TQUK Maths Level 2 Past Paper 5

Work out 9.486 – 0.52

Work out 4 × 2.125

Work out:
8 1/2 + 2 1/5
Give your answer as a mixed number.

Work out 100 + 5²× 2

Dale is an estate agent and sells two properties.
These are the sale prices:

Dale thinks that the total sale price for both properties is more than £1 215 000
Is Dale correct?

A concrete block has:

• mass = 4800 grams
• volume = 2000 cm³

Work out the density of the concrete block.

The distance between Taylor’s house and Kai’s house on a map is 8 centimetres (cm).
The scale on the map is 1 : 50 000
Work out the actual distance between the two houses.
Give your answer in kilometres (km).

Lei asks a group of people whether they own a car or a van.
The results are shown in this Venn diagram:

One of these people is chosen at random.
What is the probability that the person chosen does not own a car or a van?
Give your answer as a decimal.

What type of correlation does the scatter graph show?

Write down the mode of these numbers:
1000     2000     1200     1500     1200     1400     1375

Riley wants to put a square vegetable patch in a garden.
One side of the vegetable patch is shown on the grid below:

Write down possible coordinates for the other two corners of the square.

Write:  1/16
a) as a decimal
b) as a percentage.

Jessie reads reviews for a film online.
210 of the reviewers would recommend the film.
30 of the reviewers would not recommend the film.
What percentage of the total number of reviewers would recommend the film?

Sam needs to put a fence around the garden shown below:

Fence panels are 2.6 metres wide.
The fence panels can be cut to size after Sam buys them.
How many fence panels does Sam need to buy?

Stevie needs to estimate the surface area of a sphere.
Stevie knows:

• the radius of the sphere is 8 cm
• π = 3.14159

Stevie rounds π to the nearest whole number to estimate the surface area of the sphere.
What answer should Stevie get?
Use:
A= 4r²
Where:
A = surface area of sphere
r = radius of sphere

Parker wants to fill the path around a fishpond with grey and white pebbles to a depth of 0.06 metres (m).

Parker uses this formula to estimate the total amount of pebbles needed:

(Area of larger rectangle – area of smaller rectangle) multiplied by depth of pebbles

Parker reduces the total amount by 38% to estimate the amount of white pebbles required.

What answer should Parker get?

Hayden cycles 15 miles in 50 minutes.
Hayden thinks it is more than 17 miles per hour (mph).
Is Hayden correct?

Kass is planning a road trip.
The total distance is 4000 kilometres (km).
Kass only wants to drive a maximum of 180 miles each day.
How many whole days will Kass need to complete the 4000 km?
Use this graph to convert between kilometres and miles.

Jude needs to order 200 sandwiches for a party.
Jude has these instructions:

• order cheese, ham and chicken sandwiches in the ratio 5 : 2 : 1

Complete the shopping list for Jude

Harper works at an aquarium.
Harper needs to fill this cylindrical fish tank until it is 72% full

Harper knows that the tank will hold 981 250 cubic centimetres (cm³) of water when it is full.
To what height does Harper need to fill the tank?
Use π = 3.14

Dylan wants to estimate how much it will cost to carpet a section of floor.
The section of floor is made up of a rectangle with a semi-circle on each end.

Dylan uses the modal price to estimate how much the total cost will be.
How much does Dylan estimate it will cost to carpet the section of floor?
Give your answer to the nearest pound (£).
Use π = 3.14