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These are the solutions to the CSEC past questions on Expressions and Equations.
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(1.) Word problems are written in standard British English.
(2.) Some word problems are very lengthy and some are unnecessary.
Those ones are meant to discourage you from even trying.
(3.) Word problems in Mathematics demonstrate the real-world applications of mathematical concepts.
(4.) Embrace word problems. See it as writing from English to Math.
Take time to:
(a.) Read to understand. Paraphrase and shorten long sentences as necessary.
(b.) Re-read and note/underline the vocabulary "math" terms written in English.
(c.) Translate/Write "important" sentences one at a time.
(d.) Review what you wrote to ensure correctness.
(e.) Solve the math, and check your solution in the word problem.
Does that solution makes sense? If it does, you are probably correct. If it does not, please re-do it.
| English | Math |
|---|---|
| $7$ more than a number, $p$ | $7 + p$ |
| $7$ increased by a number, $q$ | $7 + q$ |
| $7$ added to a number, $r$ | $7 + r$ |
| A number, $g$ added to $7$ | $g + 7$ |
| The sum of $7$ and a number $t$ | $7 + t$ |
| $7$ less than a number, $p$ | $p - 7$ |
| $7$ decreased by a number, $q$ | $7 - q$ |
| A number, $r$ decreased by $7$ | $r - 7$ |
| $7$ subtracted from a number, $e$ | $e - 7$ |
| A number, $t$ subtracted from $7$ | $7 - t$ |
| The difference of $7$ and a number, $u$ | $7 - u$ |
| The difference of a number, $v$ and $7$ | $v - 7$ |
| $7$ times a number, $p$ | $7 * p$ = $7p$ |
| $7$ multiplied by a number, $q$ | $7 * q$ = $7q$ |
| A number, $r$ multiplied by $7$ | $r * 7$ = $7r$ |
| The product of a $7$ and a number, $h$ | $7 * h$ = $7h$ |
| The product of a number $t$ and $7$ | $t * 7$ = $7t$ |
| $7$ divided by a number, $p$ | $7 \div p$ |
| A number, $q$ divided by $7$ | $q \div 7$ |
| $7$ divides a number, $r$ | $r \div 7$ |
| A number, $m$ divides $7$ | $7 \div m$ |
| The quotient of $7$ and a number, $t$ | $7 \div t$ |
| The quotient of a number, $u$ and $7$ | $u \div 7$ |
| A number, $d$ decreased by the sum of the number and five | $d - (d + 5)$ |
| Three times the product of negative two and a number, $c$ | $3(-2c)$ |
| "is" or "equal to" or "equals" | $=$ |
| $3$ consecutive integers beginning with $3$ | $3, 4, 5$ |
| $3$ consecutive integers beginning with $-3$ | $-3, -2, -1$ |
| $3$ consecutive integers beginning with $p$ | $p, (p + 1), (p + 2)$ |
| $3$ consecutive even integers beginning with $8$ | $8, 10, 12$ |
| $3$ consecutive even integers beginning with $-8$ | $-8, -6, -4$ |
| $3$ consecutive even integers beginning with $q$ | $q, (q + 2), (q + 4)$ |
| $3$ consecutive odd integers beginning with $7$ | $7, 9, 11$ |
| $3$ consecutive odd integers beginning with $-7$ | $-7, -5, -3$ |
| $3$ consecutive odd integers beginning with $r$ | $r, (r + 2), (r + 4)$ |
| The smaller of three consecutive integers beginning with $p$ | $p$ |
| The middle of three consecutive integers beginning with $p$ | $p + 1$ |
| The larger of three consecutive integers beginning with $p$ | $p + 2$ |
| The median of five consecutive odd integers beginning with $p$ | $p + 4$ |
| The larger of five consecutive even integers beginning with $p$ | $p + 8$ |
| The sum of three consecutive integers is $12$ |
Let the first integer = $p$ $p + (p + 1) + (p + 2) = 12$ |
| The sum of three consecutive even integers is $12$ |
Let the first even integer = $p$ $p + (p + 2) + (p + 4) = 12$ |
| The sum of three consecutive odd integers is $12$ |
Let the first odd integer = $k$ $k + (k + 2) + (k + 4) = 12$ |
| Twice a number, $p$ | $2 * p$ = $2p$ |
| Double a number, $d$ | $d * 2$ = $2d$ |
| Thrice a number, $r$ | $3 * r$ = $3r$ |
| Triple a number, $c$ | $c * 3$ = $3c$ |
| Quadruple a number, $p$ | $4 * p$ = $4p$ |
| Multiplicative inverse or Reciprocal of a number, $p$ | $\dfrac{1}{p}$ |
| $5$ less than twice a number, $c$ |
Twice a number, $c$ = $2c$ $5$ less than $2c$ = $2c -5$ $2c - 5$ |
| $4$ more than twice as many tickets, $t$ |
Twice as many tickets, $t$ = $2t$ $4$ more than $2t$ = $4 + 2t$ $4 + 2t$ |
| The difference between the product of seven and a number, $k$; and twice the number. |
Product of seven and $k$ = $7k$ Twice $k$ = $2 * k = 2k$ Difference between $7k$ and $2k$ = $7k - 2k$ $7k - 2k$ |
| The product of seven less than the temperature, $t$ and three |
Seven less than $t$ = $t - 7$ Product of $t - 7$ and three = $3(t - 7)$ $3(t - 7)$ |
| The difference between the profit, $P$ divided by four and nine |
$P$ divided by four = $\dfrac{P}{4}$ Difference between $\dfrac{P}{4}$ and nine = $\dfrac{P}{4} - 9$ $\dfrac{P}{4} - 9$ |
| The difference between twelve times a number, $d$; and five more than three times the number. |
Twelve times $d$ = $12d$ Three times $d$ = $3 * d = 3d$ Five more than $3d$ = $5 + 3d$ Difference between $12d$ and $5 + 3d$ = $12d - (5 + 3d)$ $12d - (5 + 3d)$ |
| A number, $p$ decreased by the difference between ten and the number. |
Difference between ten and $p$ = $10 - p$ $p$ decreased by $10 - p$ = $p - (10 - p)$ $p - (10 - p)$ |
| The difference between the square of a number, $m$ and six times the number. |
Square of $m$ = $m^2$ Six times $m$ = $6 * m = 6m$ Difference between $m^2$ and $6m$ = $m^2 - 6m$ $m^2 - 6m$ |
| The cube of the sum of a number, $p$ and seven. |
Sum of $p$ and seven = $p + 7$ Cube of $p + 7$ = $(p + 7)^3$ $(p + 7)^3$ |
| The sum of a number, $k$ increased by nine and a number, $d$ decreased by seven. |
$k$ increased by nine = $k + 9$ $d$ decreased by seven = $d - 7$ Sum of $k + 9$ and $d - 7$ = $(k + 9) + (d - 7)$ $(k + 9) + (d - 7)$ |
| Twelve less than the quotient of the square of a number, $e$ and eight. |
Square of $e$ = $e^2$ Quotient of $e^2$ and eight = $\dfrac{e^2}{8}$ Twelve less than $\dfrac{e^2}{8}$ = $\dfrac{e^2}{8} - 12$ $\dfrac{e^2}{8} - 12$ |
| Complement of an angle, $\theta$ | $90 - \theta$ |
| Suppleement of an angle, $\theta$ | $180 - \theta$ |
© 2025 Exams Success Group:
Your
Success in Exams is Our Priority
The Joy of a Teacher is the Success of his
Students.