Grade 9 Mathematics Term 3 0017

There are 2 children in a family. Stuart is 2 years older than his sister Jess. Together, the sum of their ages is 8. How old are Stuart and Jess?

• Stuart is 5 years old and Jess is 3 years old
• Stuart is 6 years old and Jess is 2 years old
• Stuart is 4 years old and Jess is 4 years old
• Stuart is 7 years old and Jess is 1 year old

John is three times as old as Peter. In 6 years' time John will be twice as old as Peter will be. Determine their present ages.

• John is 18 and Peter is 6
• John is 24 and Peter is 8
• John is 30 and Peter is 10
• John is 36 and Peter is 12

Tickets for a dance cost R250 for a couple and R150 for a single ticket. Twice as many couple tickets were sold as single tickets. Say x single tickets were sold. The total income for the sale was R65 000. Set up an equation to calculate x.

• 650x = 65000

• 550x = 65000

• 450x = 65000

• 400x = 65000

Tickets for a dance cost R250 for a couple and R150 for a single ticket. Twice as many couple tickets were sold as single tickets. Say x single tickets were sold. The total income for the sale was R65 000. Calculate how many single tickets were sold.

• x = 100

• x = 150

• x = 120

• x = 250

Tickets for a dance cost R250 for a couple and R150 for a single ticket. Twice as many couple tickets were sold as single tickets. Say x single tickets were sold. The total income for the sale was R65 000. Determine how many people attended the dance altogether.

• x = 300

• x = 450

• x = 360

• x = 750

The cost of a taxi ride is a fixed amount of R30 plus R4 per kilometre. If Nandi paid R62 for her taxi ride, use an equation to find out what distance she travelled.

• Nandi travelled 8 kilometres
• Nandi travelled 10 kilometres
• Nandi travelled 12 kilometres
• Nandi travelled 15 kilometres

A car has a fuel tank that holds 45 litres of fuel. The car consumes 8.5 litres of fuel for each 100km driven. A trip of 350km was started with a full tank of fuel. How many litres of fuel remained in the tank at the end of the trip?

• 29.75 litres

• 15.25 litres

• 25.5 litres
• 30.5 litres

If 12 workers clean up a certain stretch of the Jukskei river in 4 days, how long would it have taken to clean up this stretch if only 8 workers had been available?

• 16 days

• 18 days

• 8 days

• 6 days

Given: y = 628 - 4x

A yoghurt tank has a volume of 628 litres when it is full. However, this tank developed a leak and the contents drain out at a rate of 4 litres per minute. The formula above represents the amount of yoghurt inside the tank where x is the time in minutes. How long will it take for the tank to be empty?

• 157 minutes
• 156 minutes
• 158 minutes
• 159 minutes

^{What is the solution to the system of equations?}