Worksheet: Framing Algebraic Expressions | Mathematics Class 6 ICSE PDF Download

A. Multiple-Choice Questions 

Q1. Which expression means “three times a number p increased by 5”?
(a) 3p − 5
(b) 3 + 5p
(c) 5p + 3
(d) 3p + 5

Q2. The perimeter of a rectangle with length l and breadth b is:
(a) l + b
(b) 2lb
(c) 2(l + b)
(d) l² + b²

Q3. Evaluate xy/m when x = 4, y = 15, m = 5.

(a) 8
(b) 10
(c) 12
(d) 20

Q4. Which formula gives the surface area of a cube of edge a?

(a) 4a
(b) a²
(c) 6a
(d) 6a²

Q5. Use F = (9/5)C + 32. What is F when C = 30?

(a) 54°F

(b) 62°F

(c) 86°F

(d) 90°F

B.Short Answer Questions 

Q6. Write an expression for “twice the sum of x and 7”.

Q7. A rectangle has l = 12 cm and b = 7 cm. Find its perimeter.

Q8. Evaluate 3x²y when x = 2 and y = 5.

Q9. Let m = −3. 
Find 
(i) 2m + 21,
(ii) m² + 9m.

Q10. A worker’s base pay is B for t hours. Overtime rate is R per hour. If total hours are T, write W and then find W when B = 1200, t = 30, R = 50, T = 36.

C. Long Answer Questions 

Q11. A rectangle has length (x + 4) cm and breadth (x − 1) cm.

(a) Write Perimeter in terms of x.

(b) Write Area in terms of x.

(c) Find Perimeter and Area when x = 6.

Q12. Let a = −3, b = 4, m = 2.

(a) Find S = a + b − m.

(b) Find Q = (a × b) ÷ m.

(c) Find B = 2a² − b².

Q13. A person’s weekly base pay is B = 1500 for t = 35 hours. Overtime rate is R = 60 per hour. In one week they work T = 42 hours.

(a) Write a formula for total wages W and find its value.

(b) The same day, the outdoor temperature is C = 28°C. Convert this to Fahrenheit using F = (9/5)C + 32.

You can access the solutions of this worksheet here