NCFE Maths Level 1 Past Papers December 2019 Section B

John is opening a healthy-eating café.
He looks for a property with a seating area for 20 customers.
This is a scale plan of the seating area in one property he finds.
The drawing has a scale of 1 centimetre (cm):150 cm

The recommended maximum number of customers in a café is the seating area (m²) divided by 1.5

Is this property suitable for 20 customers?

Another property has a kitchen that has an area of 7 metres squared.
What is 7²?

John wants his menu to offer healthy food.
He reads that six hundred and seventeen thousand people went to hospital last year with illnesses caused by a poor diet.
What is six hundred and seventeen thousand in numbers?

John fills a fruit bowl with 6 apples, 4 plums, 5 oranges and 3 pears.
The first customer chooses a piece of fruit at random.
What is the probability that they choose a pear?

Write 60% as a decimal.

John looks at the bills from all the customers.
The range of amounts spent is £22.46
The largest bill was £24.56
What was the smallest bill?

John asks his customers to rate the café.
• The customers give four times as many good ratings as excellent ratings.
• The customers also give three times as many excellent ratings as satisfactory ratings.

60 customers rated the café as good.

How many customers rated the café as satisfactory?

Hamid organises a go-karting party for himself and five friends.
The cost is £29.95 per person.
He uses rounding to estimate the cost for the whole group.
How much is the estimated cost?

Hamid needs to book transport.
A small minibus will cost £45
He has a voucher for 5% off.
How much will the minibus cost Hamid?

The safety instructions show a plan view of the go-kart.

Hamid says that the go-kart is 1.5 m high, 2 m long and 0.6 m wide.

Is Hamid correct?

This table shows the times Hamid and two of his friends take to complete their first lap.

Write these times in order of fastest to slowest.

Which person had the fastest lap?

Hamid looks at the times on the leader board for that day.
The times are in seconds.

Calculate the mean time.

The friends go to lunch after they have raced.
Bethany has a voucher giving her 35% off.
Ikrah has a voucher for ²/₅ off.

Who has the better discount?

Natalie teaches a childcare course.
She is planning a trip with 16 students.
They have volunteered to work for two weeks abroad.
They need to raise £2000 per student to pay for the trip.
They have already raised ⁷/₈ of the money needed.
How much money have they raised so far?

They have one eighth left to raise.
Write one eighth in figures.

Natalie packs children’s clothes into boxes.
Each box is a cube with side lengths of 50 cm
The clothes weigh 350 grams (g) per 500 cm³
Calculate the weight of the clothes in each box when the box is full.
Give your answer in kg

When the group get on the plane the pilot announces that the temperature is 10 °C at their destination.
It is –2 °C in the UK.
What is the difference in temperature from the UK to their destination?

The volunteers are going to help children in a home.
The ratio of boys to girls in the home is 1 : 3
There are 80 children in total.
75% of the boys and 40% of the girls are under 10
How many boys and how many girls are under 10?

Natalie knows that only 60% of the children can write their name.
She chooses one of the children at random to work with.

What is the probability that this child can write their name as a decimal?