Unit Test: Number Play | Mathematics Class 8- New NCERT (Ganita Prakash) 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: Which of the following expressions is always even for any integer values?  (1 Mark)
a) 2a + 2b
b) 3g + 5h
c) b²
d) x + 1

Q2: If two numbers are both divisible by 8, then which of the following is true?  (1 Mark)
a) Their sum is always divisible by 8
b) Their difference is always divisible by 8
c) Both (a) and (b)
d) Neither (a) nor (b)

Q3:  If a number is divisible by both 9 and 4, then it must also be divisible by:  (1 Mark)
a) 12
b) 18
c) 36
d) 72

Q4: Which of the following is the digital root of 489710?  (1 Mark)
a) 1
b) 2
c) 9
d) 7

Q5: The divisibility rule for 11 states that:  (1 Mark)
a) The sum of digits should be divisible by 11
b) The difference between the sum of digits at odd and even places should be divisible by 11
c) The unit digit should be 1 or 11
d) The number should end with digit 0 or 1

Q6: Farmer Karan keeps eggs in crates of 4. If he has 236, 412, 768, and 995 eggs, which totals can be exactly divided into crates?   (2 Marks)

Q7: Aarav has one basket with an even number of bananas and another with an odd number. When he mixes them, will the total be even, odd, or both?  (2 Marks)

Q8: In a board game, each forward move = 4 steps, each backward move = 5 steps. Starting at 0, can you land on an odd square?  (2 Marks)

Q9: A fruit seller has 21 oranges. He wants to arrange them in baskets such that each basket has consecutive natural numbers of oranges. Find two different ways.  (3 Marks)

Q10: Aarav and Meera are solving a number puzzle. They discover the number 864 and want to check if it’s divisible by 2, 3, 4, 6, 8, and 9 without doing actual division.  (3 Marks)

Q11: Four friends — Neha, Dev, Ritu, and Sam — are arranging tiles numbered consecutively starting from 11. They can add (+) or subtract (–) the numbers. No matter how they do it, the total is always even.
Tiles: 11, 12, 13, 14.
List all possible sums and check the pattern.  (3 Marks)

Q12: The school has 5 buses numbered: 132, 225, 450, 720, and 835.
The headmaster says:

• Buses divisible by 3 → red sticker

• Buses divisible by 5 → green sticker

Which buses get which stickers? Can any bus get both?  (5 Marks)

​You can access the solutions to this Unit Test here.