MCQ test, Set 6

Set 6 of 10
25 questions
25 marks
30 minutes

Download the PDF (with key sheet and solutions, 71.6 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.

Which of $m$ , $7$ , $18$ and $\displaystyle -\frac{8}{9}$ is a variable?
A $m$ B $7$ C $18$ D $\displaystyle -\frac{8}{9}$

Answer and solution

Answer: (A) $m$

$m$ can take various numerical values, so it is a variable.

$7$ , $18$ and $\displaystyle -\frac{8}{9}$ have fixed values: they are constants.
Which of $z$ , $\displaystyle \frac{2}{3}$ , $n$ and $m$ is a constant?
A $z$ B $\displaystyle \frac{2}{3}$ C $n$ D $m$

Answer and solution

Answer: (B) $\displaystyle \frac{2}{3}$

$\displaystyle \frac{2}{3}$ has a fixed value, so it is a constant.

$z$ , $n$ and $m$ can take various values: they are variables.
The sum of $t$ and $a$ is
A $a - t$ B $t - a$ C $ta$ D $t + a$

Answer and solution

Answer: (D) $t + a$

Sum means add.

$t + a$
The subtraction of $6$ from $y$ is
A $y + 6$ B $-6y$ C $y - 6$ D $6 - y$

Answer and solution

Answer: (C) $y - 6$

Take $6$ away from $y$ .

$y - 6$
The symbolic form of 'the subtraction of $7z$ from $28$ ' is
A $28 + 7z$ B $28 - 7z$ C $21z$ D $7z - 28$

Answer and solution

Answer: (B) $28 - 7z$

Take $7z$ away from $28$ .

$28 - 7z$
The symbolic form of 'divide $n$ by $6$ ' is
A $n - 6$ B $\displaystyle \frac{n}{6}$ C $6n$ D $\displaystyle \frac{6}{n}$

Answer and solution

Answer: (B) $\displaystyle \frac{n}{6}$

$n$ divided by $6$ is $\displaystyle \frac{n}{6}$
The symbolic form of 'one third of $b$ ' is
A $3b$ B $b - 3$ C $\displaystyle \frac{b}{3}$ D $\displaystyle \frac{3}{b}$

Answer and solution

Answer: (C) $\displaystyle \frac{b}{3}$

One third of $b$ is $\displaystyle \frac{b}{3}$
The symbolic form of ' $3$ less than half of $y$ ' is
A $\displaystyle \frac{y}{2} - 3$ B $\displaystyle \frac{y}{2} + 3$ C $\displaystyle \frac{y - 3}{2}$ D $\displaystyle 3 - \frac{y}{2}$

Answer and solution

Answer: (A) $\displaystyle \frac{y}{2} - 3$

Half of $y$ is $\displaystyle \frac{y}{2}$ .

$3$ less than it: take away $3$ .

$\displaystyle \frac{y}{2} - 3$
$1 \times mnq =$
A $0$ B $mnq$ C $-mnq$ D $1$

Answer and solution

Answer: (B) $mnq$

Rule: $1 \times a = a$

$1 \times mnq = mnq$
$-1 \times m =$
A $m$ B $-1$ C $0$ D $-m$

Answer and solution

Answer: (D) $-m$

Rule: $-1 \times a = -a$

$-1 \times m = -m$
Which of $c + x$ , $2 - c$ , $a + 12$ and $-9yz$ is a term?
A $c + x$ B $2 - c$ C $a + 12$ D $-9yz$

Answer and solution

Answer: (D) $-9yz$

A term is made by multiplication (or) division only; the others use $+$ (or) $-$ .

So $-9yz$ is a term.
In a product, each of the literal (or) numerical values is called a
A factor B like term C constant D term

Answer and solution

Answer: (A) factor

E.g. $7ab = 7 \times a \times b$ : $7$ , $a$ , $b$ are the factors of $7ab$ .
The factors of $-14xz$ are
A $14, x, z$ B $x, z$ only C $-14, x, z$ D $-14$ only

Answer and solution

Answer: (C) $-14, x, z$

$-14xz = -14 \times x \times z$

So the factors are $-14, x, z$ (the sign stays with the number).
The coefficient of $pqr$ in $-15pqr$ is
A $-15pqr$ B $15$ C $pqr$ D $-15$

Answer and solution

Answer: (D) $-15$

$-15pqr = -15 \times pqr$

So the coefficient of $pqr$ is $-15$ .
In $17mn$ , $17$ is the coefficient of
A $n$ B $17mn$ C $m$ D $mn$

Answer and solution

Answer: (D) $mn$

$17mn = 17 \times mn$

So $17$ is the coefficient of $mn$ .
The coefficient of $b$ in $\displaystyle -\frac{b}{11}$ is
A $\displaystyle \frac{1}{11}$ B $\displaystyle -\frac{1}{11}$ C $-11$ D $11$

Answer and solution

Answer: (B) $\displaystyle -\frac{1}{11}$

$\displaystyle -\frac{b}{11} = -\frac{1}{11} \times b$

So the coefficient of $b$ is $\displaystyle -\frac{1}{11}$ .
The coefficient of $xz$ in $\displaystyle \frac{xz}{4}$ is
A $0$ B $1$ C $\displaystyle \frac{1}{4}$ D $4$

Answer and solution

Answer: (C) $\displaystyle \frac{1}{4}$

$\displaystyle \frac{xz}{4} = \frac{1}{4} \times xz$

So the coefficient of $xz$ is $\displaystyle \frac{1}{4}$ .
Which of the following is a like term of $7pqt$ ?
A $7pq$ B $-12pqt$ C $7qtx$ D $7$

Answer and solution

Answer: (B) $-12pqt$

Like terms have the same literal factors $pqt$ .

$7pqt$ , $-12pqt$ : the same literal factors $pqt$ , so like terms.
Which of the following is not a like term of $2t$ ?
A $-4t$ B $-5t$ C $2$ D $4t$

Answer and solution

Answer: (C) $2$

Like terms have the same literal factors $t$ .

$2t$ has literal factors $t$ , $2$ has no literal factor: different, so unlike terms.
The sum of $21y$ and $10y$ is
A $31y$ B $31$ C $210y$ D $-11y$

Answer and solution

Answer: (A) $31y$

$21y + 10y = (21 + 10)y$

$= 31y$
$15ab + 6ab =$
A $9ab$ B $90ab$ C $21$ D $21ab$

Answer and solution

Answer: (D) $21ab$

$15ab + 6ab = (15 + 6)ab$

$= 21ab$
$4x + 7 + 20x + 3 =$
A $34x$ B $11x + 23$ C $24x + 10$ D $10x + 24$

Answer and solution

Answer: (C) $24x + 10$

$4x + 7 + 20x + 3 = (4x + 20x) + (7 + 3)$

$= (4 + 20)x + (7 + 3)$

$= 24x + 10$
$-28r - 19r =$
A $-9r$ B $-47r$ C $47r$ D $9r$

Answer and solution

Answer: (B) $-47r$

$-28r - 19r = (-28 - 19)r = -47r$

Signs same: add and keep the sign: $-28 - 19 = -47$
$14r - 25r =$
A $-11r$ B $39r$ C $-39r$ D $11r$

Answer and solution

Answer: (A) $-11r$

$14r - 25r = (14 - 25)r = -11r$

Signs different: subtract and keep the sign of the bigger: $14 - 25 = -11$
$8ac - 10 - 20 - 7ac =$
A $ac - 30$ B $-ac - 30$ C $-29ac$ D $ac + 30$

Answer and solution

Answer: (A) $ac - 30$

$8ac - 10 - 20 - 7ac = (8ac - 7ac) + (-10 - 20)$

$= (8 - 7)ac + (-10 - 20)$

$= ac - 30$

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MCQ test, Set 6