7th Grade Math Placement Test
25 questions, one for each 7th 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.
Decide if the relationship is proportional, or use the proportion to answer.
If 2 pounds of apples cost $5.00, how much do 9 pounds of apples cost? - 2.
Find the constant of proportionality (k) in y = kx.
A car goes 69 miles on 3 gallons of gas. What is the constant of proportionality in miles per gallon? Write an equation for miles m and gallons g. - 3.
Use the graph or equation to answer the questions.
The graph shows cups of water for cups of rice. What is the unit rate? - 4.
Solve the problem. Round money to the nearest cent.
Shoes cost $70. They are 20% off, then 8% tax is added to the sale price. What is the final cost? - 5.
Find the percent increase or decrease.
The price of a ticket went from $60 to $90. What is the percent increase? - 6.
Use I = Prt to answer the question.
Maya puts $3,400 in a savings account that pays 6% simple interest a year. How much interest is earned in 1 year? - 7.
Add or subtract.
−4 + 15 − (−9) - 8.
Multiply or divide.
(−4)⁴ - 9.
Add, subtract, multiply or divide. Write fractions in simplest form.
5.6 × 3.3 - 10.
Write the fraction as a decimal, or the decimal as a fraction in simplest form.
Write 25 as a decimal. - 11.
Simplify the expression by combining like terms.
−3x − 4 − 1 + 8x - 12.
Use the distributive property to expand or factor.
−(x − 1) - 13.
Solve the equation. Show your work.
y6 + 4 = 5 - 14.
Solve the inequality.
7n − 13 < 36 - 15.
Write an equation and solve it.
A rectangle has a perimeter of 76 cm and a length of 21 cm. What is its width? - 16.
Use the scale to answer the question.
A drawing of a garden is 5 in by 5 in, with the scale 1 in : 2 ft. What is the real area of the garden? - 17.
Find the missing angle or the value of x.
Two lines cross. One angle measures 39°. What are the measures of its vertical angle and of the angle next to it? - 18.Can a triangle have angles of 62°, 49° and 69°?
- 19.
Use 3.14 for π. Round to the nearest hundredth.
Find the area of a circle with a radius of 8 cm. - 20.
Solve the problem. Include the units.
A tent is a triangular prism. Its triangle end has a base of 4 ft and a height of 3 ft, and the tent is 9 ft long. What is its volume? - 21.
Name the shape of the cross section.
A triangular prism is sliced parallel to one of its rectangle faces. - 22.
Find the probability. Write it as a fraction in simplest form.
A number cube (1 to 6) is rolled. What is the probability of rolling a prime number? - 23.
Find the probability. Write it as a fraction in simplest form.
A bag has 6 red and 4 blue cubes. You pick one, put it back, then pick again. What is P(red, then blue)? - 24.In a random sample of 25 students, 23 prefer pizza for lunch. About how many of the 425 students at the school prefer pizza for lunch?
- 25.
Compare the two groups. MAD stands for mean absolute deviation.
Minutes of reading. Group A: 26, 29, 21, 14, 20. Group B: 37, 37, 30, 22, 28. Which group read more, on average, and by how much?
