Unit Test: Number Play | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download

Time: 1 hour

M.M. 30

Attempt all questions.

• Question numbers 1 to 5 carry 1 mark each.
• Question numbers 6 to 8 carry 2 marks each.
• Question numbers  9 to 11 carry 3 marks each.
• Question number 12 & 13 carry 5 marks each.

Q1.What is the parity of the sum of an odd number of odd numbers and an even number of even numbers? (1 Mark)
A) Always odd
B) Always even
C) Depends on the specific numbers chosen
D) Sometimes odd, sometimes even

Q2. What is the parity of the number of small squares in a 7 × 9 grid? (1 Mark)
A) Even
B) Odd
C) Depends on the grid layout
D) Cannot be determined

Q3. In a cryptarithm where X + X = YX, where X and Y are digits and YX is a two-digit number, what is the value of Y? (1 Mark)

A) 0
B) 1
C) 2
D) 3

 Q4. How many ways can 5 be expressed as a sum of 1s and 2s (e.g., 1+1+1+1+1, 2+1+2)? (1 Mark)

A) 5
B) 8
C) 7
D) 13

Q5. In the Virahanka-Fibonacci sequence (1, 2, 3, 5, 8, 13, …), what is the parity of the 9th term? (1 Mark)

A) Odd
B) Even
C) Depends on the starting terms
D) Cannot be determined

Q6. In the Virahanka-Fibonacci sequence (1, 2, 3, 5, 8, 13, …), what is the parity of the 8th term? (2 Mark)

​Q7. What is the 20th odd number in the sequence 1, 3, 5, 7, …?  (2 Mark)

​Q8. What is the parity of the number of small squares in a 5 × 8 grid?  (2 Mark)

​Q9. In a cryptarithm where K + K = MK, where K and M are digits and MK is a two-digit number, what is the value of M?  (3 Mark)

​Q10. A door is initially locked. Tashi toggles the lock 50 times, where each toggle switches the door’s state (from locked to unlocked or unlocked to locked). Will the door be locked or unlocked at the end? Explain why. (3 Mark)

​Q11. Solve this cryptarithm:  (3 Mark)

​Q12. Arjun has an odd number of ₹1 coins, an odd number of ₹5 coins, and an even number of ₹10 coins in his piggy bank. He calculated the total and got ₹205. Did he make a mistake? If he did, explain why. If he didn’t, how many coins of each type could he have? (5 Mark)

​Q13. Two consecutive numbers in the Virahānka sequence are 987 and 1597. What are the next 2 numbers in the sequence? What are the previous 2 numbers in the sequence?  (5 Mark)

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