Sample Assessment Material

Ria works in a paint shop.
She needs to make 1500 ml of purple paint.

Ria makes purple paint by mixing red paint and blue paint and white paint in the
ratio 3 : 2 : 1

How much blue paint does Ria need to make 1500 ml of purple paint?

Here is some information about the number of houses sold by 20 sales people.

Work out an estimate for the mean number of houses sold.

Amanda wants to buy a new mobile phone.
She sees these two offers for the same mobile phone.

Amanda says,
‘I will save more than £300 in total over 2 years with offer B’.

Use estimation to check if her statement is reasonable.

Matt buys a new fish tank.
The fish tank is in the shape of a cuboid.
The diagram shows water in the tank.

Matt knows
1000 cm³ = 1 litre
1 gallons = 4.5 litres
He can keep 2 small fish in the tank for every 1 gallon of water in the tank.
Matt thinks he can keep more than 36 small fish in the tank.

Is Matt correct?

Dan throws two fair dice.
The numbers on dice A are  1  −2  3  −4  5  −6
The numbers on dice B are  −1  2  −3  4  −5  6

The table shows some total scores from throwing the two dice.

Dan throws the two dice once.

What is the probability that the total score is –11?

Dan throws two fair dice.
The numbers on dice A are  1  −2  3  −4  5  −6
The numbers on dice B are  −1  2  −3  4  −5  6

The table shows some total scores from throwing the two dice.

Dan throws the two dice again.

What is the probability that the new total score is 0?

Last year Zack had two jobs.

Zack worked
• in an office for 12 months and earned £2600 per month
• at a gym for 39 weekends and earned £80 per weekend.

What fraction of his total income last year came from his work at the gym?

Here is a cube of side length 2.5 cm.

Work out the surface area of this cube.

Megan is the manager of a computer shop.
She organises a sale with 18% off all tablets.

Megan changes the price of one tablet from £389 to £330.98

Has Megan changed the price correctly?

A team of workers deliver identical fridges.
The team will use the average time to fully load an old lorry to predict the time to fully load a new lorry.

The table shows the times it took to fully load the old lorry with 24 fridges.

The diagram shows the space available for fridges in the new lorry.
The space is in the shape of a cuboid.

Each fridge needs a rectangular floor space 1000 mm by 800 mm.
The team do not stack fridges.
They think it will take less than 90 minutes to fully load the new lorry.

Are they correct?

Louis makes a cake.
The cake is in the shape of a cylinder with diameter 14 inches.

Louis needs to put a ribbon around this cake.
The ribbon will go around the cake once with a 6 inch overlap.
Louis has a piece of ribbon 48inches in length.

Is this piece of ribbon long enough for this cake?

George will cover part of a floor with tiles.
The part of the floor is in the shape of a triangle as shown.

George buys tiles in packs.
Each pack covers 1m² and costs £39.95

The tiles can be cut and joined.
George gets ¹⁄₃ off the cost of the packs of tiles.

Work out the lowest cost of the tiles for George.

Gabi wants to buy a flat.
The cost of the flat is £175 000

The bank uses this formula to work out the mortgage Gabi can get.

Gabi has an annual income of £34 000
She will have to pay a deposit for the flat.
The deposit is the difference between the cost of the flat and the mortgage.

Work out the deposit Gabi will have to pay.

Gabi invests £4000 for 3 years.
The investment earns 2% compound interest per annum.

Work out the value of the investment at the end of 3 years