Practise algebraic manipulation, equations, inequalities, sequences, functions and coordinate or practical graphs across CAIE IGCSE Mathematics.
Miguel works in an office.
White paper costs w cents per sheet and pink paper costs p cents per sheet.
Miguel uses 56 sheets of white paper and 21 sheets of pink paper.
Write down an expression, in terms of w and p, for the total cost, in cents, of the paper he uses.
cents
Simplify 3 c-5 d-c+2 d.
Solve the equation 12x-7=23.
x= ___
Multiply out.
Work out the value of h when A=38.64, a=5.5 and b=3.7.
h= ___
Alphonse is x years old and Beatrice is y years old.
Three times Alphonse's age is equal to 5 times Beatrice's age.
Twice Beatrice's age is 4 years more than Alphonse's age.
Use this information to write down two equations in x and y.
Find the age of Alphonse and the age of Beatrice.
Alphonse ___ years old
Beatrice ___ years old
Simplify.
The graph shows the cost, $ c, of travelling a distance, , with Saanvi's Taxis.
Write down the cost of a 4 km journey.
$
Krishna's Taxis cost $ 5 to hire plus $ 2 for each kilometre travelled.
Show that the cost of a 4 km journey with Krishna's Taxis is $ 13.
Mrs Singh wants to hire a taxi. She says that Saanvi's Taxis are always cheaper than Krishna's Taxis.
Is Mrs Singh correct?
Give a reason for your answer. Use your graph to help you. because
A minibus can be hired from Dhruv's Minibuses.
The cost is $ h per hour plus $ p per passenger.
When the minibus is hired for 3 hours with 10 passengers the cost is $ 61.
Complete the equation.
When the minibus is hired for 5 hours with 8 passengers the cost is $ 80.
Write this information as an equation. =
Solve your two simultaneous equations to find h and p. You must show all your working.