A shop pays all its workers the minimum national wage (MNW) set by the government.
There are different levels of MNW, depending on your age.
The current rates (from 1 October 2011) are:
£6.08 - the main rate for workers aged 21+
£4.98 - the 18-20 rate
£3.68 - the 16-17 rate for workers above school leaving age
Luke is 16 and Jane is 18. They both work in the shop on Saturday from 9am to 4pm.
How much more will Jane get than Luke
a) Use the equation to complete the table of values.
The stopping distance S (in feet) of a car is calculated using this formula :
where x is the speed in mph.
c) Using your graph, estimate the stopping distance S for a car with a speed of 45mph
A farmer needed to harvest the crops in a field.
The field was 200m by 120m
The farmer used a combine harvester with a blade cutting width of 4m for each cut across the field
a) How many cuts would the farmer need to make to harvest the field
The combine harvester had a speed of 4.8km per hour.
b) How long would it take the farmer to harvest crops in the field.
Give your answer in hours and minutes
A plan of a swimming pool is shown below.
a) Calculate the area of the swimming pool
One area of the pool is for toddlers and another area is for adults only.
The toddler's paddling area is within 5m of the corner J
The adult area is within 4m of the side ML
b) Copy the plan using 2m=1cm and then draw these two areas accurately on the plan.
Matt looked at his yearly income statement and noticed some missing values.
Copy the statement and use the formula below to complete it
His taxable pay is worked out using the tax code 747L.
This means, he doesn't pay tax on £7475 of his gross pay.
a) Taxable Pay = Gross Pay – £7475.
Work out Matt's Taxable Pay.
b) Matt's Income tax = 20% of Taxable Pay.
Work out Matt's Income tax.
c) Matt's Total Deductions = Income Tax + NI (national Insurance)
Work out Matt's Total Deductions.
d) Net Pay = Gross pay – Total deductions.
Work out Matt's Net Pay.
e) What % of his gross pay is deducted.
In 2012, the United Kingdom hosted the Olympic Games in London. A standard running track is shaped like this:
The track is made from two semi-circles at each end joined by two straights.
For the inside running lane, the radius of each circle is 36.80m and the two straights are 84.39m each as shown below.
a) Calculate the area of the track.
Give your answer to nearest whole number
The Olympic Marathon is over 42 kilometres long.
A runner can lose over 3 ½ litres of sweat during a marathon.
This water must be replaced and so cups of water are handed out along the race.
Each cup holds ⅛ litre.
a) How many cups of water should a runner drink during the race?
b) After drinking one litre of water approximately how far would a runner have gone. Give your answer to the nearest km.
The chart shows the number of cinema tickets sold at two cinemas in a week
a) On which day were the same number of tickets sold at both cinemas
b) What was the total number of tickets sold at the Rave at the weekend
c) Work out the mean number of tickets sold at CineBlue for the seven days
The normal ticket price is £5.40 at CineBlue
On a Thursday CineBlue has a special offer - two tickets for the price of one
d) How much money did CineBlue take on Thursday
A carton of custard is in the shape of a cuboid as shown.
The carton was 12cm high, 7.5cm wide and 4.5cm deep.
a) Work out the volume of the carton.
The custard company wants to design a new larger carton to hold 1000cm3 of custard.
The base of the carton is a square and the height is 10cm more than the width as shown.
The volume of a carton is given by
V = x3 + 10x2 where x is the base width
b) Using trial and improvement work out x when V = 1000cm3
Give your answer to one decimal place.
Laura wants to make her own custard.
She uses the recipe below for 4 people
½ tea spoon vanilla extract
2 eggs, yolks only
15 grams sugar
a) How much milk would she need to make custard for 10 people
b) How much vanilla essence would she need to make custard for 2 people
Give your answer as a fraction of a tea spoon
A group of 16 university students hired a mini-bus for the day.
The mini-bus cost £40 per day plus an extra charge for mileage.
Between 0-100 miles this was 82p per mile and above 100 miles it was 41 p per mile.
The mileage reading at the start of the trip was 32,863 and 33,050 at the end.
Each student paid £10.
How much profit or loss did the trip make?
Cyril had a pack of 48 playing cards.
Each card in the pack was either black or red with a circle, square, triangle or rectangle symbol shown below.
Cyril picked one card at random.
a) What was the chance of picking a card with a triangle symbol Give your answer as a fraction in its simplest form
b) A black card was picked. What is the probability that it has a square symbol.
Cyril took the circle cards from the pack. They were numbered 10 to 19. He picked one card at random.
c) What is the probability of picking a card with a prime number
The graph shows how far Bill travelled on his bike ride. The first part of his journey was uphill.
a) How many times did he stop for a rest?
b) Calculate Bill's speed for the parts of the graph labelled A and B. Give your answer in km per hour.
c) At 12:10 Bill rode home downhill at a speed of 26 km per hour. What time did he arrive home.