Name __________________________________ Date ____________ Student # ______
Study Guide for Math Week 27 Benchmark (Part 1)
(These are examples of the types of problems which will be on this assessment.)
1. Measure the length and width of the rectangle to the nearest centimeter. How much
longer is the length than the width in centimeters?
3 centimeters
2. Look at the figure shown below. Name the two line segments which appear to be
parallel?
D
E
Line CB and Line GH
C
F
G
B
A
H
3. The table below shows the relationship between pints and quarts.
How many quarts are equal to 20 cups?
10 quarts
Number of Pints
Number of Quarts
2
1
4
2
8
4
10
5
16
8
20
?
4. Zack has 655 plastic cups to give away at the school picnic. He sorted the cups into
5 equal groups. He plans to give away 3 groups of cups during the first hour of the
picnic. How many cups will he use? Write an expression to show how you will solve
this problem?
393, because 655 ÷ 5 = 131 and 131 X 3 = 393
1
5. Write the decimal shown in the shaded model below representing 1
4
100
.
1.04
6. Melanie collected data on the number of visitors at Meyer Park for 3 weeks. The data
is shown below.
27, 11, 14, 26, 15, 18, 25, 10, 34, 22, 19, 29, 15, 24, 38, 19, 20, 20, 23, 22, 26
Make a stem and leaf plot to represent the data.
Meyer Park Visitors
1
01455899
2
00223456679
3
48
7. What is the area of the rectangle below?
32 inches
15 inches
480 square inches
8. The clock below shows the time the dismissal bell rings at Brill. Amy stayed for 45
minutes after school to attend tutoring. What time did Amy leave school to go home?
4:00 PM
2
9. A graphic organizer describes a particular set of polygons. Complete the graphic
organizer below to determine the final shape being described.
A polygon has 3 sides.
It has 2 angles that
measure less than 90˚.
It has 2 angles that
measure less than 90˚.
It has 3 angles that
measure less than 90˚.
It has 1 angle that
measure greater than
90˚.
It has 1 right angle.
It is an acute
triangle.
It is a right
triangle.
It is an obtuse
triangle.
10. Arya is 4 years older than her sister, Carol. Complete the table below to best
represent the pattern of their ages.
Carol’s Age
(years)
Arya’s Age
(years)
1
5
2
6
3
7
4
8
11. The number 666.66 is represented in the place-value chart shown below. Which
statements about place value are true and which are not true. (Write True or Not
True on the line following each statement.)
Hundreds
6
Tens
6
Ones
6
Tenths
6
Hundredths
6
A. The 6 in the tenths place has a value of 10 times greater than the 6 in the
hundredths place. True
B. The 6 in the tenths place has a value of one-tenth of the 6 in the hundredths
place. NOT True
C. The 6 in the tens place has a value 10 times greater than the 6 in the ones place.
True
D. The 6 in the tens place has a value one-tenth of the 6 in the hundreds place.
True
12. Leland is making a bottle cap wall hanging. Each row of bottle caps has 25 caps.
The wall hanging has 42 rows. How many bottle caps does Leland need to make the
wall hanging?
1,050 bottle caps
3
13. The table below shows the length of two chains.
Chain
Length
(inches)
Silver
18.25
Gold
14.5
How much longer is the silver chain than the gold
chain?
3.75 inches longer
14. Trey drew some angles below that has the following characteristics. Identify the
angles Trey drew.
C It has a measure
greater than 90˚. It is
an obtuse angle.
A
A It has a measure
less than 93˚. It is a
right angle.
81˚
B
90˚
B It has an angle
greater than 78˚. It is
an acute angle.
C
98˚
15. Write the following numbers in the expanded notation.
43.75
(4 X 10) + (3 X 1) + (7 X 0.1) + (5 X 0.01)
105.3
(1 X 100) + (5 X 1) + (3 X 0.1)
71.02
(7 X 10) + (1 X 1) + (2 X 0.01)
16. Randy made a list of equivalent fractions. He realized when he checked his work
that he made one mistake. Find the mistake Randy made.
a.
b.
17.
𝟔
𝟏
c.
= 𝟏𝟐
𝟒
d.
=𝟐
𝟏𝟐
𝟑
𝟗
𝟏
𝟑
=𝟓
𝟑
𝟑
𝟔
= 𝟏𝟎
𝟓
Complete the area models to best represent the following multiplication problems.
14 X 16
26 X 23
12 X 52
10
4
20
10
100
40
20
400
6
60
24
3
60
6
10
2
120
50
500
100
18
2
20
4
4