Now, lets have a look at Class 7, Chapter 4 in maths Expressions Using Letter Numbers. In this chapter, you’ll learn how letters and numbers combine to form powerful algebraic expressions. You’ll be practicing multiple-choice questions with four options and answers. You’ll also be solving fill-in-the-blank questions that check your memory of rules, formulas, and tricky details.
Class 7 Maths Chapter 4 MCQ Expressions Using Letter Numbers
Question 1: If Aftab’s age is ‘a’, then Shabnam’s age being 3 years older is expressed as ___.
a) a – 3
b) a + 3
c) 3a
d) a ÷ 3
Answer:
b) a + 3
Question 2: If Shabnam’s age is ‘s’, Aftab’s age being 3 years younger can be written as ___.
a) s – 3
b) s + 3
c) 3s
d) s ÷ 3
Answer:
a) s – 3
Question 3: The number of matchsticks required to make n L-shapes is expressed as ___.
a) n + 2
b) n²
c) 2n
d) n – 2
Answer:
c) 2n
Question 4: The cost expression for c coconuts (₹35 each) and j kg jaggery (₹60 each) is ___.
a) 35c + 60j
b) 35 + 60(c + j)
c) (c + j) ÷ 60
d) 35 + j
Answer:
a) 35c + 60j
Question 5: The perimeter of a square with side ‘q’ is written as ___.
a) 2q
b) 3q
c) 4q
d) q²
Answer:
c) 4q
Question 6: The perimeter of a rectangle with length l and breadth b is ___.
a) l + b
b) 2l + 2b
c) l² + b²
d) lb
Answer:
b) 2l + 2b
Question 7: If pencils cost c and erasers cost d, then the money earned on Day 1 with 5 pencils and 4 erasers is ___.
a) 5c + 4d
b) 5 + 4(c + d)
c) c + d + 20
d) 5cd + 4
Answer:
a) 5c + 4d
Question 8: Simplifying 5c + 3c + 10c gives ___.
a) 18c
b) 15c
c) 10c
d) 5c
Answer:
a) 18c
Question 9: The simplified expression of (40x + 75y) – (6x + 10y) is ___.
a) 34x + 65y
b) 40x – 75y
c) 46x + 85y
d) 6x + 10y
Answer:
a) 34x + 65y
Question 10: Charu’s total score after three rounds given by (7p – 3q) + (8p – 4q) + (6p – 2q) simplifies to ___.
a) 19p – 8q
b) 21p – 9q
c) 15p – 7q
d) 23p – 9q
Answer:
b) 21p – 9q
Question 11: Simplify 4(x + y) – y.
a) 4x + 3y
b) 4x + 4y
c) 4x – y
d) x + 3y
Answer:
a) 4x + 3y
Question 12: Are 5u and 5 + u equal expressions?
a) Yes, always equal
b) Equal only if u = 0
c) Equal only if u = 5
d) Not equal in general
Answer:
d) Not equal in general
Question 13: The nth term of the sequence 4, 8, 12, 16… is ___.
a) n + 4
b) 4n
c) n – 4
d) 2n
Answer:
b) 4n
Question 14: The simplified form of l + b + l + b is ___.
a) 2(l + b)
b) l² + b²
c) l + b
d) lb
Answer:
a) 2(l + b)
Question 15: If v = 5, the expression 4v + 3v simplifies to ___.
a) 15
b) 20
c) 25
d) 35
Answer:
c) 25
Question 16: The distributive property is used in ___.
a) 5(c + d) = 5c + 5d
b) c + d = d + c
c) (c + d) + e = c + (d + e)
d) c – d = d – c
Answer:
a) 5(c + d) = 5c + 5d
Question 17: The area of a rectangle split into two smaller rectangles is expressed as ___.
a) sum of areas of smaller rectangles
b) difference of areas of smaller rectangles
c) product of areas of smaller rectangles
d) half the area of larger rectangle
Answer:
a) sum of areas of smaller rectangles
Question 18: Simplify (4x + 3y) – (3x + 4y).
a) x + y
b) 7x – y
c) 3x + y
d) x – y
Answer:
a) x + y
Question 19: The formula for the nth occurrence of design C in the saree border is ___.
a) 2n
b) 3n
c) 3n – 1
d) 3n – 2
Answer:
b) 3n
Question 20: If position number = 3n – 1, the saree design is ___.
a) A
b) B
c) C
d) D
Answer:
b) B
Question 21: In any 2×2 square in a calendar, the sum of diagonals is expressed as ___.
a) 2a + 4
b) 2a + 8
c) a² + 8
d) 2a – 8
Answer:
b) 2a + 8
Question 22: In a matchstick triangle pattern, Step y requires ___ matchsticks.
a) 2y + 1
b) 3y – 2
c) y²
d) y + 2
Answer:
a) 2y + 1
Question 23: The nth term formula for Step y in the matchstick triangle problem is simplified as ___.
a) 3 + 2(y – 1)
b) 2y + 1
c) Both a and b
d) y² + 1
Answer:
c) Both a and b
Question 24: The time taken by a mill to grind y kg of grain is expressed as ___.
a) 10 + 8y
b) (10 + 8) × y
c) 10y + 8
d) 10 × 8 × y
Answer:
a) 10 + 8y
Question 25: The nth term of sequence 3, 5, 7, 9… is ___.
a) 2n + 1
b) 3n
c) n²
d) 2n – 1
Answer:
a) 2n + 1
Question 26: Simplify 3a + 9b – 6 + 8a – 4b – 7a + 16.
a) 4a + 5b + 10
b) 2a + 5b + 10
c) 4a + b + 10
d) 2a + 5b + 22
Answer:
b) 2a + 5b + 10
Question 27: Simplify 2(2x – 3) + 8x + 12.
a) 12x + 6
b) 12x – 6
c) 8x + 6
d) 4x – 6
Answer:
a) 12x + 6
Question 28: Simplify 8h – (5 + 7h) + 9.
a) h + 4
b) h + 14
c) h – 4
d) h + 2
Answer:
b) h + 14
Question 29: If rope folded r times is cut, the number of pieces is ___.
a) r + 1
b) 2r
c) r² + 1
d) r – 1
Answer:
a) r + 1
Question 30: The sum of numbers in the “cross-shape” calendar problem is always ___ times the centre number.
a) 3
b) 4
c) 5
d) 6
Answer:
c) 5
Question 31: The simplified form of 23 + 4(6m – 3n) – 8n – 3m – 18 is ___.
a) 21m – 20n + 5
b) 21m – 20n
c) 21m – 8n
d) 23m – 20n + 5
Answer:
a) 21m – 20n + 5
Question 32: If Pushpita gave away flags to p, q, and r customers, the expression is ___.
a) p + q + r
b) p + q + 2r
c) 2p + q + r
d) p + q
Answer:
a) p + q + r
Question 33: In a traffic signal sequence, the pattern repeats every ___ steps.
a) 2
b) 3
c) 4
d) 5
Answer:
b) 3
Question 34: In the 4-column endless number grid, the expression for numbers in column 3 is ___.
a) 4n + 1
b) 4n – 1
c) 4n – 2
d) 4n
Answer:
c) 4n – 2
Question 35: The expression for the nth term in square pattern with 4 extra each time is ___.
a) 4n – 3
b) n²
c) 5n
d) 4n + 1
Answer:
a) 4n – 3
Fill in the blanks on Expressions Using Letter Numbers for Class 7 Maths
1. If Aftab’s age is a years, then Shabnam’s age being 3 years older is ___.
Answer:
a + 3
2. The perimeter of a square with side q units is ___.
Answer:
4q
3. The perimeter of a rectangle with length l and breadth b is ___.
Answer:
2l + 2b
4. If the cost of one pen is p rupees and one pencil is c rupees, then the total cost of 3 pens and 2 pencils is ___.
Answer:
3p + 2c
5. The simplified form of 6x + 7y – 3x + 2y is ___.
Answer:
3x + 9y
6. The simplified form of (12m + 5n) – (3m + 2n) is ___.
Answer:
9m + 3n
7. The distributive property is expressed as a(b + c) = ___.
Answer:
ab + ac
8. The distributive property of subtraction is shown by a(b – c) = ___.
Answer:
ab – ac
9. The nth term of the sequence 2, 4, 6, 8… is ___.
Answer:
2n
10. The nth term of the sequence 3, 5, 7, 9… is ___.
Answer:
2n + 1
11. The simplified form of 5x + 7x – 3x is ___.
Answer:
9x
12. The expression 2(l + b) represents the ___ of a rectangle.
Answer:
perimeter
13. The expression l × b represents the ___ of a rectangle.
Answer:
area
14. If Rahul’s father is 4 years more than three times Rahul’s age r, his father’s age is ___.
Answer:
3r + 4
15. If one notebook costs n rupees, the cost of 7 notebooks is ___.
Answer:
7n
16. The simplified form of 2a + 3b + 4a – 2b is ___.
Answer:
6a + b
17. If a box contains k pencils, then the total number of pencils in 8 such boxes is ___.
Answer:
8k
18. The nth term of the sequence 5, 10, 15, 20… is ___.
Answer:
5n
