MCQ test, Set 1

Set 1 of 10
25 questions
25 marks
30 minutes

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

$5 \times 5 \times 5$ in power form is
A $5^3$ B $3^{5}$ C $5^2$ D $15$

Answer and solution

Answer: (A) $5^3$

5 is multiplied by itself 3 times.

$\therefore 5 \times 5 \times 5 = 5^3$
$q^3$ means
A $q \times q \times q$ B $q \times q$ C $3 \times q$ D $3 \times q \times q$

Answer and solution

Answer: (A) $q \times q \times q$

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

$q^3 = q \times q \times q$
How is $z^3$ read?
A $z$ plus 3 B 3 times $z$ C $z$ cubed D $z$ squared

Answer and solution

Answer: (C) $z$ cubed

$z^3 = z \times z \times z$ is read as ' $z$ power 3' (or) ' $z$ cubed'.
Which number, when cubed, gives 512?
A $9$ B $64$ C $7$ D $8$

Answer and solution

Answer: (D) $8$

$8 \times 8 \times 8 = 512$

So 512 is the cube of 8.
Which of these is the cube of a whole number?
A $216$ B $100$ C $200$ D $36$

Answer and solution

Answer: (A) $216$

$216 = 6 \times 6 \times 6 = 6^3$

The other numbers are not in the table of cubes.
The next number in $125, 216, 343, 512, \ldots$ is
A $1000$ B $729$ C $81$ D $681$

Answer and solution

Answer: (B) $729$

These are $5^3$ , $6^3$ , $7^3$ , $8^3$ .

Next is $9^3 = 729$
A big cube is made of small cubes, with 4 small cubes along each edge. How many small cubes are there?
A $16$ B $96$ C $64$ D $12$

Answer and solution

Answer: (C) $64$

Each layer has $4 \times 4$ cubes and there are 4 layers.

Number = $4^3 = 64$
$11^3 =$
A $121$ B $1000$ C $1331$ D $33$

Answer and solution

Answer: (C) $1331$

$11 \times 11 = 121$

$121 \times 11 = 1331$
To find $14^3$ , Rani first works out $14 \times 14 = 196$ . What should she do next?
A $196 \times 196$ B $196 \times 14$ C $14 \times 3$ D $196 \times 3$

Answer and solution

Answer: (B) $196 \times 14$

$14^3 = 14 \times 14 \times 14$ , so the product $196$ must be multiplied by 14 once more.

$196 \times 14 = 2744$
$30^3 =$
A $27000$ B $900$ C $90$ D $2700$

Answer and solution

Answer: (A) $27000$

$30 \times 30 = 900$

$900 \times 30 = 27000$
$(-x)^3 =$
A $x^2$ B $-x^3$ C $-3x^3$ D $-3x$

Answer and solution

Answer: (B) $-x^3$

$(-x)^3 = (-x) \times (-x) \times (-x) = -x^3$
The cube of a negative number is always
A zero B negative C sometimes positive, sometimes negative D positive

Answer and solution

Answer: (B) negative

$(-k)^3 = -k^3$ : a negative number multiplied 3 times gives a negative number.
Which number, multiplied by itself 3 times, gives $-729$ ?
A $-10$ B $-243$ C $-81$ D $-9$

Answer and solution

Answer: (D) $-9$

$(-9)^3 = -9^3 = -729$
$2^3 + 3^3 =$
A $15$ B $13$ C $125$ D $35$

Answer and solution

Answer: (D) $35$

$2^3 + 3^3 = 8 + 27$

$= 35$
The sum of the cubes of 2 and 6 is
A $224$ B $512$ C $24$ D $40$

Answer and solution

Answer: (A) $224$

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

$= 224$
$1^3 + 2^3 + 3^3 + 4^3 =$
A $36$ B $30$ C $100$ D $1000$

Answer and solution

Answer: (C) $100$

$1^3 + 2^3 + 3^3 + 4^3 = 1 + 8 + 27 + 64$

$= 100$
$5^3 + (-2)^3 =$
A $133$ B $27$ C $117$ D $21$

Answer and solution

Answer: (C) $117$

$5^3 + (-2)^3 = 125 + (-8)$

$= 125 - 8$

$= 117$
$(-3)^3 + (-5)^3 =$
A $-34$ B $-512$ C $98$ D $-152$

Answer and solution

Answer: (D) $-152$

$(-3)^3 + (-5)^3 = -27 + (-125)$

$= -27 - 125$

$= -152$
$(-3)^3 + 6^3 =$
A $243$ B $189$ C $9$ D $27$

Answer and solution

Answer: (B) $189$

$(-3)^3 + 6^3 = -27 + 216$

$= 189$
$3^3 - 7^3 =$
A $-316$ B $-64$ C $-40$ D $-370$

Answer and solution

Answer: (A) $-316$

$3^3 - 7^3 = 27 - 343$

$= -316$
$9^3 - 4^3 =$
A $125$ B $665$ C $65$ D $793$

Answer and solution

Answer: (B) $665$

$9^3 - 4^3 = 729 - 64$

$= 665$
What must be added to $5^3$ to get $7^3$ ?
A $468$ B $218$ C $24$ D $8$

Answer and solution

Answer: (B) $218$

Required number = $7^3 - 5^3$

$7^3 - 5^3 = 343 - 125$

$= 218$
$3^3 - (-3)^3 =$
A $0$ B $27$ C $216$ D $54$

Answer and solution

Answer: (D) $54$

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

$= 27 + 27$

$= 54$
$-4^3 - 5^3 =$
A $-41$ B $61$ C $-189$ D $-729$

Answer and solution

Answer: (C) $-189$

$-4^3 - 5^3 = -64 - 125$

$= -189$
$(-1)^3 \times (-6)^3 =$
A $18$ B $36$ C $-217$ D $216$

Answer and solution

Answer: (D) $216$

$(-1)^3 = -1$ , $(-6)^3 = -216$

$(-1) \times (-216) = 216$

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MCQ test, Set 1