13. Ratio (Foundation) (Practice Questions)

Note:

Use Q2, Q3, Q4, Q5, Q6 from Ratio (Foundation) from GCSE

£ $120$ is split between 3 people in the ratio $1:2:3$ .

Sally receives the most money from the split.

How much does she receive?

Answer: $£60$

Wrong Answers:

$£30$

$£80$

$£40$

WORKING:

$£120\div (1+2+3) = £20$

$£20\times3=£60$

The ratio of boys to girls in a class is $5:6$ .

If there are 18 girls in the class, how many boys are there?

Answer: $15$

Wrong Answers:

$11$

$12$

$16$

WORKING:

$18\div6=3$

$5\times3=15$

Alex has 30 pens and 45 pencils. If he buys 5 more pens, what is the new ratio of pens to pencils in its simplest form?

Answer: $7:9$

Wrong Answers:

$2:3$

$3:4$

$5:7$

WORKING:

New amount of pens = $35$

Ratio = $35:45 = \dfrac{35}{5}:\dfrac{45}{5} = 7:9$

Which of the following is equivalent to the ratio $7:9:5$ ?

Answer: $28:36:20$

Wrong Answers:

$14:18:12$

$21:18:20$

$42:54:40$

WORKING:

$28\div7=4$ , $36\div9=4$ , $20\div5=4$

So the ratio $7:9:5$ multiplied by $4$ = $28:36:20$

Q10

A family is going to Majorca on holiday, if the ratio of time spent in the car to time spent on the plane is $3:4$ and if the flight time is $2$ hours, what is the total journey time?

Answer: $3$ hours $30$ minutes

Wrong Answers:

$3$ hours

$4$ hours $30$ minutes

$3$ hours $50$ minutes

WORKING:

$2\div4=0.5$

$3\times0.5=1.5$

$1.5+2=3.5\text{ hours }= 3$ hours $30$ minutes