and below sea level in order from the lowest elevation to the highest?
22. The chance of rain Saturday is 30%. The chance of rain Sunday is 60%. What is the probability that it will rain both days?
23. A bacterial infection in a colony of mice began slowly and then increased exponentially. After a few weeks, the rate of infection slowed down. Which graph best shows the relationship between time and the number of infected mice?
24.

Marcia is making trapezoid trains with her trapezoid blocks.

Three sides of a trapezoid block measure 1 unit each. The fourth side measures 2 units.

What is the perimeter of a trapezoid train made up of 10 trapezoid blocks?

25.

The winning distances for the Olympic shot put event for the past 100 years are given below:

Which statement best summarizes the data?

26.

At 9:00 a.m. on the super-sale day at Clothing City, Amy saw the coat she wants priced at $65. Amy has only $46. Every hour the price on coats will be reduced 10% from the previous hour’s price.

At what time will Amy be able to buy the coat for $46 or less, provided the coat is still available?

27.

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

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

What happens to the Selling price (column D) and the Amt. received (column F) when the unit cost is (column C) doubled.

28. Which of these numbers is the greatest prime number less than 70?
29. The first four pentagonal numbers are indicated below. The numbers are calculated by counting the dots. Based upon the pattern indicated, what is the sixth pentagonal number?
30. In 1991, an American, Ann Trason, set a world record by running 100 km in 7 hours 50 minutes 9 seconds.

Which is the best estimate of her average speed?
31. Erin calculated the mean of 5 numbers to be 38. Then she found that she had made an error and had written 40 for one of the numbers when she should have written 30. What is the mean of the correct 5 numbers?
32. A computer network is to be set up so that (1) the supervisor can communicate with every terminal, and (2) each worker can communicate with the supervisor and exactly two co-workers.

Which network meets these requirements?
33.

These two boxes have the same volume.

Box A
Height: 2 in., Width: 3 in., Length: 6 in.

Box B
Height: 3 in., Width: 4 in., Length: ?

What is the length of Box B ?

34. A wooden box with 8 video cassettes inside weighs 4.2 kilograms. The box weighs 0.6 kg when it is empty. Using w to represent the weight of one video cassette, which of the following describes this situation?
35. The diameter of a circular opening is 2 1/4 inches.

Which of the following is the diameter of the largest pipe that will fit in that opening?
36. The figure below is a rectangular prism. Which of the following edges is perpendicular to face BFGC?
37. It takes 20 minutes per pound to cook a turkey. Mona’s turkey weighs 7\dfrac{1}{2} pounds. Peter’s turkey weighs 9 pounds. How much longer will it take to cook Peter’s turkey?
38. For the school festival, Polly wants to make a snack mixture with 2 parts of dried fruit to every 3 parts of assorted nuts. How much dried fruit will she need to make 30 pounds of the mixture?
39.

This table shows the number of employees at StarDex Corporation by department.

Every employee at StarDex put his or her name on an index card. At the company picnic one card will be drawn at random. The person whose name is drawn will win the grand prize.

Which of the following statements is true?

40.

The Packing Company wants to lower the cost of its boxes by reducing the surface area while keeping the volume the same.

One of the boxes is shown below.

Find the dimensions of a box that has the same volume but less surface area.