Supply Practice Worksheet Problems and Solutions

Mathematics Practice Worksheet

The following practice worksheet is designed to help students assess their understanding of various mathematical concepts. The worksheet is divided into sections, each focusing on a specific topic. Read each problem carefully and choose the correct answer.

Section 1: Algebra

Solve for x in the following equations:

1. 2x + 5 = 11
2. x - 3 = 7
3. 4x = 28

Section 2: Geometry

Find the perimeter and area of the following shapes:

1. A rectangle with a length of 6 cm and a width of 4 cm.
2. A triangle with sides of 5 cm, 6 cm, and 7 cm.

Section 3: Trigonometry

Solve the following trigonometric equations:

1. sin(x) = 0.5
2. cos(x) = 0.75

Section 4: Word Problems

Solve the following word problems:

1. A bakery sells 250 loaves of bread per day. If each loaf costs $2, how much money does the bakery make in a day?
2. A car travels from City A to City B at an average speed of 60 km/h. If the distance between the two cities is 240 km, how long does the trip take?

Solutions

Section 1: Algebra

1. 2x + 5 = 11 x = 3

2. x - 3 = 7 x = 10

3. 4x = 28 x = 7

Section 2: Geometry

1. Rectangle: Perimeter = 2(l + w) = 2(6 + 4) = 20 cm Area = l × w = 6 × 4 = 24 cm²

2. Triangle: Perimeter = a + b + c = 5 + 6 + 7 = 18 cm Area = (base × height) / 2 = (6 × 4) / 2 = 12 cm²

Section 3: Trigonometry

1. sin(x) = 0.5 x = 30°

2. cos(x) = 0.75 x = 41.41°

Section 4: Word Problems

1. Bakery: Total money = number of loaves × price per loaf = 250 × 2 = 500

2. Car trip: Time = distance / speed = 240 km / 60 km/h = 4 hours

📝 Note: Make sure to show your work and calculations when solving these problems.

In the next section, we will discuss some common mistakes to avoid when solving mathematical problems.

Common Mistakes to Avoid

• Not reading the problem carefully
• Not showing work or calculations
• Not checking units or dimensions
• Not using the correct formula or equation
• Not simplifying answers

By avoiding these common mistakes, you can improve your problem-solving skills and become more confident in your mathematical abilities.

In Summary

In this practice worksheet, we covered various mathematical concepts, including algebra, geometry, trigonometry, and word problems. We also discussed some common mistakes to avoid when solving mathematical problems. Remember to always read the problem carefully, show your work, and check your answers.