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Grade 7 Math: Exploring Mathematical Formulas

This worksheet helps Grade 7 students practice applying various mathematical formulas to solve problems involving geometry, percentages, and basic algebra.

Grade 7 Math The BasicsMathematical Formulas
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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.4CCSS.MATH.CONTENT.7.RP.A.3CCSS.MATH.CONTENT.7.EE.B.4
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Grade 7 Math: Exploring Mathematical Formulas

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Read each question carefully and use the appropriate mathematical formulas to solve them. Show all your work.

1. Find the area of a circle with a radius of 7 cm. Use π ≈ 3.14.

7 cm

2. Calculate the perimeter of a rectangle with a length of 12 meters and a width of 8 meters.

12 m8 m

3. The formula for the area of a triangle is A =  .

4. To find the circumference of a circle, you can use the formula C = πd or C =  .

5. The volume of a rectangular prism is calculated using the formula V = length × width ×  .

6. A square has a side length of 5 cm. What is its area?

a

10 cm²

b

20 cm²

c

25 cm²

d

30 cm²

7. What is the simple interest earned on $500 at an annual rate of 4% for 3 years?

a

$20

b

$40

c

$60

d

$80

8. The formula for the area of a square is A = 2s, where s is the side length.

T

True

F

False

9. The formula for calculating simple interest is I = Prt, where P is the principal, r is the rate, and t is the time.

T

True

F

False

10. A rectangular garden has a length of 15 feet and a width of 10 feet. If you want to put a fence around it, how much fencing do you need?

11. A car travels at a speed of 60 miles per hour for 2.5 hours. Use the formula distance = speed × time to find the total distance traveled.