Algebra Class 10 - Fractions Quiz

Questions and Answers

What is the correct unit for expressing area in the given solution?

m^2

cm^2 (correct)

cm^3

Which calculation represents the area calculated in the solution?

70 × 80

π × (70)^2

0.5 × 70 × 80 (correct)

2 × (70 + 80)

If the perimeter of a rectangle is calculated, which of the following formulas is correct?

2 × (length + width) (correct)

length × width

(length × width) + (length × height)

π × diameter

What is the final calculated area in the solution provided?

2800 cm^2 Signup and view all the answers

When calculating the circumference of a circle with a diameter of 70 cm, which expression would provide the correct result?

2 × π × 70 Signup and view all the answers

What is the area calculated using the formula for a triangle with a base of 3.1 cm and a height of 6.8 cm?

10.54 cm² Signup and view all the answers

What is the area of a circle with a radius of 76 mm?

4536.46 mm² Signup and view all the answers

If a rectangle has a length of 5 m and a width of 4 m, what is its area?

20 m² Signup and view all the answers

Which of the following represents the correct unit conversion from square centimeters to square meters?

1 cm² = 0.0001 m² Signup and view all the answers

What is the circumference of a circle with a diameter of 76 mm?

238.76 mm Signup and view all the answers

Study Notes

Calculating Area and Circumference

Area Formula for Triangle: Area = 0.5 × base (b) × height (h)
Example calculation for area: 0.5 × 3.1 cm × 6.8 cm = 10.54 cm²
Area Formula for Circle: Area = π × radius (r)²
Example calculation for area: π × 76 mm × 76 mm × 0.25 = 4536.46 mm²

Display of Working Calculations

Clear display of all calculations is necessary to demonstrate understanding.
Correct steps to arrive at the answer are essential, resulting in marks awarded for displaying the correct calculation.
Round final answers to two decimal places where applicable.

Unit Consistency

Ensure that units are consistent across all calculations.
Final answers should include units for clarity; for example, cm² for area and m for perimeter.

Perimeter/Circumference Calculation

Exercise involves calculating the perimeter/circumference of specified shapes.
Each correct answer for perimeter must also show the requisite working for full marks.

Evaluation Criteria

Awarding of marks based on:
- Correctness of the displayed calculations (1 mark)
- Correct final answer with proper units (1 mark)

Example Outcomes

Correct area calculation resulting in 10.54 cm² for a triangle.
Correct area calculation resulting in approximately 4536.46 mm² for a circle.
Emphasis on methodical presentation of work to ensure high-scoring responses.

Description

Test your understanding of fractions with this Algebra Class 10 quiz. You'll encounter various problems that challenge your skills in working with fractions, including simplification and operations. Perfect for reinforcing your learning!