MCQ test, Set 6

Set 6 of 10
25 questions
25 marks
30 minutes

Download the PDF (with key sheet and solutions, 67.6 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.

$n^3$ means
A $3 \times n$ B $n \times n$ C $n \times n \times n$ D $3 \times n \times n$

Answer and solution

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

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

$n^3 = n \times n \times n$
The 3 in $n^3$ means that
A 3 is added to $n$ B $n$ is multiplied by itself 3 times C $n$ is multiplied by 3 D $n$ is added to itself 3 times

Answer and solution

Answer: (B) $n$ is multiplied by itself 3 times

$n^3 = n \times n \times n$ : three $n$ 's are multiplied.
$p \times p \times p \times q \times q \times q$ in power form is
A $p^2 \times q^2$ B $3p \times 3q$ C $(p \times q)^6$ D $p^3 \times q^3$

Answer and solution

Answer: (D) $p^3 \times q^3$

$p \times p \times p = p^3$ and $q \times q \times q = q^3$

So it is $p^3 \times q^3$ .
Bricks are stacked in 4 layers, each with 4 rows of 4 bricks. How many bricks are there?
A $20$ B $16$ C $64$ D $12$

Answer and solution

Answer: (C) $64$

Number = $4 \times 4 \times 4$

$= 4^3 = 64$
$5^3 =$
A $125$ B $25$ C $15$ D $216$

Answer and solution

Answer: (A) $125$

$5^3 = 5 \times 5 \times 5 = 125$
Which number, when cubed, gives 1000?
A $10$ B $100$ C $11$ D $9$

Answer and solution

Answer: (A) $10$

$10 \times 10 \times 10 = 1000$

So 1000 is the cube of 10.
Which of these numbers is a cube?
A $150$ B $125$ C $100$ D $25$

Answer and solution

Answer: (B) $125$

$125 = 5 \times 5 \times 5 = 5^3$

The other numbers are not in the table of cubes.
$18^3 =$
A $324$ B $54$ C $4913$ D $5832$

Answer and solution

Answer: (D) $5832$

$18 \times 18 = 324$

$324 \times 18 = 5832$
To find $19^3$ , Rani first works out $19 \times 19 = 361$ . What should she do next?
A $361 \times 19$ B $361 \times 361$ C $361 \times 3$ D $19 \times 3$

Answer and solution

Answer: (A) $361 \times 19$

$19^3 = 19 \times 19 \times 19$ , so the product $361$ must be multiplied by 19 once more.

$361 \times 19 = 6859$
$60^3 =$
A $180$ B $21600$ C $216000$ D $3600$

Answer and solution

Answer: (C) $216000$

$60 \times 60 = 3600$

$3600 \times 60 = 216000$
$(-n)^3 =$
A $-3n^3$ B $-3n$ C $n^2$ D $-n^3$

Answer and solution

Answer: (D) $-n^3$

$(-n)^3 = (-n) \times (-n) \times (-n) = -n^3$
$(-14) \times (-14) \times (-14) =$
A $-588$ B $196$ C $-42$ D $-2744$

Answer and solution

Answer: (D) $-2744$

$(-14) \times (-14) = 196$

$196 \times (-14) = -2744$
$(-50)^3 =$
A $-125000$ B $2500$ C $-150$ D $-12500$

Answer and solution

Answer: (A) $-125000$

$(-50) \times (-50) = 2500$

$2500 \times (-50) = -125000$
The sum of the cubes of 3 and 7 is
A $370$ B $30$ C $1000$ D $58$

Answer and solution

Answer: (A) $370$

$3^3 + 7^3 = 27 + 343$

$= 370$
$1^3 + 3^3 + 5^3 =$
A $35$ B $729$ C $28$ D $153$

Answer and solution

Answer: (D) $153$

$1^3 + 3^3 + 5^3 = 1 + 27 + 125$

$= 153$
$2^3 + 2^3 + 3^3 =$
A $43$ B $343$ C $21$ D $17$

Answer and solution

Answer: (A) $43$

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

$= 43$
$2^3 + (-6)^3 =$
A $224$ B $-208$ C $-64$ D $-32$

Answer and solution

Answer: (B) $-208$

$2^3 + (-6)^3 = 8 + (-216)$

$= 8 - 216$

$= -208$
$(-1)^3 + (-6)^3 =$
A $-37$ B $-217$ C $-343$ D $215$

Answer and solution

Answer: (B) $-217$

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

$= -1 - 216$

$= -217$
$(-2)^3 + 8^3 =$
A $520$ B $216$ C $504$ D $60$

Answer and solution

Answer: (C) $504$

$(-2)^3 + 8^3 = -8 + 512$

$= 504$
Ravi says $3^3 - 5^3 = 98$ . The correct value is
A $-8$ B $-16$ C $-152$ D $-98$

Answer and solution

Answer: (D) $-98$

$3^3 - 5^3 = 27 - 125$

$= -98$

Ravi took the smaller cube from the bigger one.
$9^3 - 11^3 =$
A $-40$ B $-8$ C $-602$ D $-2060$

Answer and solution

Answer: (C) $-602$

$11^3 = 121 \times 11 = 1331$

$9^3 - 11^3 = 729 - 1331$

$= -602$
$4^3 - 9^3 =$
A $-65$ B $-665$ C $-793$ D $-125$

Answer and solution

Answer: (B) $-665$

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

$= -665$
$9^3 - (-9)^3 =$
A $1458$ B $729$ C $0$ D $5832$

Answer and solution

Answer: (A) $1458$

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

$= 729 + 729$

$= 1458$
$6^3 \div 3^3 =$
A $189$ B $27$ C $8$ D $2$

Answer and solution

Answer: (C) $8$

$6^3 = 216$ , $3^3 = 27$

$216 \div 27 = 8$
If $x = 5$ and $y = -4$ , then $x^3 + y^3 =$
A $189$ B $61$ C $41$ D $1$

Answer and solution

Answer: (B) $61$

$5^3 + (-4)^3 = 125 + (-64)$

$= 125 - 64$

$= 61$

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MCQ test, Set 6