Grade Six Mathematics Sample Items by Reporting Achievement Level
A student scoring at the indicated level is likely to answer this item correctly.
Level 1 Sample Item
The table shows the relationship between the amounts of ginger ale and fruit juice needed to make punch.
Fill in the missing values to complete the table.
Description: The student can find missing values in a table that displays a proportional relationship.
The correct answer is 2 and 54.
Level 2 Sample Item
A box of 72 candles costs $18.
What is the cost, in dollars, of one candle?
Description: The student can use the concept of a unit rate to solve straightforward one-step problems requiring ratio reasoning.
The correct answer is 4.
Level 3 Sample Item
A bus travels 36 miles in 45 minutes.
Enter the number of miles the bus travels in 60 minutes at this rate.
Description: The student can use ratio reasoning to solve multi-step problems, including instances of constant speed.
The correct answer is 48.
Level 4 Sample Item
A recipe uses 5 cups of water to 1 cup of lemon juice.
Select all the statements about the recipe that are correct.
☐ Every 1 cup of lemon juice would make 6 cups of lemonade.
☐ Every 5 cups of water would make 6 cups of lemonade.
☐ The ratio of lemon juice to water is 1:5.
☐ The ratio of lemon juice to water is 1:6.
☐ The ratio of lemon juice to water is 5:1.
Description: The student can explain ratio relationships between two number quantities.
The correct answer is A, B, and C.
About These Items
Claim 1
Concepts and Procedures
Target D
Understand ratio concepts and use ratio reasoning to solve problems.
Standards
6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.
6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.