CBSE Class 7 Mathematics Expressions using Letter Numbers MCQs Set 01

Question. The diagonal sum for a 2 × 2 calendar square is a + (a + 8). The simplified expression is?
(a) 2a
(b) a + 8
(c) 2a + 8
(d) 8a

Answer: C

Question. Geeta earns ₹ x per month and saves ₹ y per month. Her monthly expenditure (in ₹) is
(a) x + y
(b) x ÷ y
(c) x × y
(d) x – y

Answer: D

Question. The other diagonal sum in a 2 × 2 calendar square is (a + 1) + (a + 7). The final simplified expression is?
(a) a + 1 + 7
(b) 2a + 8
(c) 2a + 18
(d) 8a

Answer: B

Question. Since both diagonal sums equal 2a + 8, this confirms that diagonal sums in a 2 × 2 calendar square are always what?
(a) Constant values
(b) Equal to each other
(c) Multiples of 2
(d) Different values

Answer: B

Question. For a set of numbers in a calendar shaped like a cross (five numbers), if the center number is ‘a', the sum of all five numbers is always 5 times the center number. This sum is always a multiple of which number?,
(a) 2
(b) 3
(c) 5
(d) 7

Answer: C

Question. Look at the 2 × 3 calendar grid shown. If the date in the bottom middle cell is 'w', the date in the cell directly above 'w' is?
(a) w - 1
(b) w + 7
(c) w - 7
(d) w + 1

Answer: C

Question. In the matchstick triangle pattern, Step 1 needs 3 sticks, Step 2 needs 5 sticks. The pattern shows the number of matchsticks increases by how much every time?
(a) 1
(b) 2
(c) 3
(d) 5

Answer: B

Question. The perimeter of a regular decagon having side length x units, is
(a) 10 x units
(b) 11 x units
(c) 12 x units
(d) 7 x units

Answer: A

Question. If 'y' is the step number for the matchstick triangle pattern, one formula is 3 + 2 x (y - 1). This expression simplifies to which other formula?
(a) 3y - 2
(b) 2y + 1
(c) 3y + 2
(d) 3y + 1

Answer: B

Question. Find the number of matchsticks needed for Step 4 of the triangle pattern, using the simplified expression 2y + 1.
(a) 7
(b) 9
(c) 11
(d) 13

Answer: B

Question. The matchstick formula is 2y + 1. How many matchsticks are needed for Step 33?
(a) 66
(b) 67
(c) 34
(d) 35

Answer: B

Question. In the triangle matchstick pattern, the horizontal sticks are equal to the step number y. How many horizontal sticks are there in Step 3?
(a) 2
(b) 4
(c) 3
(d) 5

Answer: C

Question. In the triangle matchstick pattern, the number of diagonal sticks is y + 1. How many diagonal sticks are there in Step 3?
(a) 3
(b) 5
(c) 4
(d) 6

Answer: C

Question. The total matchsticks in Step y is the sum of horizontal (y) and diagonal (y+1) matchsticks. This total confirms the total formula 2y + 1. The sum y + (y+1) simplifies to?
(a) y + 1
(b) y² + y
(c) 2y + 1
(d) 2y

Answer: C

Question. If Mukesh has 2 notes of ₹ 100, 5 notes of ₹ 20 and 6 notes of ₹ 5, then the correct expression representing his amount is
(a) 2 × 100 + 20 × 6 + 5 × 5
(b) 20 × 2 + 100 × 6 + 5 × 5
(c) 100 × 2 + 5 × 20 + 6 × 5
(d) 5 × 100 + 20 × 5 + 6 × 5

Answer: C

Question. A number machine formula is 'two times the first number minus the second number'. If the inputs (a, b) are (10, 4), the output result is?
(a) 6
(b) 16
(c) 24
(d) 104

Answer: B

Question. The algebraic expression for the machine formula 'two times the first number minus the second number' using letters 'a' and 'b' is?
(a) a - 2b
(b) 2a - b
(c) 2(a - b)
(d) 2a + b

Answer: B

Question. An expression is 4x + 3y. If x=2 and y=5, the value of the expression is?
(a) 14
(b) 23
(c) 17
(d) 8

Answer: B

Question. To simplify 4(x + y) - y, we must use the distributive property first. The expression becomes what before grouping like terms?
(a) 4x + y – y
(b) 4x + 4y – y
(c) 4x + 4y - 4y
(d) x + y - y

Answer: B

Question. The simplest form of the expression 4(x + y) - y is?
(a) 4x + 5y
(b) 4x + 3y
(c) 4x - 3y
(d) x + 3y

Answer: B