MCQ test, Set 5

Set 5 of 10
25 questions
25 marks
30 minutes

Download the PDF (with key sheet and solutions, 66.9 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.

$4^3$ is the same as
A $4 \times 3$ B $3 \times 3 \times 3 \times 3$ C $4 \times 4 \times 4$ D $4 \times 4$

Answer and solution

Answer: (C) $4 \times 4 \times 4$

$4^3$ means 4 multiplied by itself 3 times.

$4^3 = 4 \times 4 \times 4 = 64$
$6 \times 6 \times 6 \times 10 \times 10 \times 10$ can be written as
A $18 \times 30$ B $6^3 \times 10^3$ C $16^3$ D $6^2 \times 10^2$

Answer and solution

Answer: (B) $6^3 \times 10^3$

Three 6's multiplied give $6^3$ ; three 10's multiplied give $10^3$ .
$8 \times 8 \times 8$ in power form is
A $8^3$ B $3^{8}$ C $8^2$ D $24$

Answer and solution

Answer: (A) $8^3$

8 is multiplied by itself 3 times.

$\therefore 8 \times 8 \times 8 = 8^3$
How many small cubes make a big cube that has 3 small cubes along each edge?
A $36$ B $27$ C $9$ D $54$

Answer and solution

Answer: (B) $27$

Each layer has $3 \times 3$ cubes and there are 3 layers.

Number = $3^3 = 27$
The largest cube less than 300 is
A $200$ B $125$ C $216$ D $343$

Answer and solution

Answer: (C) $216$

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

$216 < 300 < 343$ , so the largest cube below 300 is 216.
The smallest cube greater than 400 is
A $450$ B $343$ C $729$ D $512$

Answer and solution

Answer: (D) $512$

From the table: $7^3 = 343$ and $8^3 = 512$

$343 < 400 < 512$ , so the smallest cube above 400 is 512.
How many cubes of whole numbers lie between 50 and 1000?
A $6$ B $5$ C $8$ D $7$

Answer and solution

Answer: (A) $6$

From the table of cubes, the cubes between 50 and 1000 are $64$ , $125$ , $216$ , $343$ , $512$ , $729$ .

That is 6 cubes.
$16^3 =$
A $256$ B $3375$ C $4096$ D $48$

Answer and solution

Answer: (C) $4096$

$16 \times 16 = 256$

$256 \times 16 = 4096$
To find $13^3$ , Rani first works out $13 \times 13 = 169$ . What should she do next?
A $13 \times 3$ B $169 \times 169$ C $169 \times 3$ D $169 \times 13$

Answer and solution

Answer: (D) $169 \times 13$

$13^3 = 13 \times 13 \times 13$ , so the product $169$ must be multiplied by 13 once more.

$169 \times 13 = 2197$
$70^3 =$
A $4900$ B $343000$ C $34300$ D $210$

Answer and solution

Answer: (B) $343000$

$70 \times 70 = 4900$

$4900 \times 70 = 343000$
$(-5)^3 =$
A $-75$ B $25$ C $-125$ D $-15$

Answer and solution

Answer: (C) $-125$

$(-5)^3 = (-5) \times (-5) \times (-5)$

$= 25 \times (-5) = -125$
$(-11)^3 = -\square$ . The number in the box is
A $33$ B $1728$ C $121$ D $1331$

Answer and solution

Answer: (D) $1331$

$(-11)^3 = -11^3 = -1331$

So the box is 1331.
$(-20)^3 =$
A $400$ B $-60$ C $-800$ D $-8000$

Answer and solution

Answer: (D) $-8000$

$(-20) \times (-20) = 400$

$400 \times (-20) = -8000$
$10^3 + 10^3 =$
A $1000000$ B $1000$ C $2000$ D $8000$

Answer and solution

Answer: (C) $2000$

$10^3 + 10^3 = 1000 + 1000$

$= 2000$
$1^3 + 3^3 + 6^3 =$
A $244$ B $1000$ C $30$ D $46$

Answer and solution

Answer: (A) $244$

$1^3 + 3^3 + 6^3 = 1 + 27 + 216$

$= 244$
$4^3 + 5^3 =$
A $41$ B $27$ C $729$ D $189$

Answer and solution

Answer: (D) $189$

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

$= 189$
$3^3 + (-5)^3 =$
A $-16$ B $152$ C $-98$ D $-8$

Answer and solution

Answer: (C) $-98$

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

$= 27 - 125$

$= -98$
$(-1)^3 + 4^3 =$
A $27$ B $65$ C $15$ D $63$

Answer and solution

Answer: (D) $63$

$(-1)^3 + 4^3 = -1 + 64$

$= 63$
$(-1)^3 + 4^3 + (-2)^3 =$
A $55$ B $1$ C $71$ D $73$

Answer and solution

Answer: (A) $55$

$(-1)^3 + 4^3 + (-2)^3 = -1 + 64 + (-8)$

$= -1 + 64 - 8$

$= 55$
$2^3 - 6^3 =$
A $-32$ B $-208$ C $-224$ D $-64$

Answer and solution

Answer: (B) $-208$

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

$= -208$
$7^3 - 2^3 =$
A $125$ B $335$ C $45$ D $351$

Answer and solution

Answer: (B) $335$

$7^3 - 2^3 = 343 - 8$

$= 335$
One big cube has 10 small cubes along each edge and another has 4. How many more small cubes does the first one have?
A $936$ B $84$ C $216$ D $1064$

Answer and solution

Answer: (A) $936$

More = $10^3 - 4^3$

$10^3 - 4^3 = 1000 - 64$

$= 936$
$(-2)^3 - (-4)^3 =$
A $-72$ B $56$ C $12$ D $8$

Answer and solution

Answer: (B) $56$

$(-2)^3 - (-4)^3 = -8 - (-64)$

$= -8 + 64$

$= 56$
$-3^3 - 6^3 =$
A $-243$ B $189$ C $-45$ D $-729$

Answer and solution

Answer: (A) $-243$

$-3^3 - 6^3 = -27 - 216$

$= -243$
$-12^3 - (-12)^3 =$
A $-2 \times 12^3$ B $12^6$ C $-12^3$ D $0$

Answer and solution

Answer: (D) $0$

$(-12)^3 = -12^3$

$-12^3 - (-12^3) = -12^3 + 12^3 = 0$

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MCQ test, Set 5