1,071 practice questions for CBSE Class 6 Mathematics, organised by NCERT chapter (10 chapters). Every question includes a written explanation. Pick a chapter below, or try the samples first.
Which number appears in the Collatz sequence starting from $6$?
A$7$
B$9$
C$10$
D$12$
Show answer and explanation
Correct answer: C - $10$
The chain runs $6 \to 3 \to 10 \to 5 \to 16 \to 8 \to 4 \to 2 \to 1$, so $10$ appears. The numbers $12$, $9$ and $7$ never occur in this chain.
Q2
medium
A shop sells $146$ pens on Monday and $189$ on Tuesday. How many pens in all?
A$335$
B$345$
C$325$
D$330$
Show answer and explanation
Correct answer: A - $335$
Adding the hundreds and tens first, $146 + 189 = 146 + 200 - 11 = 335$. Answering $325$ or $345$ is out by ten, and $330$ is out by five.
Q3
medium
Consider these statements. (i) Every composite number is even. (ii) Every prime number greater than $2$ is odd. Which is or are correct?
AOnly (i)
BBoth (i) and (ii)
CNeither (i) nor (ii)
DOnly (ii)
Show answer and explanation
Correct answer: D - Only (ii)
Statement (i) is false, since $9$ and $15$ are odd composites. Statement (ii) is true, because any even number above $2$ has $2$ as an extra factor and cannot be prime. So only (ii) holds.
Q4
medium
Where does $\frac{13}{5}$ lie on the number line?
ABetween $1$ and $2$
BBetween $2$ and $3$
CBetween $3$ and $4$
DBetween $12$ and $13$
Show answer and explanation
Correct answer: B - Between $2$ and $3$
Since $\frac{13}{5} = 2\frac{3}{5}$, it lies between $2$ and $3$. Dividing $13$ by $5$ gives $2$ wholes with $3$ left over, so it is neither below $2$ nor above $3$.
Q5
medium
A regular polygon is made from $8$ matchsticks of equal length, one per side. What is the shape called?
AA regular hexagon
BA regular octagon
CA regular decagon
DA regular heptagon
Show answer and explanation
Correct answer: B - A regular octagon
Eight equal sides make a regular octagon. A heptagon has $7$ sides, a hexagon $6$, and a decagon $10$, so none of those could be built from exactly $8$ matchsticks one per side.
Q6
easy
Which of these is measured in square metres?
AThe length of a corridor
BThe floor space of a classroom
CThe distance around a field
DThe height of a door
Show answer and explanation
Correct answer: B - The floor space of a classroom
Floor space is an area, so it is measured in square metres. Corridor length, door height and the distance round a field are all lengths, measured in plain metres.
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