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ACT Aspire Math (Grade 7) - Printable Mathematics Worksheets year 7 - Wayground

ACT Aspire Math (Grade 7)

16 questions

7th - 7th Grade

Mathematics

ACT Aspire Math (Grade 7) is a free printable worksheet with an answer key for reviewing a broad set of Grade 7 mathematics skills in an assessment-style format. It includes 16 items—13 multiple-choice questions and 3 fill-in-the-blank questions—covering algebraic expressions, multi-step financial and percent problems, decimal multiplication, polygon area, similarity ratios, mean and deviation, probability, data variability, rational numbers, and equivalent expressions. Students apply concepts rather than complete a single-topic practice set. They translate relationships into algebraic expressions, simplify expressions with parentheses and distributive reasoning, calculate with decimals and percentages, interpret data and probability situations, and select or enter answers independently. The mixed question formats help teachers check both recognition and constructed responses while building familiarity with ACT Aspire-style math questions. Use it for Grade 7 instruction, review, independent practice, or formative assessment in a mathematics classroom.

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Worksheets

ACT Aspire Math (Grade 7)

Total questions: 16

Name
Class
Date
1.

Ruby is two years younger than her brother. If Ruby's brother's age is A, which of the following expressions correctly represents Ruby's age?

a)

A - 2

b)

A + 2

c)

2A

d)

2 - A

2.

Andrew has $9.39 but needs $15.00 to make a purchase. How much more does he need?

a)

$6.39

b)

$5.61

c)

$5.39

d)

$6.61

3.

Aaron wants to plant an orchard of apple trees. Based upon what he has studied, he can expect that 90% of the trees he plants will survive the first year. Of those that survive the first year, he can expect that 95% will survive permanently. If he is going to plant 300 trees this spring and another 500 the following spring, how many trees should he expect to have in his orchard permanently?

Instruction: Write your answer (numbers only) in the box below.

(a)  

4.

Find the difference: 8n - (3n-6) =

a)

-n

b)

5n - 6

c)

5n + 6

d)

8n - 6

5.

Ben has to unload a truck filled with 25 bags of grain for his horses. Each bag weighs 50.75 pounds.

How many pounds does he have to lift?

a)

 12,687.50 pounds

b)

1, 268.75 pounds

c)

126.875 pounds

d)

1250 pounds

6.

Calculate the area of the following polygon.

a)

3 square units

b)

6 square units

c)

1.5 square units

d)

1 square units

7.

What is the similarity ratio between the following two similar figures?

a)

21\frac{2}{1}  

b)

14\frac{1}{4}  

c)

23\frac{2}{3}  

d)

32\frac{3}{2}  

8.

Calculate the Mean for the following set of data:

{4, 5, 2, 14\frac{1}{4}  , 0.75}

Keep your answer as a decimal.

a)

2.4

b)

12

c)

None

d)

5

9.

The table shows the types of fruits Jessie's mom purchased from the grocery store.

If Jessie grabs one of the fruits without looking, what is the probability that he will NOT pick a peach?

a)

25\frac{2}{5}  

b)

315\frac{3}{15}  

c)

45\frac{4}{5}  

d)

23\frac{2}{3}  

10.

The mean of a data set is 5. The minimum of the data is 2. What is the deviation of the minimum? Type the answer in the box.

(a)  

11.

Jasmine has opened a bank account with an initial deposit of $200. She has also received a debit card to use for her account. Each week she is able to save $10 to deposit in the account. Her account balance (the amount of money in the account) is her initial deposit of $200 plus any deposits she makes minus any purchases she makes using her debit card.

Three weeks after Jasmine opened her account, she has made two purchases. She bought a pair of shoes that cost $15.75, and she purchased some music online for a cost of $5.50. Which of the following expressions would correctly represent the amount of money in her account after three weeks:

a)

$200 + $15.75 + $5.50

b)

$200 + (-$15.75) + (-$5.50)

c)

$200 + $15.75 + $5.50 + 3($10)

d)

$200 + (-$15.75) + (-$5.50) +3($10)

12.

All the 7th graders in Jennifer’s school take art class as well as math class. The variability (range) of students’ grades in art class is about the same as the variability (range) of students’ grades in math class. However, the mean of students’ grades in math class is significantly lower than that in art class. Which of the following tables of students’ grades in each class would represent this situation correctly?

a)
b)
c)
d)
13.

Which of the following is an equivalent expression to:

−3b[2c + 4 − 5t + (−4c)]

a)

−12b +15bt −18bc

b)

−12b(−2c − 5t)

c)

−12b +15bt − 3b(−2c)

d)

−3b(−t − 2c)

14.

The rational number 35\frac{3}{5}   would be an appropriate number to use in considering which of the following scenarios:

a)

 There are 50 test questions on an exam. A student wants to know how many he might miss and still miss no more than 30% of the questions.

b)

Mike travelled 50 miles in 30 minutes and wants to calculate his speed in MPH.

c)

Out of 65 students, only 39 of them completed their homework. The teacher wishes to express that as a simplified ratio.

d)

Three friends want to buy a $5 toy together and need to know how much each of them needs to pay.

15.

Which of the following values represents a probability of an event that is likely to happen, and why?

a)

0.03, because likely events have a probability close to 0.

b)

97.4, because likely events have a probability close to 100%.

c)

0.51, because any probability higher than 0.5 is likely to happen.

d)

0.95, because likely events have a probability close to 1.

16.

Ryan started the summer with 50 chicken eggs in an incubator. Only 84% of the eggs hatched. Of the resulting chicks, 56\frac{5}{6}  of them survived the first 3 weeks. If he expects that after 1 year, his number of chickens will be double the number of chicks that survive the first 3 weeks, how many chickens can he expect to have at that time?

Instruction: Write your answer (number only) in the box.

(a)  

Answer Key

ACT Aspire Math (Grade 7)

Total questions: 16

1.
a)

A - 2

2.
b)

$5.61

3.
684
4.
c)

5n + 6

5.
b)

1, 268.75 pounds

6.
b)

6 square units

7.
a)

21\frac{2}{1}  

8.
a)

2.4

9.
c)

45\frac{4}{5}  

10.
-3, - 3
11.
d)

$200 + (-$15.75) + (-$5.50) +3($10)

12.
b)
13.
c)

−12b +15bt − 3b(−2c)

14.
c)

Out of 65 students, only 39 of them completed their homework. The teacher wishes to express that as a simplified ratio.

15.
d)

0.95, because likely events have a probability close to 1.

16.
70

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FAQs

What does the ACT Aspire Math (Grade 7) worksheet cover?

This worksheet reviews Grade 7 skills through 13 multiple-choice questions and 3 fill-in-the-blank items. Students translate verbal relationships into algebraic expressions, simplify expressions, solve decimal and percent applications, calculate area and similarity ratios, interpret means and deviation, and reason about probability, rational numbers, and data variability. The varied format requires students to select justified results in some items and produce numerical answers in others.

How can I use this worksheet to teach Grade 7 ACT Aspire math skills?

Use the worksheet after teaching separate mini-lessons on expressions, proportional or percent reasoning, geometry, and data analysis. Have students explain why an expression represents a situation, such as an account balance after deposits and purchases, before completing the selected-response item. For review, sort missed questions by skill and ask students to compare the reasoning behind an algebraic simplification, a probability judgment, and a mean calculation.

What mistakes should I watch for on this Grade 7 math worksheet?

Watch for students reversing a relationship when writing an expression, distributing a negative incorrectly, or treating purchases as additions in the bank-account problem. Students may also confuse mean with another data value, interpret deviation without subtracting the mean, or choose a probability greater than 1 or a decimal near 0 when the event is likely. In the fill-in-the-blank items, check that students enter only the required numerical response.

How do I assign and grade this ACT Aspire Math worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all question types. Assign the PDF for independent practice or review, or use the digital quiz to collect responses electronically. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this Grade 7 math worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the multi-step word problems, algebraic expressions, and data questions are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate. These options modify the worksheet itself while preserving its multiple-choice and fill-in-the-blank formats.

Where can I find more worksheets like this on Wayground?

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

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