Wayground
Quadratic Word Problems Practice - Printable Mathematics Worksheets - Wayground

Quadratic Word Problems Practice

6 questions

9th - 9th Grade

Mathematics

Quadratic Word Problems Practice is a Grade 9 mathematics worksheet with six multiple-choice questions focused on interpreting and solving quadratic models. Students determine maximum heights from projectile equations, identify when objects return to the ground, count the zeros of a parabola, and use area relationships to find rectangle dimensions. This free printable worksheet helps students connect quadratic equations to practical situations involving objects, frogs, dolphins, and rectangles. The answer choices let teachers quickly check whether students can interpret a parabola’s key features and translate geometric information into a solvable quadratic relationship. A complete answer key is included for efficient review, independent practice, homework, or formative assessment.

Worksheet settings

Font size

S
M
L
XL
Worksheets

Quadratic Word Problems Practice

Total questions: 6

Name
Class
Date
1.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t2 + 64t + 80. What will be the object's maximum height? 
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
2.
A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 
a)
6
b)
8
c)
3
d)
19
3.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t2 + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

4.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
5.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t2 + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

6.

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

a)

4 cm by 8 cm

b)

6 cm by 10 cm

c)

8 cm by 12 cm

d)

10 cm by 14 cm

Answer Key

Quadratic Word Problems Practice

Total questions: 6

1.
c) 144 ft
2.
b) 8
3.
b)

1 second

4.
b) 2
5.
d)

8 feet

6.
c)

8 cm by 12 cm

FAQs

What does the Quadratic Word Problems Practice worksheet cover?

This Grade 9 worksheet uses six multiple-choice questions to assess quadratic word-problem skills. Students interpret projectile equations to find maximum height and return time, determine the number of zeros of a parabola, and use rectangle area and side relationships to find dimensions.

How can I use this worksheet to teach quadratic word problems?

Introduce the worksheet by reviewing how a quadratic model represents a changing quantity, then ask students to identify what each variable and coefficient means in the projectile and animal-jump scenarios. For the rectangle problems, have students define one side in terms of the other before checking which answer choice satisfies the stated area and relationship. Use students’ selected options to discuss why a maximum, a ground-level time, or a dimension pair fits the situation.

What mistakes should I watch for when students complete this quadratic word problems worksheet?

Students may confuse the starting height with the maximum height, choose the initial time instead of the later time when a frog returns to the ground, or misread the number of zeros from the parabola. In the rectangle items, watch for reversing the length-and-width relationship or selecting dimensions that do not produce the stated area. Students may also treat every listed answer choice as a possible dimension pair without substituting it back into the problem.

How do I assign and grade this worksheet?

Quadratic Word Problems Practice is available as a printable PDF and as a digital quiz on Wayground, so you can use the six multiple-choice items for paper or online practice. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support instruction in settings that are reducing screen time.

How can I differentiate this quadratic word problems worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the six multiple-choice questions and their equations are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that supports access to the quadratic models and rectangle word problems.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.