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CBSE · Class 7 · Mathematics

Expressions using Letter-Numbers

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
If y = 10, the value of 7y + 17 is:
  1. 189
  2. 34
  3. 727
  4. 87
2.
11k + 9k equals:
  1. 20k2
  2. 20
  3. 20k
  4. 99k
3.
In 5n, the letter n stands for:
  1. the number 10
  2. nothing
  3. 5
  4. any number
4.
Which expression means "2 less than 9 times a number k"?
  1. 9k − 2
  2. 2k − 9
  3. 2 − 9k
  4. 9(k − 2)
5.
Which of these is a like term of 7p?
  1. 7px
  2. 7x
  3. 7
  4. 14p
6.
The perimeter of an equilateral triangle of side a is:
  1. 6a
  2. 3a
  3. a + 3
  4. 4a
7.
Matchstick squares in a row need 3n + 1 sticks for n squares. For 10 squares you need:
  1. 13
  2. 30
  3. 31
  4. 40
8.
If x = 7 and y = 2, the value of 7x + 9y is:
  1. 67
  2. 77
  3. 144
  4. 25
Section B — Short answer8 × 2 = 16 marks
9.
Simplify (8y + 17) + (11y − 16).
10.
Find 6t + 4 for t = 5, 6 and 7.
11.
Vikram has x marbles. Dev has 11 more than 2 times as many as Vikram. Write an expression for Dev's marbles.
12.
A row of triangles, each sharing a side with the next, is made with matchsticks. Write an expression for the sticks needed for n triangles, then use it for n = 13.
13.
Simplify (14y + 23) − (8y + 5).
14.
Check that 9(x + 4) and 9x + 36 are equal when x = 5.
15.
In a 3 × 3 square of dates on a calendar the middle date is 19. Write the nine dates as expressions in m, and find their sum.
16.
Simplify 9(k + 9) + 6k.
Section C — Word problems4 × 4 = 16 marks
17.
A zoo ticket costs Rs 193 for an adult and Rs 122 for a child. Write an expression for the cost of a adults and c children, then find it for 6 adults and 9 children.
18.
Zoya is a years old. Zoya's mother is 4 years more than 3 times Zoya's age. Write her age as an expression, and find it when Zoya is 10.
19.
A rectangle's length is 15 cm more than its breadth b. Write an expression for its perimeter, and find the perimeter when b = 11 cm.
20.
In a growing pattern, figure n has 2n + 1 tiles. How many tiles are in figure 1, figure 2 and figure 19? How many tiles are added each time?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 7 · Mathematics

Answer key

Expressions using Letter-Numbers · AW-7M-LET-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) 877 × 10 + 17 = 87
2(c) 20k11 + 9 = 20
3(d) any number5n means 5 × n
4(a) 9k − 2—
5(d) 14pthe same letter part
6(b) 3a3 equal sides: 3 × a
7(c) 313 × 10 + 1
8(a) 6749 + 18
919y + 18y + 11y = 19y; 17 − 16 = 1
1034, 40, 46each time it goes up by 6
112x + 112 × x + 11
122n + 1; 27 sticks3 for the first, then 2 for each new one: 3 + 2(n − 1) = 2n + 1
136y + 1814y − 8y = 6y; 23 − 5 = 18
14both are 819 × 9 = 81; 45 + 36 = 81
15m − 8 … m + 8; sum 9m = 171the dates pair up around the middle: the sum is 9 × the middle
1615k + 819k + 81 + 6k
17193a + 122c; Rs 2,256193 × 6 + 122 × 9
183a + 4; 34 years3 × 10 + 4
192(2b + 15) or 4b + 30; 74 cm2 × (b + b + 15)
203, 5, 39; 2 added each time2 × 19 + 1 = 39