FS Paper 15 - Cardiff Tutor Company

PAPER 15

PAPER 15A

QUESTION 1 [1 mark]

Estimate $48.8 \times 5.1 \times 6.9$

Answer type: Multiple choice type 1

A: $1750$

B: $62$

C: $175$

D: $1500$

ANSWER: A

WORKING:

50 \times 5 \times 7 = 1750

QUESTION 2 [1 mark]

What is $40\%$ of $24$ hours?

Answer type: Simple text answer

ANSWER: 9.6 hours

WORKING:

24\times0.4=9.6\text{ hours}

QUESTION 3 [1 mark]

What is the decimal equivalent to $\dfrac{1}{8}$ ?

Answer type: Simple text answer

ANSWER: 0.125

QUESTION 4 [1 mark]

The cost of hiring a bike for a number of days is calculated using the formula,

Hire Cost = ( $8 \, \times$ Number of Days) $+ \, 25$

Calculate the cost of hiring a bike for $7$ days, in $£$ .

Answer type: Simple text answer

ANSWER: £81

WORKING:

Hire Cost = ( $8 \, \times7) + \, 25=\text{£}81$

QUESTION 5 [1 mark]

Work out $\dfrac{5}{6}-\dfrac{3}{8}$ in its simplest form.

Answer type: Fraction

ANSWER: $\dfrac{11}{24}$

WORKING:
$\dfrac{5}{6}-\dfrac{3}{8}=(\dfrac{5}{6}\times\dfrac{4}{4})-(\dfrac{3}{8}\times\dfrac{3}{3})=\dfrac{20}{24}-\dfrac{9}{24}=\dfrac{11}{24}$

QUESTION 6 [1 mark]

Evaluate $(2\times3-4)\div5$

Answer type: Fraction

ANSWER: $\dfrac{2}{5}$

WORKING:

(2\times3-4)\div5=(6-4)\div5=2\div5=\dfrac{2}{5}

QUESTION 7 [1 mark]

Calculate the following: $56.21-9.73$

Answer type: Simple text answer

ANSWER: 46.48

QUESTION 8 [2 marks]

An Amazon driver has been requested to deliver goods to a house $30$ miles away from the depot.

It takes the Amazon driver $30$ minutes to deliver the goods.

Calculate the average speed of the delivery driver for this journey.

Answer type: Simple text answer

ANSWER: 60 mph

WORKING:

$\text{Speed} = \dfrac{30}{0.5}=60$ mph

QUESTION 9 [1 mark]

This is a conversion graph between cm and inches.

Using the conversion graph, what is $15$ cm in inches?

Answer type: Simple text answer

ANSWER: 6 inches

QUESTION 10 [1 mark]

Sally buys a house for $£200 000$

She later sells the house for $£220 000$

Calculate the percentage profit Sally makes.

Answer type: Simple text answer

ANSWER: 10 $\%$

WORKING:

£220 000-£200 000=£20000\\

\dfrac{£20000}{£200000}=10\%

QUESTION 11 [1 mark]

Choose the correct side elevation of the 3D shape shown.

Answer type: Multiple choice type 1

A: B:

C: D:

ANSWER: A

QUESTION 12 [1 mark]

What 3D shape can be created with the net shown?

Answer type: Multiple choice type 1

A: Cube

B: Frustum

C: Square-based pyramid

D: Square

ANSWER: A

QUESTION 13 [1 mark]

In a class of $24$ people, $18$ people pass a Maths test. What proportion of the class did not pass the Maths test? Give your answer as a fraction in its simplest form.

Answer type: Fraction

ANSWER: $\dfrac{1}{4}$

WORKING:

\dfrac{24-18}{24}=\dfrac{1}{4}

QUESTION 14 [1 mark]

Evaluate $8\times9-49\div7-3\times1+3\times3$

Answer type: Simple text answer

ANSWER: 71

8\times9-49\div7-3\times1+3\times3=8\times9-7-3\times1+3\times3=72-7-3+9=71

PAPER 15B

QUESTION 1 [1 mark]

Work out $6 \times 1.8^2$

Give your answer as a decimal to $2$ decimal places.

Answer type: Simple text answer

ANSWER: 19.44

QUESTION 2 [2 marks]

The cost of printing for students is given as:

\text{Cost in pence} = 4 \times \text{number of black and white pages} + 10 \times \text{number of colour pages}

Work out how much a booklet of $30$ black and white pages, and $10$ colour pages will cost to print.

Give your answer in pounds.

Answer type: Simple text answer

ANSWER: £2.20

WORKING:

\text{Cost in pence} = 4 \times 30 + 10 \times 10=220\text{p}=£2.20

QUESTION 3 [2 marks]

Sarah is saving a portion of her pocket money each month.

In March she saves $£9.39$

In April she saves $£12.02$

In May she saves $£14.88$

Work out how much she has saved in total over the three months.

Answer type: Simple text answer

ANSWER: £36.29

WORKING:

£9.39+£12.02+£14.88=£36.29

QUESTION 4 [2 marks]

The normal price of a train ticket is $£38.40$

Students gets $\dfrac{1}{3}$ off the price of his train ticket.

Work out how much a student pays for their ticket.

Answer type: Simple text answer

ANSWER: £25.60

WORKING:

£38.40\times\dfrac{2}{3}=£25.60

QUESTION 5 [2 marks]

What is $36$ hours equivalent to in seconds ?

Answer type: Simple text answer

ANSWER: 129600 seconds

WORKING:

$36\times60\times60=129600$ seconds

QUESTION 6 [3 marks]

Four friends order pizza from a take away. The amount of pizza each person eats is shown below.

Matthew eats $0.8$ of a pizza

Lily eats $\dfrac{3}{4}$ of a pizza

George eats $77\%$ of a pizza

Sam eats $82\%$ of a pizza

Which person eats the most pizza?

Answer type: Multiple choice type 1

A: Sam

B: Lily

C: Matthew

D: George

ANSWER: A

WORKING:

$0.8 = 80\%$ and $\dfrac{3}{4} = 75\%$

Sam eats the most, since $82\%$ is the biggest.

QUESTION 7 [6 marks]

A person wishes to post a package that weighs $6.5$ lb.

When they get to the post office, they’re told that the first $2$ kg cost $£10$ to post, and every interval of $500$ g over will cost an additional $£2$

If $1$ lb $= 453$ g, how much will it cost to post the package?

Answer type: Simple text answer

ANSWER: £14

WORKING:

$6.5 \times 453 = 2944.5$ g

The first $2$ kg costs $£10$

Then there are $2$ intervals of $500$ g over, which costs $£4$

Total $= £14$

QUESTION 8 [5 marks]

$ABCD$ is square with an area of $64$ m $^2$ .

Calculate the perimeter of $ABCD$ .

Answer type: Simple text answer

ANSWER: 32 m

WORKING:

$x^2=64$ , $x=8$

Therefore, the perimeter of the square is, $8+8+8+8=32$ m

QUESTION 9 [4 marks]

Choose the correct drawing of the shape on the $1$ cm by $1$ cm grid at a scale of $1 : 30$ cm

Answer type: Multiple choice type 1

ANSWER: A

QUESTION 10 [5 marks]

The diagram shows the outline of a cuboid, $ABCDEFGH$ .

Given that: $AB=3$ cm, $BC=12$ cm, and $CF=16$ cm.

Find the volume of the cuboid.

Answer type: Simple text answer

ANSWER: 576 cm $^3$

WORKING:

Volume $= 3\times12 \times16=576$ cm $^3$

QUESTION 11 [3 marks]

The table below displays the time taken by students to complete an event on a school sports day.

What proportion of students completed the event in $2$ minutes or under? Give your answer as a decimal correct to two decimal places.

Answer type: Simple text answer

ANSWER: 0.47

WORKING:

$\dfrac{0+2+11+32}{0+2+11+32+33+18}=0.46875=0.47$ to two decimal places

QUESTION 12 [2 marks]

Ruth is on holiday in Spain.

She spends $€85.50$ in a restaurant.

The exchange rate is $£1 = €1.20$

Calculate how much she spends in pounds $(£)$ .

Answer type: Simple text answer

ANSWER: £71.25

WORKING:

85.50 \div 1.20 = £71.25

QUESTION 13 [3 marks]

Laura bought a house for $£300 000$

In the first year the house price increased by $3\%$

In the second year the house price increased by $4\%$

Work out the price of the house at the end of the second year.

Answer type: Simple text answer

ANSWER: £321360

WORKING:

300000 \times 1.03 \times 1.04= £321360

QUESTION 14 [2 marks]

Simplify $2.3$ kg $: 700$ g $: 1.8$ kg as much as possible.

Answer type: Multiple choice type 1

A: $23$ g $: 7$ g $: 18$ g

B: $230$ g $: 70$ g $: 180$ g

C: $23$ g $: 7000$ g $: 18$ g

D: $46$ g $: 14$ g $: 36$ g

ANSWER: A

QUESTION 15 [3 marks]

If $5$ housemates get through $1.5$ litres of milk per day, how much milk will they need for $2$ days when $3$ friends stay for the weekend?

Answer type: Simple text answer

ANSWER: 4.8 litres

WORKING:

$2 \times \dfrac{1.5}{5} \times 8 = 4.8$ litres