6th Grade Math Placement Test
25 questions, one for each 6th grade topic
Answer each question. Show your work in the space under it. If you don’t know how to do one, skip it and go on.
- 1.
Write ratios in simplest form, like 3:4.
A fruit basket has 36 apples and 30 oranges. What is the ratio of oranges to all of them? - 2.
Use the ratio to find the missing values.
A recipe uses 7 cups of flour for every 4 eggs. Omar uses 28 eggs. How many cups of flour are needed? - 3.Pack A has 4 yogurt cups for $2.80. Pack B has 9 yogurt cups for $4.95. Which pack is the better buy?
- 4.
Divide. Write the answer in simplest form.
38 ÷ 6 - 5.
Divide. Use the standard algorithm.
8,295 ÷ 35 - 6.
Add, subtract, multiply or divide.
64.11 − 45.58 - 7.
Find the greatest common factor (GCF) or least common multiple (LCM).
Use the GCF to write 30 + 18 as a product, like 4(2 + 3). - 8.What is the opposite of −17?
- 9.
Find the absolute value or compare.
A diver is at −18 feet and a bird is flying at 33 feet. Which one is farther from sea level, and by how many feet? - 10.How far apart are (3, −4) and (−6, −4)?
- 11.
Evaluate the expression. Use the order of operations.
8² − 9 × 3 - 12.
Write an expression for the phrase.
The age, 12 years from now, of someone who is y years old today - 13.
Write an equivalent expression as asked.
Use the distributive property: 5(y + 2) - 14.
Solve the equation.
k + 14 = 26 - 15.
Write or solve the inequality.
Solve: 4x < 16 - 16.
Write an equation and name the independent and dependent variables.
Diego earns $14 for each lawn mowed. Let L be the lawns mowed and e the money earned. - 17.
Find the area of the shape. Include the units.
A triangle has a base of 16 cm and a height of 13 cm. - 18.
Use the coordinates to answer the question.
Three corners of a rectangle are (1, 0), (7, 0) and (7, 9). What is the fourth corner? - 19.
Find the surface area. Include the units.
A net has six rectangles: two that are 2 by 5 in, two that are 2 by 8 in and two that are 5 by 8 in. - 20.
Find the volume. Include the units.
How many cubes with 12-ft edges fit in a box that is 4 by 4 by 2 ft? - 21.
Is this a statistical question? Write yes or no and explain.
What are the shoe sizes of the students in my grade? - 22.
Find the mean, median and mode of the data set.
Quiz scores out of 100: 68, 69, 62, 71, 67, 65, 61, 65 - 23.
Find the range and the mean absolute deviation (MAD). Round to the nearest tenth if needed.
Data: 32, 35, 30, 35 - 24.
Use the dot plot to answer the question.
How many data values are shown? What is the median?Siblings per student - 25.Find the five-number summary: 51, 79, 67, 60, 61, 53, 70, 72, 66
