NCFE Maths Level 1 Past Papers Practice Paper 1 Section B

Zac is doing an apprenticeship in Animal Care and Management.
He is working as an assistant at a reptile centre.
Zac learns about how to look after reptiles.

What is the maximum length of a Box terrapin in millimetres (mm)?

The age of a young Garter snake can be estimated using this rule:

An adult Garter snake is about 72 cm long.
What age is a Garter snake when its length is 72 cm?

It is important that reptiles are given the correct diet.
The calcium : phosphorus weight ratio in their food should be close to 2 : 1
The table shows the weight in milligrams (mg) of calcium and phosphorus in one scoop of food.

Which food has the better calcium : phosphorus ratio for reptiles?

A customer needs to buy a tank for his snake.
Zac has this information about the sizes of tanks:

Which is the cheapest tank the customer should buy for one snake which is 45 cm long?

Another customer already has a terrapin tank.
She wants advice on how many terrapins to buy.

When her tank is filled, the water surface area is 6000 cm2
Terrapins need a water surface area of:
• 1900 cm² for two terrapins
• then an additional 300 cm² for each additional terrapin.

What is the maximum number of terrapins Zac should advise the customer to buy?

The class tutor has provided some snakes for the students to handle.
5 of the snakes are green and 4 are brown.
Zac is first to choose and picks a snake at random.

What is the probability that he picks a brown snake?

Tess does voluntary work for a local nature group.
The group wants to estimate the number of wildflower plants in a field.
To calculate the area of the field, Tess has to work out 40²
Calculate the value of 40²

Asha lives in Nottingham. She is planning a cycling trip in Holland.
Asha plans the trip in two stages:
• take the train from Nottingham to Harwich
• take the ferry from Harwich to the Hook of Holland.
This is part of the train timetable from Nottingham to Harwich:

How many hours does the 19:28 train from Nottingham take to get to Harwich if it runs to time?

The return train fare from Nottingham to Harwich is £158.80
Asha has a student railcard which gives her 30% off.
How much will Asha pay for her return ticket?

Asha plans to cycle from the Hook of Holland to Amsterdam.
Her map has a scale of 1 cm to 8 (kilometres) km
The straight line distance between the
Hook of Holland and Amsterdam is 70 km

What is the measurement between these two places on Asha’s map?
Give your answer in mm

Asha will spend two days in Amsterdam and then cycle back to catch the ferry at the Hook of Holland.

The road distance between two places is about 40% longer than the straight line distance.

Estimate the actual road distance Asha will cycle in total.
Give your answer in km

Asha needs to buy a pair of cycle bags for her trip.
She reads an article which says that, for a cycling holiday, the cycle bags need to have a capacity of at least 20 litres each.
1 litre is the same as 1000 cm3
Asha sees some cycle bags which each have these dimensions:

• height 42 cm
• width 32 cm
• depth 17 cm
The cycle bags are roughly cuboid in shape.

Are these cycle bags large enough?

The empty cycle bags weigh 0.76 kg each.
Asha says, “Two of these cycle bags together will weigh less than 1.6 kg.”
Is Asha correct?

The cycle bags that Asha buys weigh 0.85 kg each.
Asha fills one bag with clothes.
The clothes weigh 473 grams (g).
How much does the cycle bag containing the clothes weigh?

Asha’s instructions say, “When you leave the ferry port, go east.”
Asha is cycling north.
How many degrees clockwise does she need to turn to cycle east?

Between 2014 and 2017 the number of people sleeping rough increased by 75%
Write this percentage as a fraction in its simplest form.

Calculate 75% of 2744
Give your answer to the nearest hundred.

A charity asks people to donate 40p a day to sponsor rooms for people sleeping rough.
The charity hopes to raise 1 million pounds a year through these donations.

How many people would have to donate 40p a day to raise at least £1 000 000 for the charity in a year?
Use the conversion: 365 days = 1 year

A community group raises money to help people who sleep rough.
Volunteers pack shopping bags at a local supermarket and ask shoppers for donations.
The table shows the numbers of volunteers who packed bags on 32 Saturdays in 1 year.

Use the data to complete this frequency table.

Over these days the volunteers collected £6224
What was the mean amount of money collected each Saturday?

The amounts of money collected each Saturday had a range of £53
The most money collected in a day was £220
What was the least amount of money collected in a day?

Abdhul is a member of the community group.
On a Saturday he either packs shopping bags or he takes part in another activity.
The table shows the probability of him taking part in each activity.

Which activity is Abdul most likely to take part in?