MCQ test, Set 9

Set 9 of 10
25 questions
25 marks
30 minutes

Download the PDF (with key sheet and solutions, 72.2 KB)

Choose one answer for each question, then check your score at the end. Each correct answer carries 1 mark; there is no negative marking.

$9 \times 9 \times 9$ in power form is
A $27$ B $9^3$ C $9^2$ D $3^{9}$

Answer and solution

Answer: (B) $9^3$

9 is multiplied by itself 3 times.

$\therefore 9 \times 9 \times 9 = 9^3$
$r^3$ means
A $3 \times r$ B $r \times r$ C $r \times r \times r$ D $3 \times r \times r$

Answer and solution

Answer: (C) $r \times r \times r$

The power 3 means $r$ is multiplied by itself 3 times.

$r^3 = r \times r \times r$
$y^3$ is read as
A $y$ squared B $y$ cubed C $y$ plus 3 D 3 times $y$

Answer and solution

Answer: (B) $y$ cubed

$y^3 = y \times y \times y$ is read as ' $y$ power 3' (or) ' $y$ cubed'.
A big cube is made of small cubes, with 5 small cubes along each edge. How many small cubes are there?
A $15$ B $150$ C $25$ D $125$

Answer and solution

Answer: (D) $125$

Each layer has $5 \times 5$ cubes and there are 5 layers.

Number = $5^3 = 125$
600 lies between
A $8^3$ and $9^3$ B $7^3$ and $8^3$ C $10^3$ and $11^3$ D $9^3$ and $10^3$

Answer and solution

Answer: (A) $8^3$ and $9^3$

$8^3 = 512$ and $9^3 = 729$

$512 < 600 < 729$
The largest cube less than 200 is
A $216$ B $100$ C $125$ D $64$

Answer and solution

Answer: (C) $125$

From the table: $5^3 = 125$ and $6^3 = 216$

$125 < 200 < 216$ , so the largest cube below 200 is 125.
The smallest cube greater than 250 is
A $300$ B $512$ C $216$ D $343$

Answer and solution

Answer: (D) $343$

From the table: $6^3 = 216$ and $7^3 = 343$

$216 < 250 < 343$ , so the smallest cube above 250 is 343.
$17^3 =$
A $289$ B $51$ C $4913$ D $4096$

Answer and solution

Answer: (C) $4913$

$17 \times 17 = 289$

$289 \times 17 = 4913$
A cube-shaped stack has 14 small cubes along each edge. The number of small cubes in it is
A $2744$ B $1176$ C $196$ D $168$

Answer and solution

Answer: (A) $2744$

Number = $14^3$

$14 \times 14 = 196$ , $196 \times 14 = 2744$
$14^3 = 196 \times \square$ . The number in the box is
A $3$ B $14$ C $196$ D $2$

Answer and solution

Answer: (B) $14$

$14^3 = 14 \times 14 \times 14$ and $14 \times 14 = 196$

$\therefore 14^3 = 196 \times 14$
$(-4)^3 =$
A $16$ B $-12$ C $-64$ D $-48$

Answer and solution

Answer: (C) $-64$

$(-4)^3 = (-4) \times (-4) \times (-4)$

$= 16 \times (-4) = -64$
Which number, multiplied by itself 3 times, gives $-125$ ?
A $-25$ B $-4$ C $-5$ D $-6$

Answer and solution

Answer: (C) $-5$

$(-5)^3 = -5^3 = -125$
$(-60)^3 =$
A $-216000$ B $-21600$ C $3600$ D $-180$

Answer and solution

Answer: (A) $-216000$

$(-60) \times (-60) = 3600$

$3600 \times (-60) = -216000$
$2^3 + 2^3 =$
A $12$ B $64$ C $8$ D $16$

Answer and solution

Answer: (D) $16$

$2^3 + 2^3 = 8 + 8$

$= 16$
$3^3 + 4^3 + 5^3 + 6^3 =$
A $5832$ B $216$ C $86$ D $432$

Answer and solution

Answer: (D) $432$

$3^3 + 4^3 + 5^3 + 6^3 = 27 + 64 + 125 + 216$

$= 432$
$1^3 + 4^3 + 5^3 =$
A $42$ B $1000$ C $190$ D $30$

Answer and solution

Answer: (C) $190$

$1^3 + 4^3 + 5^3 = 1 + 64 + 125$

$= 190$
$(-b)^3 + b^3 =$
A $0$ B $b^6$ C $2b^6$ D $2b^3$

Answer and solution

Answer: (A) $0$

$(-b)^3 = -b^3$

$-b^3 + b^3 = 0$
$9^3 + (-3)^3 =$
A $702$ B $756$ C $216$ D $72$

Answer and solution

Answer: (A) $702$

$9^3 + (-3)^3 = 729 + (-27)$

$= 729 - 27$

$= 702$
$(-1)^3 + (-5)^3 =$
A $-216$ B $-126$ C $-26$ D $124$

Answer and solution

Answer: (B) $-126$

$(-1)^3 + (-5)^3 = -1 + (-125)$

$= -1 - 125$

$= -126$
By how much is $10^3$ greater than $8^3$ ?
A $36$ B $1512$ C $8$ D $488$

Answer and solution

Answer: (D) $488$

Difference = $10^3 - 8^3$

$10^3 - 8^3 = 1000 - 512$

$= 488$
Ravi says $1^3 - 6^3 = 215$ . The correct value is
A $-215$ B $-125$ C $-35$ D $-217$

Answer and solution

Answer: (A) $-215$

$1^3 - 6^3 = 1 - 216$

$= -215$

Ravi took the smaller cube from the bigger one.
$12^3 - 13^3 =$
A $-469$ B $-1$ C $-25$ D $-3925$

Answer and solution

Answer: (A) $-469$

$13^3 = 169 \times 13 = 2197$

$12^3 - 13^3 = 1728 - 2197$

$= -469$
$7^3 - (-7)^3 =$
A $0$ B $686$ C $2744$ D $343$

Answer and solution

Answer: (B) $686$

$7^3 - (-7)^3 = 343 - (-343)$

$= 343 + 343$

$= 686$
$(-3)^3 \times 4^3 =$
A $37$ B $-1728$ C $144$ D $-36$

Answer and solution

Answer: (B) $-1728$

$(-3)^3 = -27$ , $4^3 = 64$

$(-27) \times 64 = -1728$
$12^3 \div 4^3 =$
A $3$ B $512$ C $1664$ D $27$

Answer and solution

Answer: (D) $27$

$12^3 = 1728$ , $4^3 = 64$

$1728 \div 64 = 27$

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MCQ test, Set 9