Student Diagnostic
Assessment
Mathematics
2015
Diagnostic and Placement
Grade 6
This test contains 30 multiple-choice questions. Work each problem. Select
the best answer.
1
3
What decimal is equivalent to ?
4
A 0.25
2
3
B 0.34
Find the product of 6.1 and 4.9.
A 7.93
B 11.0
C 0.75
D 1.33
C 29.89
D 30.79
Look at the table below. Which of the following has NOT been rounded
correctly to the nearest hundred?
Population in 2005
City
Exact Population
Austin
Chicago
Seattle
St. Louis
690,252
3,844,829
557,087
912,332
Estimated Population
690,300
3,844,800
557,100
912,330
Source: U.S. Census Bureau
A Chicago
B Austin
C Seattle
D St. Louis
Sixth Grade Diagnostic and Placement Tests
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1
4
The number 13.76 is read as which of the following:
A thirteen and seventy-six tenths
B thirteen and seventy-six hundredths
C thirteen and seventy-six thousandths
D thirteen thousand and seventy-six
5
Raven is asked to check the answer to the multiplication problem below.
Which number sentence could she use to check her answer?
23 × 452 = 10,396
6
7
A 23 + 452 = 475
C 10,396 x 23 = 452
B 452 − 23 = 429
D 10,396 ÷ 23 = 452
How can you write 10,000,000 using exponents?
A 104
B 105
C 106
3
D 107
1
Inali ate of a pizza. His friend ate of the pizza. How much did they eat all
8
4
together.
A
1
3
B
1
2
C
5
8
Sixth Grade Diagnostic and Placement Tests
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D
3
4
2
8
Josh, Avi, and Charlotte each sold slices of pie at the bake sale. The figures
below show how they each cut their pie. The shaded parts represent the
pieces they sold. What can you conclude from the data?
Josh
Avi
Charlotte
5
6
3
10
8
5
1
A Josh and Avi sold 1 pies.
4
1
B Avi and Charlotte sold 1 pies.
2
C Avi and Charlotte each sold the same amount of pie.
D Charlotte and Josh sold 1
9
10
pies.
Sasha’s mom bought a container with 150 bracelet beads for Sasha’s
birthday party. There were 8 girls at the birthday party. If the girls share
the beads as close to equal as possible, between what two amounts of
beads should each girl receive?
A
B
C
D
10
3
between 15 and 16
between 16 and 17
between 17 and 18
between 18 and 19
4
Which of the following expressions is equal to × 7?
5
A
B
C
D
4÷5+7
4×7÷5
4×7×5
5÷4×7
Sixth Grade Diagnostic and Placement Tests
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3
11
Adam spins a spinner 12 times. The results are shown in the bar graph
below. Which fraction of the spins were red or blue?
A
12
B
3
3
C
4
7
D
12
5
6
1
A salsa recipe calls for cup of onions. William wants to multiply the recipe
3
by 4. How many cups of onion will he need?
A
13
2
3
4
cup
B 1 cup
1
C 1 cups
3
2
D 1 cups
3
The menu below shows the prices at Lunchtime Café. Lucita orders a turkey
sandwich and two fruit cups. What expression should she use to determine
the cost of her meal?
Lunchtime Cafe
Item
Cost
Turkey Sandwich
Ham Sandwich
Salad
Fruit Cup
Juice
$4.50
$4.35
$2.10
$2.50
$1.90
A 4.50 + (2 × 2.50)
C 2.50 + (2 × 4.50)
B 4.50 + 2.50
D 2.50 × 4.50
Sixth Grade Diagnostic and Placement Tests
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4
14
Each student in fifth grade donates 4 cans of food to the food bank. There
are 285 fifth-grade students. Which of the following shows the number of
cans donated and the correct justification for the number?
A
B
C
D
15
16
71 because 285 divided by 4 is approximately 71
289 because 285 plus 4 is 289
1,120 because 280 times 4 is 1,120
1,140 because 285 times 4 is 1,140
Mr. Izquierdo is joining a gym. There is a $150 registration fee and a
monthly fee of $28. Which expression shows the total cost for Mr.
Izquierdo to join the gym for a year?
A ($150 + $28) × 12
C ($150 × 12) + $28
B $150 × ($28 + 12)
D $150 + ($28 × 12)
Each week, Melanie saves the same amount of money. After the third
week, she has $30. After the fifth week, she has $50. After the seventh
week, she has $70. Which operation could Melanie use to determine the
amount she will have saved by the tenth week?
A
B
C
D
Add 10 to the number of weeks.
Add 20 to the numbers of weeks.
Multiply 10 times the number of weeks.
Multiply 20 times the number of weeks.
Sixth Grade Diagnostic and Placement Tests
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
5
17
Carmen created the following table of multiplication facts for 100. If the
pattern continues, what is 100 × 12?
#
1
2
3
4
5
A 120
18
19
× 100
100
200
300
400
500
B 210
C 1,200
D 2,100
Bennett created the table below. Which operation did he perform on the
numbers in the left column to find the numbers in the right column?
x
y
1
2
3
4
5
6
9
10
11
12
13
14
A Add 8.
C Multiply by 8.
B Add 9.
D Multiply by 9.
Martin notices that certain pickup trucks have 6 wheels. Which table could
he use to determine the number of wheels on five of these pickup trucks?
A
Wheels
B
Wheels
C
Wheels
D
Wheels
Sixth Grade Diagnostic and Placement Tests
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
6
20
21
22
23
Tamera is 4 years younger than her brother. Which expression could you
use to determine Tamera’s age, given her brother’s age b?
A b+4
C b×4
B b−4
D b÷4
Use a ruler to measure the length of the rectangle below to the nearest
centimeter. Convert this length to meters.
A 8m
C 0.08 m
B 0.8 m
D 0.008 m
There are 12 inches in 1 foot, and there are 3 feet in 1 yard. How many
inches are there in 1 yard?
A 12
C 36
B 24
D 48
Megan wants to estimate the volume of the box shown below. Which is the
best estimate? (𝑉 = 𝑙 × 𝑤 × ℎ)
5.2 inches
1.76 inches
10.42 inches
A 50 in3
C 100 in3
B 60 in3
D 110 in3
Sixth Grade Diagnostic and Placement Tests
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7
24
What is the volume of the figure?
= 1 cubic unit
25
26
27
A 10 cubic units
C 14 cubic units
B 12 cubic units
D 16 cubic units
Which of the following is equal to 4 gallons?
A 1 quart
C 12 quarts
B 8 quarts
D 16 quarts
A rectangular shoebox is 14 inches long by 8 inches wide by 6 inches tall.
What is the volume of the shoebox?
A 28 cubic inches
C 480 cubic inches
B 668 cubic inches
D 672 cubic inches
Look at the coordinate grid below. Which point is located at (2, 5)?
C
D
A
O
1 2 3 4 5 6 7 8 9 10 x
A Point A
C Point C
B Point B
D Point D
Sixth Grade Diagnostic and Placement Tests
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8
28
On the graph below, ∆ABC is graphed. What is the x-coordinate of point A?
C
B
A
O
A 3
29
30
1 2 3 4 5 6 7x
B 4
C 5
D 6
Which of the following does not describe the figure below?
A square
C quadrilateral
B rectangle
D pentagon
Which best describes this figure?
A pentagon
C triangle
B hexagon
D octagon
Sixth Grade Diagnostic and Placement Tests
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
9