[SSC II] Computer Science SLO 7.2.3

Computer Science SSC II Notes - AKUEB

7.2.3 Write algorithm for solving problems;

1. Algorithm to find the sum, product and average of five given numbers.

Step 1: Start

Step 2: Input 5 numbers (a, b, c, d, e)

Step 3: Add the 5 numbers (SUM=a+b+c+d+e)

Step 4: Divide SUM by 5 (AVG=SUM/5)

Step 5: Output AVG (Average)

Step 6: Stop

 

2.  Algorithm to find acceleration of a moving object with given mass and the force applied.

To find the acceleration of a moving object with a given mass and the force applied, you can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied and inversely proportional to its mass.

The formula to calculate acceleration (a) is: a = F / m Where:

a = acceleration

F = net force applied

m = mass of the object

 Step 1: Start

Step 2: Input Mass (m) and Force applied (F)

Step 3: Calculate Acceleration (a) [a=F/m]

Step 4: Output a (acceleration)

Step 5: Stop

 

3. Algorithm to find the volume of a cube, cylinder or sphere.

To find the volume of a cube, cylinder, or sphere, you can use the following formulas:

Volume of a Cube: V = L^3

Volume of a Cylinder: V = π * r^2 * h

Volume of a Sphere: V = (4/3) * π * r^3

Step 1: Start

Step 2: Read the shape choice (Cube/Cylinder/Sphere)

Step 3: If the shape choice is a Cube, go to Step 4; otherwise go to Step 6.

Step 4: Ask the user to enter the length (L) of one side.

Step 5: Calculate the volume of the Cube using the formula V = L^3.

Step 6: If the shape choice is a Cylinder, go to Step 7; otherwise go to Step 9.

Step 7: Ask the user to enter the radius (r) of the base and the height (h) of the cylinder.

Step 8: Calculate the volume of the Cylinder using the formula V = π * r^2 * h.

Step 9: For the volume off Sphere: Ask the user to enter the radius (r) of the sphere.

Step 10: Calculate the volume of the sphere using the formula V = (4/3) * π * r^3.

Step 11: Display the calculated volume (V) to the user.

Step 12: Stop

 

4. Algorithm to find the area of a triangle, parallelogram, rhombus or trapezium. 

To find the area of a triangle, parallelogram, rhombus, or trapezium, you can use the following formulas:

Area of a Triangle: A = (b * h) / 2

Area of a Parallelogram: A = b * h

Area of a Rhombus: A = (d1 * d2) / 2

Area of a Trapezium (Trapezoid): A = ((b1 + b2) * h) / 2

 Step 1: Start

Step 2: Read the shape choice (Triangle/Parallelogram/Rhombus/Trapezoid)

Step 3: If the shape choice is a Triangle, go to Step 4; otherwise go to Step 6.

Step 4: Ask the user to enter base (b) and the height (h).

Step 5: Calculate the area of the Triangle using the formula A = (b * h) / 2.

Step 6: If the shape choice is a Parallelogram, go to Step 7; otherwise go to Step 9.

Step 7: Ask the user to enter the base (b) and the height (h).

Step 8: Calculate the area of the Parallelogram using the formula A = b * h.

Step 9: If the shape choice is Rhombus go to Step 10; otherwise go to Step 12.

Step 10: Ask the user to enter the lengths of the diagonals. (d1 and d2)

Step 11: Calculate the area of the Rhombus using the formula A = (d1 * d2) / 2

Step 12: For the area of Trapezoid: Ask the user to enter the lengths of the bases (b1 and b2) and the height (h).

Step 13: Calculate the area of the Trapezium using the formula A = ((b1 + b2) * h) / 2.

 Step 14: Display the calculated Area (A) to the user.

Step 15: Stop

 

5. Algorithm to convert Celsius to Fahrenheit temperature and vice versa. 

Celsius to Fahrenheit:

The temperature in Fahrenheit can be calculated by multiplying the temperature in Celsius by 9/5 and adding 32.

Formula: F = (C * 9/5) + 32

Step 1: Start

Step 2: Ask the user to enter temperature in Celsius (C).

Step 3: Calculate the temperature in Fahrenheit using the formula: F = (C * 9/5) + 32.

Step 4: Output the value in Fahrenheit (F).

Step 5: Stop

 

Fahrenheit to Celsius:

 The temperature in Celsius can be calculated by subtracting 32 from the temperature in Fahrenheit and then multiplying the result by 5/9.

Formula: C = (F - 32) * 5/9

Step 1: Start

Step 2: Ask the user to enter temperature in Fahrenheit (F).

Step 3: Calculate the temperature in Celsius using the formula: C = (F - 32) * 5/9.

Step 4: Output the value in Celsius (C).

Step 5: Stop

 

6. Algorithm to display the larger out of three given unequal numbers.

 To display the larger one out of three given numbers we may use conditions in our algorithm.

Conditional Word/ Statement: IF 

Step 1: Start

Step 2: Input the three unequal numbers (a,b,c).

Step 3: If ‘a’ is greater than ‘b’ and ‘a’ is also greater than ‘c’ (a>b && a>c) then go to step 4; otherwise go to step 5.

Step 4: Output ‘a’.

Step5: If ‘b’ is greater than ‘a’ and ‘b’ is also greater than ‘c’ (b>a && b>c) then go to step 6 otherwise go to step 7.

Step 6: Output ‘b’.

Step 7: Output ‘c’.

Step 8: Stop.

 

7. Algorithm to assign grade to a subject based on the achieved marks. 

Example Grade Thresholds:

A: 90-100

B: 80-89

C: 70-79

D: 60-69

F: below 60

Step 1: Start

Step 2: Ask the user to input their achieved marks (M).

Step 3: If marks are greater than or equal to 90 and less than or equal to hundred (90<=M<=100) then go to Step 4; otherwise go to Step 5.

Step 4: Output ‘A’.

Step 5: If marks are greater than or equal to 80 and less than or equal to 89 (80<=M<=89) then go to Step 6; otherwise go to Step 7.

Step 6: Output ‘B’.

Step 7: If marks are greater than or equal to 70 and less than or equal to 79 (70<=M<=79) then go to Step 8; otherwise go to Step 9.

Step 8: Output ‘C’.

Step 9: If marks are greater than or equal to 60 and less than or equal to 69 (60<=M<=69) then go to Step 10; otherwise go to Step 11.

Step 10: Output ‘D’

Step 11: If marks are less than 60 (M<60) then go to Step 12.

Step 12: Output ‘F’.

Step 13: Stop.

8. Algorithm to find the interest on an amount. 

To find the interest on an amount, you need to know the principal amount (initial amount), the interest rate, and the time period for which the interest is calculated.

 The formula for calculating simple interest is:

 Interest = (P * R * T) / 100

Step 1: Start

Step 2: Input Principal amount (P), Interest rate (R) and Time period (T).

Step 3: Calculate the interest rate using the formula: I=(P*R*T)/100.

Step 4:  Output I (Interest).

Step 5: Stop.

 

 

Cognitive Level: Application