Name:
Exam Style Questions
Forming and Solving Equations
Equipment needed: Pen, calculator
Guidance
1. Read each question carefully before you begin answering it.
2. Check your answers seem right.
3. Always show your workings
Video Tutorial
www.corbettmaths.com/contents
Videos 114, 115
Answers and Video Solutions
© Corbettmaths 2024
1. Three angles made up a straight line.
(a) Form an equation in x.
........................................
(2)
(b) Solve the equation to nd the value of x
x = ......................°
(2)
(c) Work out the size of the largest angle.
......................°
(1)
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2. The diagram below shows a triangle.
The sides are measured in centimetres.
(a) Write an expression, in terms of x, for the perimeter of the triangle.
……………………..
(2)
The perimeter of the triangle is 61cm
(b) Write down an equation in terms of x.
……………………..
(1)
(c) Solve the equation to nd x.
……………………..
(2)
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3. A child bus ticket costs £x
An adult bus ticket costs £9
Diona bought three child bus tickets and ve adult bus tickets.
The total price of the bus tickets was £63
Find the price of a child bus ticket.
£.....................
(3)
4. Sarah is x years old.
Thomas is 3 years older than Sarah.
David is twice as old as Sarah.
The total of their ages is 51.
(a) Write an expression for Thomas’s age in terms of x.
.........................
(1)
(b) Write an expression for David’s age in terms of x.
.........................
(1)
(c) Form an equation in x and solve it to work out Sarah’s age.
.........................
(2)
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5. James has x pence.
Hannah has 5 pence more than James.
Liam has 2 pence less than James.
The total amount of money they have is 75 pence.
(a) Use this information to write down an equation in x.
........................................
(2)
(b) Solve the equation to nd out how much money James has.
.........................pence
(2)
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6. Three angles meet at a point.
Calculate the size of the largest angle.
......................°
(4)
7. Shown is a triangle.
Work out the value of x.
x = ......................°
(4)
© Corbettmaths 2024
