Geometry/Measurement
A pentagon is shown.
Which statement appears to be true about two sides of the pentagon?
A Side GH is parallel to side JK.
B Side GL is parallel to side HJ.
C Side GL is perpendicular to side HJ.
D Side GH is perpendicular to side JK.
B Side GL is parallel to side HJ.
Each of these models is divided into equal parts.
Look at page 27 for models
A baker will make 3 pies. The baker needs 1/4 teaspoon of salt for each pie. The baker will shade parts in one of the models to represent the fraction of a teaspoon of salt needed for 3 pies.
How many parts should be shaded in which model?
A 3-part in Model A should be shaded.
B 3 parts in Model C should be shaded.
C 4parts in Model B should be shaded.
4parts in Model C should be shaded.
A 3-part in Model A should be shaded.
Which expression has a value of 11/12 ?
A 5/12 + 2/12 + 1/12
B 2/12 + 4/12 + 3/12
C 2/12 + 4/12 + 5/12
D 5/12 + 6/12 + 1/12
C 2/12 + 4/12 + 5/12
Which decimal is equivalent to 62/100 ?
A 0.10062
B 0.062
C 0.62
D 0.62100
C 0.62
3,486 + 6,676
10,162
The diagram shows angle ACB. Go to page 22
Which statement is true about angle ACB?
A The number of 1°angles that angle ACB turns through is 27.
B The number of 7°angles that angle ACB turns through is 20.
C The number of 20° angles that angle ACB turns through is 7.
D The number of 90° angles that angle ACB turns through is 27.
A The number of 1°angles that angle ACB turns through is 27.
A student walked around a field 3 times. The distance around the field is 3/10 mile. What is the total distance the student walked?
A 9/30 mile
B 6/11 mile
C 6/10 mile
D 9/10 mile
D 9/10 mile
What is the value of 3/10 + 8/100?
Select one answer.
A 11/110
B11/100
C 38/110
D 38/100
D 38/100
Which equation is true?
Select one answer.
A 6/12=4/8
B 4/5=9/10
C 1/2=1/100
D 3/6=2/6
A 6/12=4/8
5,217-3,146
2,071
Last week, a student kept track of how long soccer practice lasted each day. The line plot shows the student’s data.
Which question can be answered using all of the information in the line plot?
A On which day last week did soccer practice last the longest?
B On which days last week did soccer practice last more than 1 hour?
C What was the total amount of time soccer practice lasted last week?
D What was the greatest amount of time soccer practice lasted on any day last week?
E How many days last week did the student not practice?
A On which day last week did soccer practice last the longest?
B On which days last week did soccer practice last more than 1 hour?
E How many days last week did the student not practice?
3186 X 4=
12,744
A 3 3/4
B 3 2/4
C 3 1/4
D 2 2/4
D 2 2/4
Which two comparisons are true?
Select the two correct answers.
A 999,999<1,000,000
B 253,800>443,166
C42,709=42,907
D24,604<24,218
E11,386>11,368
A 999,999<1,000,000
E11,386>11,368
A student rounded 3872 to the nearest hundred and to the nearest thousand. The student noticed that the results, 3900 and 4000, were not equal. The student claimed that the two results will never be equal when a number is rounded to the nearest hundred and to the nearest thousand.
Which two numbers could be used to show that the student’s claim is incorrect?
Select the two correct answers.
A 43,594
B 55,962
C 67,299
D 72,357
E 81,974
B 55,962
E 81,794
A student drew a quadrilateral with one right angle. The student then divided the quadrilateral into two triangles. The student measured one angle in one of the triangles as shown in the figure.
Look at page 14.
Which solution path could the student use to find the value of b without measuring the angle?
A. add 35 to 90
B divide 90 by 35
C. multiply 35 by 90
D. subtract 35 from 90
D subtract 35 from 90
A train museum has a toy train that goes around the entire museum. The train goes around 10 times in 2hours.
A student calculated the amount of time it takes for the train to go around 1 time. The work is shown.
Student Work 2hours ÷10 = 0.2hour 0.2 is the same as 0.20, so it takes 20minutes for the train to go around 1 time.
The student’s work is incorrect.
• Explain any errors in the student’s work.
• Explain how to correct the student’s work and find the amount of time it takes for the train to go around the museum 1 time.
Enter your answer and your work or explanation in the space provided.
The student divided correctly, but 0.20 hour is not the same as 20 minutes. 0.20 hour is 2 10 of an hour and 20 minutes is 1 3 of an hour. Before dividing by 10, the student could have changed 2 hours to 120 minutes. 120 minutes ÷ 10 = 12 minutes. So it takes 12 minutes for the train to go around the museum 1 time.
A student used these models to compare the fractions 7/12 and 6/8. The student incorrectly claimed that 7/12 > 6/8 because more sections are shaded in the model that represents the fraction 7/12 than in the model that represents the fraction 6/8.
Look at the model on page 18.
Which statements explain why the claim is incorrect? A The student only compared the numerators. The student should have compared the number of parts and the shape of each part in each model.
B The student only compared the denominators. The student should have compared the number of parts and the shape of each part in each model.
C The student only compared the numerators. The student should have compared the number of shaded parts and the size of each part in each model.
D The student only compared the denominators. The student should have compared the number of shaded parts and the size of each part in each model.
C The student only compared the numerators. The student should have compared the number of shaded parts and the size of each part in each model.
There are six different pies left over after a party. Each of the pies has a fractional amount left at the end of the party. The line plot shows the fractions of pies leftover.
Look at the line plot on page 32.
Each person who attended the party will receive an equal amount of the leftover pie.
Which piece of information is needed to determine how much pie each person should receive?
A the types of pie that are left over
B the type of pie each person likes most
C the number of slices in each whole pie
D the number of people who attended the party
D the number of people who attended the party
The rules for a number pattern are shown.
• The first number in the pattern is 3.
• Each number after the first number is 4 more than the previous number.
The first five numbers in the pattern are shown. 3, 7, 11, 15, 19
What is the seventh number in the pattern?
26
The figure represents a rectangular floor. A worker is installing tiles on the floor. Each tile covers 2square feet of area.
Look at the model on page 35.
Which steps should the worker take to find the number of tiles needed?
A First, find the value of 42 + 74 + 42 + 74.Next, divide the result by 2.
B First, find the value of 42 + 74 + 42 + 74.Next, multiply the result by 2.
C First, find the value of 42 × 74.Next, divide the result by 2.
D First, find the value of 42 × 74.Next, multiply the result by 2.
C First, find the value of 42 × 74.Next, divide the result by 2.
Which two problems are solved using 30 × 40? Select the two correct answers.
A One box has 30 pencils. Another box has 40 pencils. How many pencils are in the boxes in all?
B There are 30 slides in a small playground. There are 40 slides in a large playground. How many slides are in the small and large playgrounds?
C A classroom has 30books. The number of pages in the books is 40 times as many as the number of books. How many pages are in the books?
D One elementary school has 30teachers. There are 40more teachers at a middle school than the elementary school. How many teachers are at the middle school?
E There are 30 clerks at a store. The number of hours the clerks worked this week is 40 times as many as the number of clerks. How many hours did the clerks work this week?
C A classroom has 30books. The number of pages in the books is 40 times as many as the number of books. How many pages are in the books?
E There are 30 clerks at a store. The number of hours the clerks worked this week is 40 times as many as the number of clerks. How many hours did the clerks work this week?
Each model shown represents one whole, and each model is shaded into equal parts. Which expression represents the equivalent fractions shown by the shaded parts in the models?
Look at page 25 for models and expressions
B 1/3= 1 x4/ 3 x 4
A model is shown. Look at page 34 for the model.
Explain how the model could be used to find the result of 54 × 78.Then find the result of 54 × 78. Enter your answer and your explanation in the space provided
The model could be used to find the partial products. 70 and 8 are each multiplied by 50 and 4. 3500 is the product of 50 and 70. 400 is the product of 50 and 8. 280 is the product of 70 and 4. And 32 is the product of 8 and 4. Lastly, the partial products should be added together to get the product of 4212.
A teacher with 25 students needs to prepare 40 one- page worksheets for each student. Each package of paper has 500 pages. The teacher thinks that 2 packages of paper are needed.
Which two steps are part of a solution path to show why the teacher’s thinking is correct?
Select the two correct answers.
A Add 40 to 25to determine the total number of worksheets the teacher needs.
B Divide 40 by 25to determine the total number of worksheets the teacher needs.
C Multiply 40 by 25to determine the total number of worksheets the teacher needs.
D Add the total number of worksheets to 500 to determine the number of packages the teacher needs.
E Divide the total number of worksheets by 500 to determine the number of packages the teacher needs.
F Multiply the total number of worksheets by 500 to determine the number of packages the teacher needs.
C Multiply 40 by 25 to determine the total number of worksheets the teacher needs.
E Divide the total number of worksheets by 500 to determine the number of packages the teacher needs.