NCFE Maths Level 1 Past Papers Practice Paper Section B

Nadia is buying a new house.
She reads an article about house prices in her area.
The article contains this graph:

Nadia says,
“The average house price has doubled since last year!”
Is she correct?

The article also contains this graph:

Nadia says,
“The graph shows that London has the lowest house prices!”
Is Nadia correct?

In Nadia’s region, house prices rose by ¹/₂₅ in the last 12 months.
Which region does Nadia live in?

Nadia borrows £6255 for one year to pay for improvements to her new house.
The rate of interest is 5% per year.
How much interest will Nadia pay on this loan?

Nadia decides that she will tile the floor of the dining area.
She wants to put one row of blue tiles around the edge of the dining area.
The rest of the tiles will be white.
This is a plan of the dining area:

The tiles all measure 0.3 m by 0.3 m
What will be the perimeter of the block of white tiles?

Nadia wants to draw a scale diagram of the garden.
The garden is rectangular and measures 1350 cm by 1000 cm
Nadia says,
“If I use a scale of 1 cm to 50 cm, the drawing will fit on a piece of A4 paper”.
A4 paper measures 297 mm by 210 mm

Is Nadia correct?

Nadia wants to buy some grass seed for her garden.
She compares two different brands.

The better quality grass seed is the one with the highest proportion of rye grass.
Which brand sells the better quality grass seed?

‘Good to Grow’ and ‘Grass It’ cost the same.
How much will it cost Nadia to buy grass seed to cover an area of 60 m²?

In a local gymnastics competition, each person takes part in four events:

• Floor
• A-Bars
• Beam
• Vault

Points are scored for each event. Here is some information about the points scored so far in the competition.

There are still three people who need to compete on Vault.

How many more points did Jaspreet score than Jordan for the Beam?

Calculate the range of points scored for the A-Bars.

The total points scored by all gymnasts so far for the Vault is 79.80
Calculate the mean points scored for the Vault so far.

Pat says,
“I need 12.75 points on the vault to score the same total points as Alex”.
Is Pat correct?

The winner is the person who scores the highest total points at the end.
If two competitors score the same total points, the winner is the person who scores higher in the most events.
Here are the final scores.

Who won the competition?

The people who are awarded 1st, 2nd and 3rd places win trophies.

The weights of the 1^st and 3^rd trophies are in the ratio 3 : 1
The weights of the 2^nd and 3^rd trophies are in the ratio 2 : 1

The weight of the 1^st trophy is 354 g
What is the weight of the 2^nd trophy?

Each trophy is made of a metal cup on a wooden base.
The base of the 2^nd place trophy:

is a cuboid with a volume 202.8 cm³
has a length of 6.5 cm and a width of 6.5 cm

Work out the height of the 2^nd place trophy base.

Raj works in a factory that makes teddy bears.
It makes large bears and small bears.
Raj’s job is to check that the bears are not faulty.
He records the number of faults he finds each day for 20 days.

Use Raj’s data to complete this table.

The factory makes two hundred and forty thousand bears a year.
³/₅ of these are small bears.
How many small bears does the factory make each year?

Raj finds that, in a sample of 20 faulty bears, three have more than one fault.
He picks a bear from the sample at random to show his manager.

What is the probability that the bear has more than one fault?

Write your answer as a decimal.

The probability that a faulty bear chosen at random has lost its label is ¹/₇

What is the probability that the bear has not lost its label?
Give your answer as a decimal to 2 decimal places.