MCQ test, Set 8

Set 8 of 10
25 questions
25 marks
30 minutes

Download the PDF (with key sheet and solutions, 71.2 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.

How is $b^3$ read?
A $b$ cubed B $b$ squared C $b$ plus 3 D 3 times $b$

Answer and solution

Answer: (A) $b$ cubed

$b^3 = b \times b \times b$ is read as ' $b$ power 3' (or) ' $b$ cubed'.
$4 \times 4 \times 4 = 4^{\square}$ . The number in the box is
A $4$ B $2$ C $12$ D $3$

Answer and solution

Answer: (D) $3$

4 is multiplied by itself 3 times, so the power is 3.

$4 \times 4 \times 4 = 4^3$
$3 \times 3 \times 3 \times 7 \times 7 \times 7$ can be written as
A $3^3 \times 7^3$ B $3^2 \times 7^2$ C $10^3$ D $9 \times 21$

Answer and solution

Answer: (A) $3^3 \times 7^3$

Three 3's multiplied give $3^3$ ; three 7's multiplied give $7^3$ .
How many cubes of whole numbers lie between 1 and 100?
A $4$ B $3$ C $5$ D $2$

Answer and solution

Answer: (B) $3$

From the table of cubes, the cubes between 1 and 100 are $8$ , $27$ , $64$ .

That is 3 cubes.
$10^3 =$
A $30$ B $100$ C $1331$ D $1000$

Answer and solution

Answer: (D) $1000$

$10^3 = 10 \times 10 \times 10 = 1000$
Which number below is a cube?
A $48$ B $16$ C $80$ D $64$

Answer and solution

Answer: (D) $64$

$64 = 4 \times 4 \times 4 = 4^3$

The other numbers are not in the table of cubes.
The next number in $8, 64, 216, 512, \ldots$ is
A $100$ B $1000$ C $1728$ D $808$

Answer and solution

Answer: (B) $1000$

These are $2^3$ , $4^3$ , $6^3$ , $8^3$ .

Next is $10^3 = 1000$
$80^3 =$
A $51200$ B $240$ C $6400$ D $512000$

Answer and solution

Answer: (D) $512000$

$80 \times 80 = 6400$

$6400 \times 80 = 512000$
A big cube is built from small cubes, with 13 small cubes along each edge. How many small cubes does it have?
A $1014$ B $169$ C $156$ D $2197$

Answer and solution

Answer: (D) $2197$

Number = $13^3$

$13 \times 13 = 169$ , $169 \times 13 = 2197$
$18^3 = 324 \times \square$ . The number in the box is
A $324$ B $18$ C $3$ D $2$

Answer and solution

Answer: (B) $18$

$18^3 = 18 \times 18 \times 18$ and $18 \times 18 = 324$

$\therefore 18^3 = 324 \times 18$
$(-q)^3 =$
A $q^2$ B $-q^3$ C $-3q^3$ D $-3q$

Answer and solution

Answer: (B) $-q^3$

$(-q)^3 = (-q) \times (-q) \times (-q) = -q^3$
Which number, multiplied by itself 3 times, gives $-1000$ ?
A $-9$ B $-100$ C $-10$ D $-11$

Answer and solution

Answer: (C) $-10$

$(-10)^3 = -10^3 = -1000$
$(-5)^3 = -\square$ . The number in the box is
A $216$ B $25$ C $15$ D $125$

Answer and solution

Answer: (D) $125$

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

So the box is 125.
$2^3 + 4^3 + 6^3 =$
A $72$ B $56$ C $288$ D $1728$

Answer and solution

Answer: (C) $288$

$2^3 + 4^3 + 6^3 = 8 + 64 + 216$

$= 288$
Two big cubes are made of small cubes, with 3 and 6 small cubes along each edge. How many small cubes are there in the two cubes together?
A $243$ B $270$ C $729$ D $45$

Answer and solution

Answer: (A) $243$

Total = $3^3 + 6^3$

$3^3 + 6^3 = 27 + 216$

$= 243$
The sum of the cubes of 5 and 6 is
A $341$ B $1331$ C $33$ D $61$

Answer and solution

Answer: (A) $341$

$5^3 + 6^3 = 125 + 216$

$= 341$
$7^3 + (-2)^3 =$
A $351$ B $45$ C $335$ D $125$

Answer and solution

Answer: (C) $335$

$7^3 + (-2)^3 = 343 + (-8)$

$= 343 - 8$

$= 335$
$(-1)^3 + (-3)^3 =$
A $-10$ B $-28$ C $-64$ D $26$

Answer and solution

Answer: (B) $-28$

$(-1)^3 + (-3)^3 = -1 + (-27)$

$= -1 - 27$

$= -28$
$(-5)^3 + 7^3 =$
A $218$ B $468$ C $8$ D $24$

Answer and solution

Answer: (A) $218$

$(-5)^3 + 7^3 = -125 + 343$

$= 218$
$1^3 - 7^3 =$
A $-342$ B $-216$ C $-48$ D $-344$

Answer and solution

Answer: (A) $-342$

$1^3 - 7^3 = 1 - 343$

$= -342$
$5^3 - 2^3 =$
A $21$ B $133$ C $117$ D $27$

Answer and solution

Answer: (C) $117$

$5^3 - 2^3 = 125 - 8$

$= 117$
What must be added to $2^3$ to get $9^3$ ?
A $77$ B $737$ C $721$ D $343$

Answer and solution

Answer: (C) $721$

Required number = $9^3 - 2^3$

$9^3 - 2^3 = 729 - 8$

$= 721$
$r^3 - (-r)^3 =$
A $2r$ B $2r^3$ C $0$ D $r^6$

Answer and solution

Answer: (B) $2r^3$

$(-r)^3 = -r^3$

$r^3 - (-r^3) = r^3 + r^3 = 2r^3$
$(-6)^3 - (-4)^3 =$
A $-280$ B $-152$ C $-8$ D $-20$

Answer and solution

Answer: (B) $-152$

$(-6)^3 - (-4)^3 = -216 - (-64)$

$= -216 + 64$

$= -152$
$-2^3 - 3^3 =$
A $-125$ B $-13$ C $-35$ D $19$

Answer and solution

Answer: (C) $-35$

$-2^3 - 3^3 = -8 - 27$

$= -35$

Menu

MCQ test, Set 8