Mathematics 0580 · IGCSE

Introduction to algebra

31 practice questions on Introduction to algebra, with worked solutions and instant marking.

Use $s = ut + 16t^2$.

Feb/March 2017

Calculate the temperature on Wednesday.

Feb/March 2020

A farmer plants $t$ trees each day. Give an expression for the number of trees he plants in $d$ days.

Feb/March 2025

Using $y = mx + c$, determine the value of $y$ when $m = -2$, $x = -7$ and $c = -3$.

May/June 2016

Work out $y$ when $m = -2$, $x = -7$ and $c = -3$.

May/June 2016

Determine the value of $5a - 3b$.

May/June 2017

Determine the value of $5a - 3b$.

May/June 2017

Calculate the value of $7x + 3y$.

May/June 2018

Find $7x + 3y$ for $x = 12$ and $y = -6$.

May/June 2018

Maria purchases $n$ pencils, each priced at $p$ cents. She uses a $\$y$ note to pay.

May/June 2021

Maria purchases $n$ pencils, each priced at $p$ cents. She gives a $$y$$ note as payment.

May/June 2021

Give an expression for the price of one bag of flour.

May/June 2022

Find the value of $v$ for $u = 4$ and $t = -7$.

May/June 2023

Write an expression, in dollars, for the cost of $t$ tickets.

May/June 2025

Find $y$ when $x = 6$.

Oct/Nov 2015

Calculate $2\mathbf{a} - \mathbf{b}$.

Oct/Nov 2016

Find the value of $V$ when $p = 3$.

Oct/Nov 2016

Given $V = 4p^2$. Work out $V$ when $p = 3$.

Oct/Nov 2016

$T = a^2 + 4b$

Oct/Nov 2018

Esme purchases $x$ magazines costing $2.45$ each and $y$ cards costing $3.15$ each.

Oct/Nov 2019

Esme purchases $x$ magazines priced at \$2.45 each, together with $y$ cards costing \$3.15 apiece.

Oct/Nov 2019

The formula can be written as $A = \frac{1}{4}bc^2$.

Oct/Nov 2020

$v = u + at$

Oct/Nov 2023

A chocolate bar is priced at $3$, whereas a bag of sweets is priced at $5$.

Oct/Nov 2023

Use $v = u + at$.

Oct/Nov 2023

In a league competition, a team earns 4 points for every win, 2 points for every draw, and bonus points. Suppose the team has $x$ wins, $y$ draws and $b$ bonus points.

Oct/Nov 2024

Sacha purchases $b$ books and $m$ magazines. Each book has a price of $\$12$ and each magazine has a price of $\$5$.

Oct/Nov 2024

Determine the cost of 1 peach.

Oct/Nov 2025

$Y = 3t^2 + 2m$

Oct/Nov 2025

Because of a problem with question 20, that question has been removed from the question paper.

Oct/Nov 2025

Rearrange the formula $m=9p+32$ so that $p$ is the subject.

Oct/Nov 2025