Functional Skills Diagnostic Maths Assessment
Workbook
Name :
This assessment should take approximately 1 hour.
Answer all questions.
Answer the questions in the spaces provided
You are allowed to use a calculator
marks.
however all working out MUST be shown or you will lose
Advice
Read each question carefully before you start to answer it.
Keep an eye on the time.
Mark achieved
/55
Level -
Comments
1–6
7 – 13
14– 20
21-38
39-55
Entry Level 1
Entry Level 2
Entry Level 3
Level 1
Level 2
1. 234 + 509 =
(1)
2. 874 – 385 =
(1)
3. Calculate sixteen times eight.
(1)
4. Round 387 to the nearest hundred?
(1)
5. What value is the number 8 in 803?
(1)
6. Write the number 847 in words.
(1)
7. Tom shops at a supermarket.
Here is his shopping list.
Tom only has a ten pound note and a five pound note.
He wants to buy as many of the items on his list as possible.
Which items should Tom buy?
(2)
8. A group of 23 people go to the airport in taxis.
Each taxi holds 4 people.
How many taxis are needed?
(1)
9. You have six groups who need 56 cakes per group.
How many cakes will this be in total?
(1)
10. Mel wraps some parcels with bubble wrap.
Mel uses 420 cm of bubble wrap for a large parcel.
He uses half as much for a small parcel.
How much bubble wrap does Mel use for a small parcel?
11.
(1)
Mel starts to pack glasses at 11:00
He packs glasses for 45 minutes.
He then takes half an hour to load the delivery truck.
What time does Mel finish loading the delivery truck?
(1)
12. Kerry decides to go to the cinema to see a film.
Kerry gets on the bus at the park.
Here is the bus timetable.
Kerry wants to get a bus to arrive at the cinema before 8.15pm.
What is the latest time Kerry can get the bus at the park?
(2)
13. Denise puts boxes of biscuits on a shelf in a supermarket.
Each box is 20cm long.
The shelf is 1.5m long.
How many boxes can Denise fit in a row on the shelf?
(2)
14. Asaf wants a data collection sheet to record breakfast orders.
The breakfast menu has a choice of:
Egg
Bacon
Sausage
Mushrooms
Toast
There are 4 places at each table in the cafe
The data collection sheet must show:
The table number
The food ordered by each customer
Design a data collection sheet for Asaf.
(3)
15. The full price for dinner at a camp site restaurant is £16 per person.
Alec and Moira have vouchers.
They can only use one voucher
Moira says,
“Both vouchers give us the same discount”.
Is Moira correct?
(4)
16. Ramona is going to drive to visit her friend Michael.
She has to drive 350 miles on motorways.
Ramona fills the petrol tank with 45 litres of petrol for the journey.
Here is the rule to calculate the amount of petrol needed for a motorway journey.
Is 45 litres of petrol enough to drive 350 miles on the motorway?
(3)
17. Ramona wants to fill up the screen wash bottle in her car before she starts her journey.
She mixes 1 part screen wash to 8 parts water.
Ramona use 40ml of screen wash.
How much water should Ramona use?
(2)
18. John wants to have a space in his garden for his guinea pigs to play.
He is going to use 10m of fencing.
The play space must
- be rectangular
- have a width of 2m
John can use the garden wall for one side of the play space.
Draw a scale plan of the play area on the grid below.
(3)
19. Omel needs to buy food for a scout camp; there will be 4 leaders and 25 cubs on
the camping trip.
At breakfast there is going to be a choice of food.
Omel knows that each morning about 2/3 of campers will choose cereal for breakfast.
A large packet of cereal contains 26 servings and costs £2.53
Find the total cost of buying enough packets of cereal for breakfast for 5 days.
Show a check of your working.
(4)
20. Alan owns a dog kennels and needs to have food for 55 dogs.
He does his calculation using 400- 500g of food per a dog each day.
On Friday night after the dogs have been fed Alan checks his supplies of dog food.
Alan has 12 bags of food.
Each bag contains 15kg of food.
His next dog food delivery will be early next Friday before the dogs are fed.
Does Alan have enough food for 55 dogs?
(5)
21. Haja is going to have a new floor tiles put on her bathroom floor.
The bathroom floor is rectangle 2.2m by 2.5m
The floor tiles Haija chooses are 330mm long by 25omm wide.
She buys 8 boxes of floor tile. There are 9 floor tiles in each box.
The tiles can be cut but the spare pieces must be thrown away.
Does Hajia have enough floor tiles?
(5)
22. Luca finds out that he needs to have a BMI between 18.5 and 25.
He finds this formula to work out his BMI.
Luca is 6ft tall.
He weighs 182 pounds.
Does Luca have a BMI between 18.5 and 25?
(4)
23. Dave is a milk tanker driver.
He collects milk from farms.
At 9.35 am he arrives at Pete’s farm.
Dave has to wait until the temperature of the milk is 5º C or below.
The temperature of Pete’s milk is 9 º at 9.35am.
The milk cools at a rate of 1 ºC every 10 minutes.
Dave pumps the milk into the tanker at 20 000 litres per hour.
Dave has to collect 2500 litres of milk from Pete’s farm.
Dave usually takes an extra 5 to 10 minutes to pack up at the end.
He wants to leave Pete’s farm by 10.45am.
Will Dave be ready to leave Pete’s farm at 10.45am?
(6)