MCQ test, Set 8

Set 8 of 10
25 questions
25 marks
30 minutes

Download the PDF (with key sheet and solutions, 73 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 $\displaystyle -\frac{1}{3}$ , $-16$ , $7$ and $a$ is a variable?
A $\displaystyle -\frac{1}{3}$ B $-16$ C $7$ D $a$

Answer and solution

Answer: (D) $a$

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

$\displaystyle -\frac{1}{3}$ , $-16$ and $7$ have fixed values: they are constants.
Which of $r$ , $-10$ , $n$ and $t$ is a constant?
A $r$ B $-10$ C $n$ D $t$

Answer and solution

Answer: (B) $-10$

$-10$ has a fixed value, so it is a constant.

$r$ , $n$ and $t$ can take various values: they are variables.
$5 \times t =$
A $5t$ B $-5t$ C $5 + t$ D $t - 5$

Answer and solution

Answer: (A) $5t$

$5 \times t = 5t$

Write the number first, then the letter.
The product of $17$ and $c$ is
A $\displaystyle \frac{17}{c}$ B $c + 17$ C $17c$ D $\displaystyle \frac{c}{17}$

Answer and solution

Answer: (C) $17c$

Multiply: $17 \times c = 17c$
The symbolic form of 'divide $x$ by $5$ ' is
A $5x$ B $\displaystyle \frac{x}{5}$ C $x - 5$ D $\displaystyle \frac{5}{x}$

Answer and solution

Answer: (B) $\displaystyle \frac{x}{5}$

$x$ divided by $5$ is $\displaystyle \frac{x}{5}$
The symbolic form of ' $30$ more than $m$ ' is
A $m - 30$ B $m + 30$ C $30m$ D $30 - m$

Answer and solution

Answer: (B) $m + 30$

$30$ more than $m$ : add $30$ to $m$ .

$m + 30$
The symbolic form of ' $9$ less than half of $a$ ' is
A $\displaystyle \frac{a}{2} + 9$ B $\displaystyle 9 - \frac{a}{2}$ C $\displaystyle \frac{a}{2} - 9$ D $\displaystyle \frac{a - 9}{2}$

Answer and solution

Answer: (C) $\displaystyle \frac{a}{2} - 9$

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

$9$ less than it: take away $9$ .

$\displaystyle \frac{a}{2} - 9$
The symbolic form of ' $10$ more than half of $y$ ' is
A $\displaystyle \frac{y}{2} - 10$ B $\displaystyle \frac{y}{2} + 10$ C $2y + 10$ D $\displaystyle \frac{y + 10}{2}$

Answer and solution

Answer: (B) $\displaystyle \frac{y}{2} + 10$

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

$10$ more than it: add $10$ .

$\displaystyle \frac{y}{2} + 10$
$0 \times p =$
A $0$ B $1$ C $p$ D $-p$

Answer and solution

Answer: (A) $0$

Rule: $0 \times a = 0$

$0 \times p = 0$
$\displaystyle \frac{pq}{1} =$
A $1$ B $0$ C $pq$ D $\displaystyle \frac{1}{pq}$

Answer and solution

Answer: (C) $pq$

Rule: $\displaystyle \frac{a}{1} = a$

$\displaystyle \frac{pq}{1} = pq$
Which of $\displaystyle \frac{11a}{t}$ , $-15bc$ , $14$ and $8a - t$ is not a term?
A $\displaystyle \frac{11a}{t}$ B $-15bc$ C $14$ D $8a - t$

Answer and solution

Answer: (D) $8a - t$

A term is made by multiplication (or) division only.

$8a - t$ joins two terms with a $-$ sign, so it is not a term.
The factors of $-9pqt$ are
A $p, q, t$ only B $-9, p, q, t$ C $9, p, q, t$ D $-9$ only

Answer and solution

Answer: (B) $-9, p, q, t$

$-9pqt = -9 \times p \times q \times t$

So the factors are $-9, p, q, t$ (the sign stays with the number).
Which of the following is not a way of writing $72$ as a product of two factors?
A $6 \times 12$ B $5 \times 14$ C $2 \times 36$ D $4 \times 18$

Answer and solution

Answer: (B) $5 \times 14$

$4 \times 18 = 72$ , $6 \times 12 = 72$ , $2 \times 36 = 72$

$5 \times 14 = 70 \ne 72$
The coefficient of $m$ in $8mnq$ is
A $8nq$ B $8$ C $nq$ D $8m$

Answer and solution

Answer: (A) $8nq$

$8mnq = 8nq \times m$

So the coefficient of $m$ is $8nq$ .
The coefficient of $mn$ in $-18mn$ is
A $-18$ B $18$ C $-18mn$ D $mn$

Answer and solution

Answer: (A) $-18$

$-18mn = -18 \times mn$

So the coefficient of $mn$ is $-18$ .
The coefficient of $mp$ in $\displaystyle \frac{mp}{10}$ is
A $10$ B $0$ C $1$ D $\displaystyle \frac{1}{10}$

Answer and solution

Answer: (D) $\displaystyle \frac{1}{10}$

$\displaystyle \frac{mp}{10} = \frac{1}{10} \times mp$

So the coefficient of $mp$ is $\displaystyle \frac{1}{10}$ .
The coefficient of $t$ in $\displaystyle -\frac{t}{7}$ is
A $\displaystyle \frac{1}{7}$ B $7$ C $\displaystyle -\frac{1}{7}$ D $-7$

Answer and solution

Answer: (C) $\displaystyle -\frac{1}{7}$

$\displaystyle -\frac{t}{7} = -\frac{1}{7} \times t$

So the coefficient of $t$ is $\displaystyle -\frac{1}{7}$ .
Terms which contain the same literal factors are called
A unlike terms B constants C like terms D factors

Answer and solution

Answer: (C) like terms

Same literal factors: like (or) similar terms, e.g. $4pq$ and $-9pq$ .
Which of the following is not a like term of $10pqt$ ?
A $-9pqt$ B $2pqt$ C $\displaystyle -\frac{3}{4}pqt$ D $-5nqt$

Answer and solution

Answer: (D) $-5nqt$

Like terms have the same literal factors $pqt$ .

$10pqt$ has literal factors $pqt$ , $-5nqt$ has literal factors $nqt$ : different, so unlike terms.
The sum of $4mp$ and $13mp$ is
A $17$ B $17mp$ C $9mp$ D $52mp$

Answer and solution

Answer: (B) $17mp$

$4mp + 13mp = (4 + 13)mp$

$= 17mp$
$7a + 12a + 15a =$
A $34a$ B $19a$ C $34$ D $27a$

Answer and solution

Answer: (A) $34a$

$7a + 12a + 15a = (7 + 12 + 15)a$

$= 34a$
$19y + 8 + 5y + 6 =$
A $38y$ B $14y + 24$ C $27y + 11$ D $24y + 14$

Answer and solution

Answer: (D) $24y + 14$

$19y + 8 + 5y + 6 = (19y + 5y) + (8 + 6)$

$= (19 + 5)y + (8 + 6)$

$= 24y + 14$
$10c - 14c =$
A $-24c$ B $4c$ C $24c$ D $-4c$

Answer and solution

Answer: (D) $-4c$

$10c - 14c = (10 - 14)c = -4c$

Signs different: subtract and keep the sign of the bigger: $10 - 14 = -4$
$-7q + 9q =$
A $16q$ B $-2q$ C $2q$ D $-16q$

Answer and solution

Answer: (C) $2q$

$-7q + 9q = (-7 + 9)q = 2q$

Signs different: subtract and keep the sign of the bigger: $-7 + 9 = 2$
$17b + 8 - 18b + 5 =$
A $-b + 13$ B $b + 13$ C $-b - 13$ D $12b$

Answer and solution

Answer: (A) $-b + 13$

$17b + 8 - 18b + 5 = (17b - 18b) + (8 + 5)$

$= (17 - 18)b + (8 + 5)$

$= -b + 13$

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MCQ test, Set 8