Math Inventory Grade 5

The purpose of this math inventory is to return a test score that directly correlates to the basic compentencies of the 5th Grade Math Standard.

The following scale indicates the level of competency for the student tested:

0 - 13 Remedial level.
14 - 19 Instructional level.
20 - 27 Likely to exceed the 5th Grade Standard.

Take as much time as needed to complete the test



1. Use the list below to find the smallest whole number that is a multiple of 3, 4, 5 and 6.


12
18
42
60

2. Which of the following numbers is a prime number?

19
39
63
87

3. This graph shows the trip that Matt and his family took from his home in Central Oregon to visit his aunt on the west side of Portland.



They stopped to have lunch at a restaurant. What time did this happen?

Right at 10:00 a.m.
Around 11:30 a.m.
Around 1:45 p.m.
There's no way to know from the information given.

4. The angle formed by one corner of this page is

45 degrees
90 degrees
120 degrees
160 degrees

5. What number is missing in this sequence?

2 - 4 - 8 - ___ - 32

12
16
20
24

6. Here is graph showing how the number of breakdowns in electronic equipment relates to the equipment's age. Based on this graph, which one of these is true?


The older the equipment gets, the more breakdowns it has.
New equipment breaks down about 3 times as much as old equipment.
Equipment is more reliable at middle age than when it is new or old.
Equipment that doesn't break down when it is new will probably never break down.

7. Which of these could be the bottom of a cylinder?




8. Amanda needs to measure the height of a mirror but she forgot her ruler. She uses her pencil (which she later measures to be 7 1/4 inches). The height of the mirror was about 11 pencil lengths. What is the height of the mirror in feet?

about 5 feet
about 5 1/2 feet
about 6 feet
about 6 1/2 feet

9. This bar graph shows the relationship between grade level and being in after-school activities. Which statement BEST describes the relationship?


Third graders are in more after-school activities than fifth graders.
Third graders are not in after-school sports clubs.
Fifth graders are in more after-school activities than third graders.
Fifth graders and third graders are in activities at about the same level.

10. A jar contains 2 black and 3 white marbles. Al picks 1 marble without looking. What is the probability he picks a black marble?

1/5
2/5
2/3
5

11. Look at this large cube:


As you can see, it's made up of 3 layers of small cubes. Each layer has 4 rows with 2 cubes in each row. How many small cubes are there?

9
18
24
26

12. The weight of a fireplace log would be BEST measured in

pounds
tons
feet
ounces

13. You are building a staircase like the one shown below that's 4 steps high. How many cubes would it take to build a staircase that is 12 steps high?


24
48
78
120

14. The soccer team scored 3 goals in its first game, 7 in the next game and 2 in the third game. What was the average number of goals the team scored?

4
5
7
12

15. Which of the following is generally quite close to parallel?

Water coming out of a water fountain
A street crossing a railroad track
A floor lamp and the floor
The northbound and southbound lanes of a highway

16. Which of these is a fraction that is between 1/2 and 1?

1/5
1/4
1/3
2/3

17. Look at these clocks. About how much time has passed from time 1 to time 2?


2 hours, 15 minutes
3 hours, 30 minutes
5 hours, 15 minutes
7 hours, 30 minutes

18. Look at this problem: 95 divided by 31

The answer is closest to which of the following?

3
4
20
30

19. This drawing shows a slide of a triangle.


Which side in triangle 2 is congruent to YZ?

JK
XY
HK
HJ

20. Nita's grades on 5 homework papers were 8, 9, 7, 10 and 6. Her teacher's grade chart is shown below:


What was Nita's grade after these 5 homework papers?

A
B
C
D

21. If a city has had a decrease in pollution over a period of time, then which graph would best show this?


A
B
C
D

22. The picture below shows the face of a scale used for weighing backpacks. What is the approximate weight shown on the scale?


30 pounds
30.6 pounds
36 pounds
40 pounds

23. This figure is


a parallelogram.
a trapezoid.
an equilateral triangle.
a right triangle.

24. Some basketball players have big feet. Which would most likely be the length of a big basketball player's feet, in inches, from toe to heel?

6 in.
16 in.
36 in.
60 in.

25. When Pat planted the tree in her front yard, it was 2 feet, 6 inches tall. The table below shows how much the tree has grown since it was planted.


How tall was Pat's tree at the end of 5 years?

33 feet
8 feet
5 feet 6 inches
5.36 feet

26. Which is the same as the product of 62 x 7?

21 x 21
89 x 6
81 x 5
217 x 2

27. Which pair would round to the same whole number?

3.4 - 3.6
2.9 - 3.3
3.0 - 3.5
2.4 - 3.2


Your score is out of 27